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.

 

  • (Negative amounts should be indicated by a minus sign)
  • (Round your answers to 3 decimal places)

 

 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

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
Transcribed Image Text: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
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