Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time during a week. A sample of 18 watches provided the following gains (+) or losses (-) in seconds per week. Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? 0.10 0.40 0.40 -0.32 0.20 -0.23 0.10 0.25 -0.10 -0.37 -0.61 0.00 -0.10 -0.64 0.00 -0.40 -0.68 -0.40 (a) State the decision rule for 0.02 significance level. • (Negative amounts should be indicated by a minus sign) • (Round your answers to 3 decimal places) Reject H,: p = 0 if t< or t> (b) Compute the Value of the test statistic. • (Negative amount should be indicated by a minus sign) • (Round your answer to 2 decimal places) Test Statistic t= (c) What is your decision regarding the null hypothesis? Therefore the evidence supports the claim that
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time during a week. A sample of 18 watches provided the following gains (+) or losses (-) in seconds per week. Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? 0.10 0.40 0.40 -0.32 0.20 -0.23 0.10 0.25 -0.10 -0.37 -0.61 0.00 -0.10 -0.64 0.00 -0.40 -0.68 -0.40 (a) State the decision rule for 0.02 significance level. • (Negative amounts should be indicated by a minus sign) • (Round your answers to 3 decimal places) Reject H,: p = 0 if t< or t> (b) Compute the Value of the test statistic. • (Negative amount should be indicated by a minus sign) • (Round your answer to 2 decimal places) Test Statistic t= (c) What is your decision regarding the null hypothesis? Therefore the evidence supports the claim that
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time during a week. A sample of 18 watches provided the following gains (+) or losses (-) in seconds per week. Is it reasonable to conclude that the mean gain or loss in time for the watches is 0?
0.10 | 0.40 | 0.40 | -0.32 | 0.20 | -0.23 | 0.10 | 0.25 | -0.10 |
-0.37 | -0.61 | 0.00 | -0.10 | -0.64 | 0.00 | -0.40 | -0.68 | -0.40 |
(a) |
State the decision rule for 0.02 significance level.
|
Reject H0: μ = 0 if t < Answer or t > Answer
(b) Compute the Value of the test statistic.
- (Negative amount should be indicated by a minus sign)
- (Round your answer to 2 decimal places)
Test Statistic t= Answer
(c) What is your decision regarding the null hypothesis?
AnswerCannot Reject HoReject Ho
Therefore the evidence supports the claim that AnswerH0: μ = 0H0: μ ≠ 0
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