Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 10.3, Problem 97E
A Better Golf Tee? An independent golf equipment testing facility compared the difference in the performance of golf balls hit
off a regular 2-3/4” wooden tee to those hit off a 3” Stinger Competition golf tee. A Calloway Great Big Bertha driver with 10 degrees of loft woo used for the test and a robot swung the club head at approximately 95 miles per hour. Data on ball velocity (in miles per hour) with each type of tee, based on the test results, are provided on the WeissStats site. Use the technology of your choice to do the following.
- a. Obtain normal probability plots, boxplots, and the standard deviations for the two samples.
- b. Based on your results from part (a), which would you be inclined to use to compare the population means: a pooled or a nonpooled t-procedure? Explain your answer.
- c. At the 5% significance level, do the data provide sufficient evidence to conclude that, on average, ball velocity is less with the regular tee than with the Stinger tee? Perform the required hypothesis test by using both the pooled t-test and the nonpooled t-test, and compare results.
- d. Find a 90% confidence interval for the difference between the
mean ball velocities with the regular and Stinger tees. Obtain the required confidence interval by using both the pooled t-interval procedure and the nonpooled t-interval procedure. Compare your results.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
This triangle is not drawn to scale corresponding
to the data in the exercises.
a
A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company’s previous golf ball. To determine this, 40 new-style golf balls and 40 original-style golf balls are randomly selected from the company’s production line on a specific day. The balls are then placed in a bag and shaken. A golf pro then selects a ball and hits it using a driver. The distance the ball travels is then measured. The bag is shaken again, and the golf pro selects another ball and hits it with the same driver. He continues this procedure until all 80 of the golf balls are hit.
Which of the following is a benefit of having replication in the experiment?
A)Repeating the experiment will allow the company to compare the distances traveled by the new type of golf ball from both experiments.
B)Having a large number of each type of golf ball will allow for a good comparison of the differences in distances traveled for the two types of balls.…
An ecologist hypothesizes a relationship between wing span of birds and the width of tree branches they use. The ecologist captured male birds, measured their wing span and other characteristics in
millimeters, and then marked and released them. During the ensuing winter, the ecologist repeatedly observed the marked birds as they foraged for food on tree branches. He noted the branch
diameter on each occasion, and calculated the average branch diameter for each bird in centimeters. The measurement data are below. What can the ecologist conclude with an a of 0.10?
wing span
branch diameter
79.3
80.1
80.7
81.5
79.5
80.7
81.1
80.5
80.7
1.02
1.04
1.21
1.15
1.21
1.56
1.39
1.31
1.39
a) What is the appropriate statistic?
Select-
Compute the statistic selected in a):
b) Obtain/compute the appropriate values to make a decision about Ho-
Critical Value -
; Test Statistic=
Decision: -Select-
c) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or…
Chapter 10 Solutions
Introductory Statistics (10th Edition)
Ch. 10.1 - Understanding the Concepts and Skills 10.1 Give an...Ch. 10.1 - Define the phrase independent samples.Ch. 10.1 - consider the quantities 1, 1, x1, s1 2, 2, x2and,...Ch. 10.1 - Discuss the basic strategy for performing a...Ch. 10.1 - In each of Exercises 10.510.10, we have stated the...Ch. 10.1 - In each of Exercises 10.510.10, we have stated the...Ch. 10.1 - In each of Exercises 10.510.10, we have stated the...Ch. 10.1 - Prob. 8ECh. 10.1 - In each of Exercises 10.5-10.10, we have stated...Ch. 10.1 - In each of Exercises 10.510.10, we have stated the...
