Suppose a computer company claims that its laptop batteries average more than 3.5 hours of use per charge. A sample of 45 batteries last an average of 3.72 hours. Assume the population standard deviation is 0.7 hours. (i) Test the company's claim at a=0.10 significance level by comparing the calculated z-score to the critical z-score. (ii) Test the company's claim at a=0.01 significance level by comparing the calculated z-score to the critical z-score. (iii) Verify your answer to problem (i) by comparing the sample mean to the critical sample mean Xe at an a=0.10 level of significance.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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1.6
PL
nE 3-5,
arch
(11) How many populations are compared in the ANOVA test.
(iii) Complete the ANOVA table.
Transcribed Image Text:1.6 PL nE 3-5, arch (11) How many populations are compared in the ANOVA test. (iii) Complete the ANOVA table.
QUESTION FIVE
A. Suppose a computer company claims that its laptop batteries average more than
3.5 hours of use per charge. A sample of 45 batteries last an average of 3.72
hours. Assume the population standard deviation is 0.7 hours.
(i) Test the company's claim at a=0.10 significance level by comparing the
calculated z-score to the critical z-score.
(ii) Test the company's ciaim at a=0.01 significance level by comparing the
calculated z-score to the critical z-score.
(iii) Verify your answer to problem (i) by comparing the sample mean to the
critical sample mean Xe at an a=0.10 level of significance.
(iv) Verify your answer to problem (i) by comparing the p-value to the level of
significance a=0.10.
B. The following table shows a partially completed ANOVA hypothesis test using a
completely randomized design.
Source of Variation
df
MS
F
Between samples
4
Within Samples
56.68
Total
72.11
24
(i) Determine the total number of observations in this ANOVA test.
Transcribed Image Text:QUESTION FIVE A. Suppose a computer company claims that its laptop batteries average more than 3.5 hours of use per charge. A sample of 45 batteries last an average of 3.72 hours. Assume the population standard deviation is 0.7 hours. (i) Test the company's claim at a=0.10 significance level by comparing the calculated z-score to the critical z-score. (ii) Test the company's ciaim at a=0.01 significance level by comparing the calculated z-score to the critical z-score. (iii) Verify your answer to problem (i) by comparing the sample mean to the critical sample mean Xe at an a=0.10 level of significance. (iv) Verify your answer to problem (i) by comparing the p-value to the level of significance a=0.10. B. The following table shows a partially completed ANOVA hypothesis test using a completely randomized design. Source of Variation df MS F Between samples 4 Within Samples 56.68 Total 72.11 24 (i) Determine the total number of observations in this ANOVA test.
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