MYLAB STATISTICS: ELEMENTARY STATISTICS
7th Edition
ISBN: 9780135901021
Author: Larson
Publisher: PEARSON EDUCATION (COLLEGE)
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Textbook Question
Chapter 10.3, Problem 19E
Performing a Two-Sample F-Test In Exercises 19−26, (a) identify the claim and state H0, and Ha (b) find the critical value and identify the rejection region, (c) find the test statistic F, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent, and the populations are
19. Life of Appliances Company A claims that the variance of the lives of its appliances is less than the variance of the lives of Company B’s appliances. A sample of the lives of 20 of Company A’s appliances has a variance of 1.8. A sample of the lives of 25 of Company B’s appliances has a variance of 3.9. At α = 0.05, can you support Company A’s claim?
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Students have asked these similar questions
Microsoft Excel include formulas
Question 1
The data shown in Table 1 are and R values for 24 samples of size n = 5 taken from a process producing
bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals
recorded (i.e., 34.5 should be 0.50345).
Table 1: Bearing Diameter Data
Sample Number
I
R
Sample Number
I R
1
34.5
3
13
35.4
8
2
34.2
4
14
34.0
6
3
31.6
4
15
37.1
5
4
31.5
4
16
34.9
7
5
35.0
5
17
33.5
4
6
34.1
6
18
31.7
3
7
32.6
4
19
34.0
8
8
33.8
3
20
35.1
9
34.8
7
21
33.7
2
10
33.6
8
22
32.8
1
11
31.9
3
23
33.5
3
12
38.6 9
24
34.2
2
(a) Set up and R charts on this process. Does the process seem to be in statistical control? If necessary,
revise the trial control limits. [15 pts]
(b) If specifications on this diameter are 0.5030±0.0010, find the percentage of nonconforming bearings pro-
duced by this process. Assume that diameter is normally distributed. [10 pts]
1
4. (5 pts) Conduct a chi-square contingency test (test of independence) to assess whether
there is an association between the behavior of the elderly person (did not stop to talk,
did stop to talk) and their likelihood of falling. Below, please state your null and
alternative hypotheses, calculate your expected values and write them in the table,
compute the test statistic, test the null by comparing your test statistic to the critical
value in Table A (p. 713-714) of your textbook and/or estimating the P-value, and
provide your conclusions in written form. Make sure to show your work.
Did not stop walking to talk
Stopped walking to talk
Suffered a fall
12
11
Totals
23
Did not suffer a fall | 2
Totals
35
37
14
46
60
T
Chapter 10 Solutions
MYLAB STATISTICS: ELEMENTARY STATISTICS
Ch. 10.1 - The tax preparation company in Example 1 decides...Ch. 10.1 - Prob. 2TYCh. 10.1 - Prob. 3TYCh. 10.1 - What is a multinomial experiment?Ch. 10.1 - What conditions are necessary to use the...Ch. 10.1 - Finding Expected Frequencies In Exercises 36, find...Ch. 10.1 - Finding Expected Frequencies In Exercises 36, find...Ch. 10.1 - Finding Expected Frequencies In Exercises 36, find...Ch. 10.1 - Finding Expected Frequencies In Exercises 36, find...Ch. 10.1 - Using and Interpreting Concepts Performing a...