Ch. 10.1 - Prob. 11ECh. 10.1 - Identify the assumption for using the two-means...Ch. 10.1 - In each of Exercises 10.1310.18, we have presented...Ch. 10.1 - In each of Exercises 10.1310.18, we have presented...Ch. 10.1 - In each of Exercises 10.1310.18, we have presented...Ch. 10.1 - Prob. 16ECh. 10.1 - In each of Exercises 10.1310.18, we have presented...Ch. 10.1 - Prob. 18ECh. 10.1 - A variable of two populations has a mean of 40 and...Ch. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - Prob. 22ECh. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - In Exercises 10.2510.30, hypothesis tests are...Ch. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - In Exercises 10.2510.30, hypothesis tests are...Ch. 10.1 - Prob. 29ECh. 10.1 - In Exercises 10.2510.30, hypothesis tests are...Ch. 10.2 - Regarding the four conditions required for using...Ch. 10.2 - Explain why sp is called the pooled sample...Ch. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - Prob. 37ECh. 10.2 - In each of Exercises 10.3510.38, we have provided...Ch. 10.2 - Prob. 39ECh. 10.2 - In each of Exercises 10.3910.44, we have provided...Ch. 10.2 - Prob. 41ECh. 10.2 - Prob. 42ECh. 10.2 - Prob. 43ECh. 10.2 - Prob. 44ECh. 10.2 - Applying the Concepts and Skills Preliminary data...Ch. 10.2 - Prob. 46ECh. 10.2 - Fortified Juice and PTH. V. Tangpricha et al. did...Ch. 10.2 - Prob. 48ECh. 10.2 - Nigerian Spleen Length. O. Ehimwenma and M. Tagbo,...Ch. 10.2 - Recess and Wasted Food. E. Bergman et al....Ch. 10.2 - In Exercises 10.5110.56, apply Procedure 10.2 on...Ch. 10.2 - In Exercises 10.5110.56, apply Procedure 10.2 on...Ch. 10.2 - Prob. 53ECh. 10.2 - Prob. 54ECh. 10.2 - In Exercises 10.5110.56, apply Procedure 10.2 on...Ch. 10.2 - Prob. 56ECh. 10.2 - Prob. 57ECh. 10.2 - Children of Diabetic Mothers. The paper...Ch. 10.2 - A Better Golf Tee? An independent golf equipment...Ch. 10.2 - Extending the Concepts and Skills 10.60 In this...Ch. 10.2 - Prob. 61ECh. 10.2 - Prob. 63ECh. 10.2 - Prob. 64ECh. 10.2 - Prob. 65ECh. 10.3 - In each of Exercises 10.6710.70, suppose that you...Ch. 10.3 - In each of Exercises 10.6710.70, suppose that you...Ch. 10.3 - Prob. 69ECh. 10.3 - In each of Exercises 10.6710.70, suppose that you...Ch. 10.3 - Each pair of graphs in Fig. 10.8 shows the...Ch. 10.3 - Prob. 72ECh. 10.3 - In each of Exercises 10.7310.78, we have provided...Ch. 10.3 - In each of Exercises 10.7310.78, we have provided...Ch. 10.3 - In each of Exercises 10.7310.78, we have provided...Ch. 10.3 - In each of Exercises 10.7310.78, we have provided...Ch. 10.3 - Prob. 77ECh. 10.3 - In each of Exercises 10.7310.78, we have provided...Ch. 10.3 - Political Prisoners. According to the American...Ch. 10.3 - Phyllodes Tumors. Phyllodes tumors of the breast...Ch. 10.3 - Acute Postoperative Days. Refer to Example 10.6...Ch. 10.3 - Stressed-Out Bus Drivers. An intervention program...Ch. 10.3 - Schizophrenia and Dopamine. Previous research has...Ch. 10.3 - Wing Length. D. Cristol et al. published results...Ch. 10.3 - In Exercises 10.8510.90, apply Procedure 10.4 on...Ch. 10.3 - Prob. 86ECh. 10.3 - Prob. 87ECh. 10.3 - Prob. 88ECh. 10.3 - Prob. 89ECh. 10.3 - In Exercise 10.8510.90, apply Procedure 10.4 on...Ch. 10.3 - Prob. 91ECh. 10.3 - Prob. 92ECh. 10.3 - Prob. 93ECh. 10.3 - Prob. 94ECh. 10.3 - Neurosurgery Operative Times. In Example 10.6 on...Ch. 10.3 - Working with Large Data Sets 10.96 Treating...Ch. 10.3 - A Better Golf Tee? An independent golf equipment...Ch. 10.3 - Prob. 98ECh. 10.3 - Prob. 99ECh. 10.3 - Tukey's Quick Tost. In this exercise, we examine...Ch. 10.3 - Prob. 101ECh. 10.3 - Left-Tailed Hypothesis Tests and CIs. If the...Ch. 10.3 - Prob. 103ECh. 10.4 - Prob. 104ECh. 10.4 - Prob. 105ECh. 10.4 - Prob. 106ECh. 10.4 - Prob. 107ECh. 10.4 - Prob. 108ECh. 10.4 - Prob. 109ECh. 10.4 - Prob. 110ECh. 10.4 - Prob. 111ECh. 10.4 - Prob. 112ECh. 10.4 - Prob. 113ECh. 10.4 - Prob. 114ECh. 10.4 - Prob. 115ECh. 10.4 - Prob. 116ECh. 10.4 - Prob. 117ECh. 10.4 - Prob. 118ECh. 10.4 - Prob. 119ECh. 10.4 - Prob. 120ECh. 10.4 - Prob. 121ECh. 10.4 - Prob. 122ECh. 10.4 - Prob. 123ECh. 10.4 - Mandate Perceptions. L. Grossback et al. examined...Ch. 10.4 - Prob. 125ECh. 10.4 - Prob. 126ECh. 10.4 - Prob. 127ECh. 10.4 - SAT Essay Scores. The SAT is a standardized test...Ch. 10.4 - Prob. 129ECh. 10.4 - Prob. 130ECh. 10.4 - Prob. 131ECh. 10.4 - Working with Large Data Sets 10.132 Gender and...Ch. 10.4 - Prob. 133ECh. 10.4 - Teacher Salaries. The National Education...Ch. 10.4 - Prob. 135ECh. 10.4 - Prob. 136ECh. 10.4 - Prob. 138ECh. 10.5 - Slate one possible advantage of using paired...Ch. 10.5 - Prob. 140ECh. 10.5 - Prob. 141ECh. 10.5 - Prob. 142ECh. 10.5 - In Exercises 10.143-10.148, hypothesis tests...Ch. 10.5 - In Exercises 10.143-10.148, hypothesis tests...Ch. 10.5 - In Exercises 10.143-10.148, hypothesis tests...Ch. 10.5 - Prob. 146ECh. 10.5 - Prob. 147ECh. 10.5 - Prob. 148ECh. 10.5 - Prob. 149ECh. 10.5 - Prob. 150ECh. 10.5 - Prob. 151ECh. 10.5 - Prob. 152ECh. 10.5 - Prob. 153ECh. 10.5 - Prob. 154ECh. 10.5 - Applying the Concepts and Skills Preliminary data...Ch. 10.5 - Prob. 156ECh. 10.5 - Prob. 157ECh. 10.5 - Measuring Treadwear. R. Stichler et al. compared...Ch. 10.5 - Glaucoma and Corneal Thickness. Glaucoma is a...Ch. 10.5 - Cooling Down. Cooling down with a cold drink...Ch. 10.5 - Prob. 161ECh. 10.5 - Prob. 162ECh. 10.5 - Prob. 163ECh. 10.5 - Prob. 164ECh. 10.5 - Prob. 165ECh. 10.5 - In Exercise 10.161-10.166, apply Producer 10.7 on...Ch. 10.5 - Prob. 167ECh. 10.5 - Prob. 168ECh. 10.5 - Prob. 169ECh. 10.5 - Working with Large Data Sets 10. 170 Faculty...Ch. 10.5 - Prob. 171ECh. 10.5 - Storm Hydrology and Clear Cutting. In the document...Ch. 10.5 - Prob. 173ECh. 10.5 - Prob. 174ECh. 10.5 - Gasoline Additive. This exercise shows what can...Ch. 10.6 - Understanding the Concepts and Skills 10.177...Ch. 10.6 - A hypothesis test based on a simple random paired...Ch. 10.6 - Suppose that you want to perform a hypothesis test...Ch. 10.6 - Suppose that you want to perform a hypothesis test...Ch. 10.6 - Prob. 181ECh. 10.6 - Prob. 182ECh. 10.6 - Prob. 183ECh. 10.6 - Prob. 184ECh. 10.6 - Prob. 185ECh. 10.6 - Prob. 186ECh. 10.6 - Prob. 187ECh. 10.6 - Prob. 188ECh. 10.6 - Prob. 189ECh. 10.6 - Prob. 190ECh. 10.6 - Glaucoma and Corneal Thickness. Glaucoma is a...Ch. 10.6 - Cooling Down. Cooling down with a cold drink...Ch. 10.6 - Prob. 193ECh. 10.6 - Tobacco Mosaic Virus. To assess the effects of two...Ch. 10.6 - Prob. 195ECh. 10.6 - Prob. 196ECh. 10.6 - Prob. 197ECh. 10.6 - Prob. 198ECh. 10.6 - Prob. 199ECh. 10.6 - Prob. 200ECh. 10.6 - Prob. 201ECh. 10.6 - Prob. 202ECh. 10.6 - Prob. 203ECh. 10.6 - In Exercises 10.20310.208, do the following. a....Ch. 10.6 - Prob. 205ECh. 10.6 - Prob. 206ECh. 10.6 - In Exercises 10.20310.208, do the following. a....Ch. 10.6 - Prob. 208ECh. 10 - Understanding the Concepts and Skills 1. Discuss...Ch. 10 - Prob. 2RPCh. 10 - Regarding the pooled and nonpooled t-procedures,...Ch. 10 - Prob. 4RPCh. 10 - Suppose that independent simple random samples are...Ch. 10 - Prob. 6RPCh. 10 - Prob. 7RPCh. 10 - Prob. 8RPCh. 10 - Grip and Leg Strength. Refer to Problem 8....Ch. 10 - Cottonmouth Litter Size. In the article The...Ch. 10 - Prob. 11RPCh. 10 - Home Prices. The National Association of Realtors...Ch. 10 - Prob. 13RPCh. 10 - Prob. 14RPCh. 10 - Prob. 15RPCh. 10 - Working with Large Data Sets 16. Drink and Be...Ch. 10 - Prob. 17RPCh. 10 - Insulin and BMD. I. Erturul et al. conducted a...Ch. 10 - Prob. 19RPCh. 10 - Prob. 20RPCh. 10 - UWEC UNDERGRADUATES Recall from Chapter 1 (see...Ch. 10 - DEXAMETHASONE THERAPY AND IQ On page 439, we...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- The data sheet labeled rebound comes from a company which supplies a major automobile manufacturer with shock absorbers. A major quality characteristic of interest is the “force transferred through the shock absorber when the shank is forced out of the cylinder”. The exact technical definition of this test is not important for us. What we do need to understand is that the manufacturer only considers the shock to be an acceptable part if the force measurement is between 485 and 585.The shock manufacturer and the auto manufacturer are arguing over the following issue. Before the shock is finally shipped, it is filled with gas. After it is filled