Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
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Chapter 1, Problem 29SE
a.
To determine
Find the approximate fraction of the production of the machine that will fail to meet specifications.
b.
To determine
State the assumption regarding the diameter of the bearings that have been used in the previous part.
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Everest 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.
Background: Henry Cavendish carried out a series of experiments in 1798 to determine the mean density of the earth, as an indirect means to calculate the gravitational constant. A measurement of 5.5 indicates the earth's density is 5.5 times that of water.
1.Perform the significance test.
A.H0: μ=5.513Ha: μ>5.513
B.H0: μ=5.513Ha: μ<5.513
C.H0: μ=5.513Ha: μ≠5.513
D. H0: μ≠5.513Ha: μ=5.513
2.Compute the test statistic. Round your answer to 4 decimal places.
3.Compute the p-value. Round your answer to 4 decimal places.
Use Microsoft Excel to answer all the questions
The grams of solids removed from a material (y) is thought to be
related to the drying time. Ten observations obtained from an
experimental study follow:
x=(4.3 1.5 1.8 4.9 4.2 4.8 5.8 6.2 7.0 7.9)
Y=(2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0)
a) Construct a scatter diagram for the data. (b) Fit a simple linear
regression model
IF
Chapter 1 Solutions
Mathematical Statistics with Applications
Ch. 1.1 - For each of the following situations, identify the...Ch. 1.2 - Are some cities more windy than others? Does...Ch. 1.2 - Of great importance to residents of central...Ch. 1.2 - The top 40 stocks on the over-the-counter (OTC)...Ch. 1.2 - Given here is the relative frequency histogram...Ch. 1.2 - The relative frequency histogram given next was...Ch. 1.2 - The self-reported heights of 105 students in a...Ch. 1.2 - An article in Archaeometry presented an analysis...Ch. 1.3 - Resting breathing rates for college-age students...Ch. 1.3 - It has been projected that the average and...
Ch. 1.3 - The following results on summations will help us...Ch. 1.3 - Prob. 12ECh. 1.3 - Prob. 13ECh. 1.3 - Refer to Exercise 1.3 and repeat parts (a) and (b)...Ch. 1.3 - Refer to Exercise 1.4 and repeat parts (a) and (b)...Ch. 1.3 - Prob. 16ECh. 1.3 - Prob. 17ECh. 1.3 - Prob. 18ECh. 1.3 - Prob. 19ECh. 1.3 - Prob. 20ECh. 1.3 - The manufacturer of a new food additive for beef...Ch. 1 - Prove that the sum of the deviations of a set of...Ch. 1 - The mean duration of television commercials is 75...Ch. 1 - Aqua running has been suggested as a method of...Ch. 1 - The following data give the lengths of time to...Ch. 1 - Prob. 26SECh. 1 - Prob. 27SECh. 1 - The discharge of suspended solids from a phosphate...Ch. 1 - Prob. 29SECh. 1 - Compared to their stay-at-home peers, women...Ch. 1 - Prob. 31SECh. 1 - Prob. 32SECh. 1 - Prob. 33SECh. 1 - Prob. 34SECh. 1 - Prob. 35SECh. 1 - Prob. 36SECh. 1 - Prob. 37SECh. 1 - Prob. 38SE
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