Ch. 10.1 - Coffee A researcher claims that the numbers of...Ch. 10.1 - Performing a Chi-Square Goodness-of-Fit Test In...Ch. 10.1 - Performing a Chi-Square Goodness-of-Fit Test In...Ch. 10.1 - Performing a Chi-Square Goodness-of-Fit Test In...Ch. 10.1 - Performing a Chi-Square Goodness-of-Fit Test In...Ch. 10.1 - Performing a Chi-Square Goodness-of-Fit Test In...Ch. 10.1 - Performing a Chi-Square Goodness-of-Fit Test In...Ch. 10.1 - Performing a Chi-Square Goodness-of-Fit Test In...Ch. 10.1 - Performing a Chi-Square Goodness-of-Fit Test In...Ch. 10.1 - In Exercises 17 and 18, (a) find the expected...Ch. 10.1 - In Exercises 17 and 18, (a) find the expected...Ch. 10.2 - The marketing consultant for a travel agency wants...Ch. 10.2 - Prob. 2TYCh. 10.2 - Prob. 3TYCh. 10.2 - Prob. 1ECh. 10.2 - Explain the difference between marginal...Ch. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - True or False? In Exercises 5 and 6, determine...Ch. 10.2 - Finding Expected Frequencies In Exercises 712, (a)...Ch. 10.2 - Finding Expected Frequencies In Exercises 712, (a)...Ch. 10.2 - Prob. 9ECh. 10.2 - Prob. 10ECh. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - Performing a Chi-Square Independence Test In...Ch. 10.2 - Prob. 14ECh. 10.2 - Performing a Chi-Square Independence Test In...Ch. 10.2 - Performing a Chi-Square Independence Test In...Ch. 10.2 - Performing a Chi-Square Independence Test In...Ch. 10.2 - Performing a Chi-Square Independence Test In...Ch. 10.2 - Prob. 19ECh. 10.2 - Performing a Chi-Square Independence Test In...Ch. 10.2 - Prob. 21ECh. 10.2 - Performing a Chi-Square Independence Test In...Ch. 10.2 - Performing a Chi-Square Independence Test In...Ch. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - Prob. 28ECh. 10.2 - Motor Vehicle Crash Deaths The contingency table...Ch. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 - Prob. 33ECh. 10.2 - Prob. 34ECh. 10.2 - Prob. 35ECh. 10.2 - Contingency Tables and Relative Frequencies In...Ch. 10.2 - Prob. 37ECh. 10.2 - Prob. 38ECh. 10.2 - Prob. 39ECh. 10.2 - Conditional Relative Frequencies In Exercises...Ch. 10.2 - Conditional Relative Frequencies In Exercises...Ch. 10.2 - Prob. 42ECh. 10.2 - In your opinion, how safe is the food you buy? CBS...Ch. 10.2 - In your opinion, how safe is the food you buy? CBS...Ch. 10.2 - In your opinion, how safe is the food you buy? CBS...Ch. 10.2 - In your opinion, how safe is the food you buy? CBS...Ch. 10.2 - In your opinion, how safe is the food you buy? CBS...Ch. 10.2 - In your opinion, how safe is the food you buy? CBS...Ch. 10.3 - Find the critical F-value for a right-tailed test...Ch. 10.3 - Prob. 2TYCh. 10.3 - Prob. 3TYCh. 10.3 - Prob. 4TYCh. 10.3 - Explain how to find the critical value for an...Ch. 10.3 - List five properties of the F-distribution.Ch. 10.3 - List the three conditions that must be met in...Ch. 10.3 - Explain how to determine the values of d.f.N and...Ch. 10.3 - Prob. 5ECh. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - Finding a Critical F-Value for a Right-Tailed Test...Ch. 10.3 - Prob. 9ECh. 10.3 - Finding a Critical F-Value for a Right-Tailed Test...Ch. 10.3 - Finding a Critical F-Value for a Right-Tailed Test...Ch. 10.3 - Finding a Critical F-Value for a Right-Tailed Test...Ch. 10.3 - In Exercises 1318, test the claim about the...Ch. 10.3 - In Exercises 1318, test the claim about the...Ch. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - Prob. 17ECh. 10.3 - In Exercises 1318, test the claim about the...Ch. 10.3 - Performing a Two-Sample F-Test In Exercises 1926,...Ch. 10.3 - Prob. 20ECh. 10.3 - Performing a Two-Sample F-Test In Exercises 1926,...Ch. 10.3 - Performing a Two-Sample F-Test In Exercises 1926,...Ch. 10.3 - Performing a Two-Sample F-Test In Exercises 1926,...Ch. 10.3 - Prob. 24ECh. 10.3 - Prob. 25ECh. 10.3 - Performing a Two-Sample F-Test In Exercises 1926,...Ch. 10.3 - Prob. 27ECh. 10.3 - In Exercises 27 and 28, find the right- and...Ch. 10.3 - In Exercises 29 and 30, construct the confidence...Ch. 10.3 - In Exercises 29 and 30, construct the confidence...Ch. 10.4 - A sales analyst wants to determine whether there...Ch. 10.4 - Prob. 2TYCh. 10.4 - Slate the null and alternative hypotheses for a...Ch. 10.4 - What conditions are necessary in order to use a...Ch. 10.4 - Describe the difference between the variance...Ch. 10.4 - Prob. 4ECh. 10.4 - Performing a One-Way ANOVA Test In Exercises 514,...Ch. 10.4 - Performing a One-Way ANOVA Test In Exercises 514,...Ch. 10.4 - Performing a One-Way ANOVA Test In Exercises 514,...Ch. 10.4 - Prob. 8ECh. 10.4 - Prob. 9ECh. 10.4 - Performing a One-Way ANOVA Test In Exercises 514,...Ch. 10.4 - Performing a One-Way ANOVA Test In Exercises 514,...Ch. 10.4 - Prob. 12ECh. 10.4 - Performing a One-Way ANOVA Test In Exercises 514,...Ch. 10.4 - Performing a One-Way ANOVA Test In Exercises 514,...Ch. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - Prob. 17ECh. 10.4 - Prob. 18ECh. 10.4 - The Scheff Test If the null hypothesis is rejected...Ch. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10 - In Exercises 14. (a) identify the claim and state...Ch. 10 - In Exercises 14. (a) identify the claim and state...Ch. 10 - In Exercises 14, (a) identify the claim and state...Ch. 10 - Prob. 10.1.4RECh. 10 - Prob. 10.2.5RECh. 10 - In Exercises 58, (a) find the expected frequency...Ch. 10 - In Exercises 58, (a) find the expected frequency...Ch. 10 - In Exercises 58, (a) find the expected frequency...Ch. 10 - Prob. 10.3.9RECh. 10 - Prob. 10.3.10RECh. 10 - Prob. 10.3.11RECh. 10 - Prob. 10.3.12RECh. 10 - Prob. 10.3.13RECh. 10 - Prob. 10.3.14RECh. 10 - Prob. 10.3.15RECh. 10 - Prob. 10.3.16RECh. 10 - Prob. 10.3.17RECh. 10 - Prob. 10.3.18RECh. 10 - Prob. 10.3.19RECh. 10 - Prob. 10.3.20RECh. 10 - Prob. 10.4.21RECh. 10 - In Exercises 21 and 22, (a) identify the claim and...Ch. 10 - Prob. 1CQCh. 10 - Prob. 2CQCh. 10 - Take this quiz as you would take a quiz in class....Ch. 10 - Prob. 4CQCh. 10 - In each exercise, (a) identify the claim and state...Ch. 10 - Prob. 2CTCh. 10 - In each exercise, (a) identify the claim and state...Ch. 10 - Prob. 4CTCh. 10 - Prob. 5CTCh. 10 - Prob. 6CTCh. 10 - Goodness-of-Fit The table at the right shows an...Ch. 10 - Independence The contingency table below shows the...Ch. 10 - Prob. 1TCh. 10 - Prob. 2TCh. 10 - Prob. 3TCh. 10 - Teacher Salaries The Illinois State Board of...Ch. 10 - Repeat Exercises 14 using the data in the table...Ch. 10 - The table below shows the winning times (in...Ch. 10 - Prob. 2CRCh. 10 - The equation used to predict the annual sweet...Ch. 10 - Prob. 4CRCh. 10 - Prob. 5CRCh. 10 - Reviewing a Movie The contingency table shows how...Ch. 10 - Prob. 7CR
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