with gas it becomes very difficult to measure the force quantity we are interested in. The shock makers would like to make themeasurement before the shock is filled with gas. The auto maker is concerned that there may be a difference in the force before and after the shock is filled with gas and so would like to make the measurement after it is…arrow_forwardOne operation of a mill is to cut pieces of steel into parts that will later be used as the frame for front seats in an automobile. The steel is cut with a diamond saw and requires the resulting parts to be within 10.005 inch of the length specified by the automobile company. Data are collected from a sample of 50 steel parts and are shown in the following table. The measurement reported is the difference in inches between the actual length of the steel part, as measured by a laser measurement device, and the specified length of the steel part. For example, the first value, -0.003, represents a steel part that is 0.003 inch shorter than the specified length. Complete parts a through c Click the icon to view the data table. a. Construct a frequency distribution Difference in Length -0.005 but less than -0.003: -0.003but less than -0.001 -0.001but less than 0.001 0.001but less than 0.003 0.003but less than 0.005 Frequency Difference Between Actual and Specified Lengths 0.002 0 -0.003…arrow_forwardEverest auto industry produces bearing for Mahindra Motor Corporation. The precision of radius of bearing is very important for its successful functioning. To check the variability in the bearing radius, the company randomly selected ten bearings and measured the radius, the result of which is as shown in the table below. #no Nominal radius (cm) #no Nominal radius (cm) 1 2.70 6 2.59 2 2.65 7 2.73 3 2.75 8 2.64 4 2.55 9 2.88 5 2.76 10 2.83 Calculate the sample standard deviation for the above data. Construct a box plot and check whether there is any outlier data in the data distribution. Based on the comparison between the mean and the quartile, identify the shape of the data distribution. Calculate the 65th percentile and interpret the result. What is the range of the data distribution? Explain its meaning.arrow_forward
- An experiment was conducted to study the extrusion process of biodegradable packaging foam. Two of the factors considered for their effect on the foam diameter (mm) were the die temperature(145°C vs.155°C) and the die diameter (3 mm vs. 4 mm). The results are in the accompanying data table. The question are attached in a photoarrow_forwardAn ecologist hypothesizes that birds with longer wing spans use wider tree branches. The ecologist captured male birds, measured their wing span and other characteristics in millimeters, and then marked and released them. During the ensuing winter, the ecologist repeatedly observed the marked birds as they foraged for food on tree branches. He noted the branch diameter on each occasion, and calculated the average branch diameter for each bird in centimeters. The measurement data are below. What can the ecologist conclude with an α of 0.05 wing span branch diameter 79.380.180.781.579.580.781.180.580.7 1.561.531.391.041.391.021.211.311.21 A) What is the appropriate statistic? Then Compute the statistic B) Compute the appropriate test statistic(s) for H1: ρ > 0 critical value = test statistic= C) Effect Sizearrow_forwardA paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers. Amount by Which Speed Limit Was Exceeded Male Female Driver Driver 1.4 -0.3 1.2 0.6 0.9 1.1 2.1 0.7 0.7 1.1 1.3 1.2 3 0.1 1.3 0.9 0.6 0.5 2.1 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use umales - Hfemales: Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.) t = df = P = (b)…arrow_forward
