Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 13.9, Problem 44E
a.
To determine
Explain the type of design used for the collection of data.
b.
To determine
Check whether there is sufficient evidence to indicate that the average insurance premium differs from company to company.
c.
To determine
Check whether there is sufficient evidence to indicate that insurance premiums differ from location to location.
d.
To determine
Compute the p-value for the test using the applet for Parts (b) and (c).
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
An experiment was conducted to assess the efficacy of spraying oats with Malathion (at 0.25 Ib/acre) to control the cereal leaf beetle. Two fields were used at each
of 10 farms in southwest Manitoba. One field at each farm was assigned at random to either the control group (no spray) or the treatment group (5pray), and the
second field was assigned to the other treatment. At the conclusion of the experiment, a plot on each farm was selected, the number of beetle larvae per square
foot was measured, and a one-tailed test of significance was performed to determine if Malathion reduced the average number of beetles. The results are given
below. Assurne conditions for the appropriate inference procedure have been met.
In
Control fields
6.20
1.30
Treatment fields
Control Field- Treatment Field (Pairs)
4.76
1.44
2.49
15
1.26
Which of the following is the appropriate test statistic and interval for the P-value?
Ot- 2.556; 0.025 0.05
Big sagebrush is often planted in range restoration projects. An experiment is performedto determine the effects of predefined levels of storage length and randomly selected levels of relativehumidity on the viability of seeds. Sixty-three batches of 300 seeds were obtained from the same supplier.Three batches were randomly assigned to each treatment combination of storage length (0, 60, 120, 180, 240,300, 360) and storage relative humidity (0%, 32%, 45%). After the storage time, the seeds are planted and thepercentage of seeds that sprout is recorded.1. Which statement is false?
a. There are 21 treatment combinations and triplicates (replicated thrice)
b. Experiment Design: 2 factorial design in CRD (completely randomized design)
2. Determine if fixed or random factors:
a. storage length
b. storage relative humidity
A market research group wants to find out which of two brands of shoes causes
blisters more often. They are considering three methods of gathering data:
Method A: Randomly choose 100 people. Ask them what shoes they typically wear
and how often they tend to get blisters.
Method B: Randomly choose 50 people to wear one brand of shoes and another 50
to wear the other brand. Compare the number of blisters that each group gets over
the course of a month.
Method C: Find a group of 50 people that own the first brand of shoes, and another
50 people that own the second brand. Monitor how many blisters each group gets.
Tell whether each method of gathering data is a survey, an observational study, or an
experiment. Which option would give the most reliable results?
Chapter 13 Solutions
Mathematical Statistics with Applications
Ch. 13.2 - The reaction times for two different stimuli in a...Ch. 13.2 - Prob. 2ECh. 13.4 - State the assumptions underlying the ANOVA of a...Ch. 13.4 - Prob. 4ECh. 13.4 - Prob. 5ECh. 13.4 - Suppose that independent samples of sizes n1, n2,,...Ch. 13.4 - Four chemical plants, producing the same products...Ch. 13.4 - Prob. 8ECh. 13.4 - Prob. 9ECh. 13.4 - A clinical psychologist wished to compare three...
Ch. 13.4 - It is believed that women in the postmenopausal...Ch. 13.4 - If vegetables intended for human consumption...Ch. 13.4 - One portion of the research described in a paper...Ch. 13.4 - The Florida Game and Fish Commission desires to...Ch. 13.4 - Prob. 15ECh. 13.4 - An experiment was conducted to examine the effect...Ch. 13.5 - Prob. 17ECh. 13.5 - Refer to Exercise 13.17 and consider YiYi for i ...Ch. 13.5 - Refer to the statistical model for the one-way...Ch. 13.7 - Refer to Examples 13.2 and 13.3. a Use the portion...Ch. 13.7 - Refer to Examples 13.2 and 13.4. a Use the portion...Ch. 13.7 - a Based on your answers to Exercises 13.20 and...Ch. 13.7 - Refer to Exercise 13.7. a Construct a 95%...Ch. 13.7 - Prob. 24ECh. 13.7 - Prob. 25ECh. 13.7 - Prob. 26ECh. 13.7 - Prob. 27ECh. 13.7 - Prob. 28ECh. 13.7 - Prob. 29ECh. 13.7 - Prob. 30ECh. 13.7 - Prob. 31ECh. 13.7 - Prob. 32ECh. 13.7 - Prob. 33ECh. 13.7 - Prob. 34ECh. 13.7 - Prob. 35ECh. 13.8 - Prob. 36ECh. 13.8 - Prob. 37ECh. 13.8 - Prob. 38ECh. 13.8 - Prob. 39ECh. 13.8 - Prob. 40ECh. 13.9 - Prob. 41ECh. 13.9 - The accompanying table presents data on yields...Ch. 13.9 - Refer to Exercise 13.42. Why was a randomized...Ch. 13.9 - Prob. 44ECh. 13.9 - Prob. 45ECh. 13.9 - Prob. 46ECh. 13.9 - Prob. 47ECh. 13.9 - Prob. 48ECh. 13.9 - Prob. 49ECh. 13.9 - Prob. 50ECh. 13.9 - Prob. 51ECh. 13.10 - Prob. 52ECh. 13.10 - Prob. 53ECh. 13.10 - Prob. 54ECh. 13.10 - Refer to Exercise 13.46. Construct a 95%...Ch. 13.10 - Prob. 56ECh. 13.10 - Prob. 57ECh. 13.11 - Prob. 58ECh. 13.11 - Prob. 59ECh. 13.11 - Prob. 60ECh. 13.11 - Prob. 61ECh. 13.11 - Prob. 62ECh. 13.12 - Prob. 63ECh. 13.12 - Prob. 64ECh. 13.12 - Prob. 65ECh. 13.12 - Prob. 66ECh. 13.12 - Prob. 67ECh. 13.12 - Prob. 68ECh. 13.13 - Prob. 69ECh. 13.13 - Prob. 70ECh. 13.13 - Refer to Exercise 13.42. Answer part (a) by...Ch. 13.13 - Refer to Exercise 13.45. Answer part (b) by...Ch. 13 - Prob. 73SECh. 13 - Prob. 74SECh. 13 - Prob. 75SECh. 13 - Prob. 77SECh. 13 - A study was initiated to investigate the effect of...Ch. 13 - Prob. 79SECh. 13 - A dealer has in stock three cars (models A, B, and...Ch. 13 - In the hope of attracting more riders, a city...Ch. 13 - Prob. 84SECh. 13 - Prob. 85SECh. 13 - Prob. 86SECh. 13 - Prob. 87SECh. 13 - Prob. 88SECh. 13 - Prob. 89SECh. 13 - Prob. 90SECh. 13 - Prob. 92SECh. 13 - Prob. 94SE
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
- Microhabitat factors associated with forage and bed sites of barking deer in Hainan Island, China were examined from 2001 to 2002. In this region, woods make up 4.8% of the land, cultivated grass plot makes up 14.7%, and deciduous forests makes up 39.6%. Of the 426 sites where the deer forage, 4 were categorized as woods, 16 as cultivated grassplot, and 61 as deciduous forests. The table below summarizes these data. Woods Cultivated grassplot Deciduous forests Other Total 4 16 61 345 426 a) Write the hypotheses for testing if barking deer prefer to forage in certain habitats over others. Ho: All habitats are equally prefered vs HA: Cultivated grassplot habitats are prefered over others Ho: All habitats are equally prefered vs HA: Wood habitats are prefered over others Họ : All habitats are equally prefered vs HA: Some habitats are prefered over others Ho: All habitats are equally prefered vs HA: Deciduous habitats are prefered over others b) What type of test can we use to answer this…arrow_forwardThe chemical benzene is highly toxic to humans. However, it is used in the manufacture of many medicine dyes, leather, and coverings. Government regulations dictate that for any production process involving benzene, the water in the output of the process must not exceed 7,950 parts per million (ppm) of benzene. For a particular process of concern, the water sample was collected by a manufacturer 25 times randomly and the sample average x was 7960 ppm. It is known from historical data that the standard deviation o is 100 ppm. (a) What is the probability that the sample average in this experiment would exceed the government limit if the population mean is equal to the limit? (b) Is an observed x = 7960 in this experiment a firm evidence that the population mean for the process exceeds the government limit? Assume that the distribution of benzene concentration is normal.arrow_forwardThe yields of a genetically modified wheat (in bushels per acre) were compared for five different varieties, A, B, C, D, and E, at six different locations. Each variety was randomly assigned to a plot at each location. The results of the experiment are shown below. Analyze the experiment using appropriate method. Location 1 2 VARIETY 35.3 31.0 32.7 36.8 37.2 33.1 30.7 32.2 32.4 31.7 35.0 32.7 C 38.2 33.4 33.6 37.1 37.3 38.2 D 34.9 36.1 35.2 38.3 40.2 36.0 32.4 28.9 29.2 30.7 33.9 32.1 45.) What is the value of MSTr? B.) 13.72 a.) 12.69 C.) 13.63 D.)35.67 46.) What is the degree of freedom of treatment? a.) 29 b.) 5 c.) 20 d.) 4 47.) The following are true about alternative hypothesis, except: a.) A hypothesis that the investigator is trying to reject b.) Investigator's hypothesis c.) There is a true relationship between variable d.) A hypothesis that the investigator is trying to prove 48.) Wilcoxon rank-sum test deals with related variable. True or false?arrow_forward
- An experiment was conducted to assess the efficacy of spraying oats with Malathion (at 0.25 lb/acre) to control the cereal leaf beetle. Twenty farms in southwest Manitoba were used for the study. Ten farms were assigned at random to the control group (no spray) and the other 10 fields were assigned to the treatment group (spray). At the conclusion of the experiment, the number of beetle larvae per square foot was measured at each farm, and a one-tailed test of significance was performed to determine if Malathion reduced the number of beetles. In which one of the following cases would a Type II error occur? (a) We do not conclude malathion is effective when in fact it was effective. (b) We conclude malathion is effective when in fact it is ineffective. (c) We conclude malathion is effective when in fact it is effective. (d) We do not conclude malathion is effective when in fact it is ineffective. (e) We conclude malathion is neither ineffective nor effective.arrow_forwardThe research and development (R&D) department of a paint manufacturer recently developed a new paint product. The developers are concerned the average area covered per gallon will be less for the new paint than for the existing product. To investigate this concern, the R&D department set up a test in which two random samples of paint were selected. The first sample consisted of 25 one-gallon containers of the company's existing product, and the second of 15 one-gallon containers of the new paint. The statistics shown were computed from eachsample and refer to the number of square feet that each gallon will cover. Based on the sample data, what should the developers conclude using a significance level of 0.05? Assume the populations are normally distributed with equal variances.Current Paint New Paint Current Paint New Paint x1 = Current Paint Column 423 sq. feet x2 = New Paint Column 418 sq feet s1 = 21.7 s2 =…arrow_forwardIn this study, the protection of aquatic ecosystems is an important goal of Ville de Montréal. In particular, Thomas wants to see whether the contamination of creeks (ruisseaux in French) by Escherichia coli differs among the months of May, June, July, and August. Therefore, he randomly samples six creeks in different areas. For each creek, he collects water samples from May to August, and measures the amount of E. coli, expressed in colony forming units (CFU) per 100 mL of water. For each combination of a month and a creek, he thus obtains an E. coli contamination value, i.e., 24 observations in total. A preliminary statistical analysis produces the following results. 13-a) Does the mean E. coli contamination differ significantly among the four months? Justify your answer to this question with the result of a statistical test. Use α = 0.05. 13-b) Which pairs of months show significant differences in mean E. coli contamination? Explain your reasoning and justify your answer…arrow_forward
- A virologist is interested in studying the effects of 2 preselected different culture media and 2 preselected different times on the growth of a particular virus. She performs a balanced design with 6 plates for each of the treatment combinations. The 24 measurements were taken in a completely randomized order. what would be: a. factors and factor levels: b. treatment combinations: c. experimental units: d. response variable: e. design structure:arrow_forwardA company produces treadmills for use in exercise clubs and recreation centers. The treadmill motors are purchased from an outside vendor. Currently, the company is considering which motor to include in its new treadmill series. Three potential suppliers have been identified. The company has decided to make its decision based on how long a motor operates at a high level of speed and incline before it fails. A random sample of 10 motors of each type is selected, and each motor is tested to determine how many minutes (rounded to the nearest minute) it operates before it needs to be repaired. Use the accompanying sample information for each motor to complete part a. E Click the icon to view the sample data. a. At the a = 0.01 level of significance, is there a difference in the average times before failure for the three different suppliers' motors? Identify the hypotheses for the test. Choose the correct answer below. O A. Ho: H1 =Hz = H3 Hạ: All of the population means are different O B.…arrow_forwardIn a certain study, the effect on oat yield was compared for the Pallinup, Overberg and Magnifico varieties of oats and four different concentrations of manure ( 2, 0.2, 0.4 and 0.6 tonnes per acre). Identify the experimental units, response variable, factor(s), levels of each factor and treatments.arrow_forward
- A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should be located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 130 people living in Gastown and finds that 25 have an annual income that is below the poverty line.arrow_forwardA company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance without blocking to test whether there is evidence of a significant difference in mean sales of different package designs. Use alpha = 0.01. the p-value associated with the observed test statistic? Please provide your answer to the nearest fou decimal places.arrow_forwardA company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance with blocking (analyze this data as a complete block design) to test further whether there is evidence of a significant difference in mean sales of different package designs. Use alpha=0.01. What are the sums of squares for Blocks? Provide your answer to the nearest 2 decimal places.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License