- Calculate a. Pearson's the following1st measure of skewnessb.Interpret the results of your calculations in part a.arrow_forwardA paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers. Amount by Which Speed Limit Was Exceeded Male Female Driver Driver 1.4 -0.1 1.2 0.4 0.9 1.1 2.1 0.7 0.7 1.1 1.3 1.2 0.1 1.3 0.9 0.6 0.5 2.1 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use umales - Hiemales: Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.) t = 2.969 df = 18…arrow_forwardPrevious studies have shown that playing video games can increase visual perception abilities on tasks presented in the gaming zone of the screen (within 5 degrees of the center). A graduate student is interested in whether playing video games increases peripheral visual perception abilities or decreases attention to peripheral regions because of focus on the gaming zone. For her study, she selects a random sample of 64 adults. The subjects complete a difficult spatial perception task to determine baseline levels of their abilities. After playing an action video game (a first-person combat simulation) for 1 hour a day over 10 days, they complete the difficult perception task for a second time. Before playing the action video game, the mean score in their accuracy on the spatial task was 0.42. After playing the action video game, the mean score was -0.08. The mean of the differences between each person's pre- and postscores was 0.5, with a standard deviation of the differences equal to…arrow_forward
- Previous studies have shown that playing video games can increase visual perception abilities on tasks presented in the gaming zone of the screen (within 5 degrees of the center). A graduate student is interested in whether playing video games increases peripheral visual perception abilities or decreases attention to peripheral regions because of focus on the gaming zone. For her study, she selects a random sample of 64 adults. The subjects complete a difficult spatial perception task to determine baseline levels of their abilities. After playing an action video game (a first-person combat simulation) for 1 hour a day over 10 days, they complete the difficult perception task for a second time. Before playing the action video game, the mean Score in their accuracy on the spatial task was 0.42. After playing the action video game, the mean score was -0.08. The mean of the differences between each person's pre- and postscores was 0.5, with a standard deviation of the differences equal to…arrow_forwardPrevious studies have shown that playing video games can increase visual perception abilities on tasks presented in the gaming zone of the screen (within 5 degrees of the center). A graduate student is interested in whether playing video games increases peripheral visual perception abilities or decreases attention to peripheral regions because of focus on the gaming zone. For her study, she selects a random sample of 64 adults. The subjects complete a difficult spatial perception task to determine baseline levels of their abilities. After playing an action video game (a first-person combat simulation) for 1 hour a day over 10 days, they complete the difficult perception task for a second time. Before playing the action video game, the mean score in their accuracy on the spatial task was 0.42. After playing the action video game, the mean score was -0.08. The mean of the differences between each person's pre- and postscores was 0.5, with a standard deviation of the differences equal to…arrow_forwardPrevious studies have shown that playing video games can increase visual perception abilities on tasks presented in the gaming zone of the screen (within 5 degrees of the center). A graduate student is interested in whether playing video games increases peripheral visual perception abilities or decreases attention to peripheral regions because of focus on the gaming zone. For her study, she selects a random sample of 64 adults. The subjects complete a difficult spatial perception task to determine baseline levels of their abilities. After playing an action video game (a first-person combat simulation) for 1 hour a day over 10 days, they complete the difficult perception task for a second time. Before playing the action video game, the mean score in their accuracy on the spatial task was 0.42. After playing the action video game, the mean score was -0.08. The mean of the differences between each person's pre- and postscores was 0.5, with a standard deviation of the differences equal to…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY