Question

In: Statistics and Probability

Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...

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.

−0.30 −0.27 −0.34 −0.25 +0.31 −0.20 +0.36 +0.24 −0.19
−0.40 −0.49 −0.55 −0.55 −0.67 −0.03 −0.23 −0.54 +0.08


State the null hypothesis and the alternate hypothesis.

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.)

Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? Use the 0.02 significance level.

Estimate the p-value.

Solutions

Expert Solution

State the null hypothesis and the alternate hypothesis :

null hypothesis: μ = 0
Alternate Hypothesis: μ 0

decision rule for 0.02 significance level : reject Ho if t >2.567 or t<-2.567

value of the test statistic =-3.080

p value =0.007

reject Ho


Related Solutions

Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
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. Click here for the Excel Data File −0.43 −0.22 −0.42 −0.37 +0.27 −0.23 +0.32 +0.54 −0.19 −0.29 −0.34 −0.55 −0.44 −0.56 −0.05 −0.19 −0.24 +0.08 State the null hypothesis and the alternate hypothesis. State the decision rule for 0.01 significance level. (Negative amounts should...
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
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. Picture Click here for the Excel Data File −0.16 −0.15 −0.20 −0.17 +0.26 −0.19 +0.30 +0.43 −0.10 −0.31 −0.48 −0.44 −0.51 −0.67 −0.05 −0.24 −0.51 +0.05 A. State the null hypothesis and the alternate hypothesis. H0= (mean symbol) = H1= (mean symbol) = B....
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
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. Picture Click here for the Excel Data File –0.42 –0.17 –0.11 –0.28 +0.33 –0.25 +0.34 +0.25 –0.08 –0.32 –0.54 –0.44 –0.45 –0.64 –0.04 –0.26 –0.44 +0.09 a-1. Is it reasonable to conclude that the mean gain or loss in time for the watches is...
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
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. Picture Click here for the Excel Data File −0.16 −0.15 −0.20 −0.17 +0.26 −0.19 +0.30 +0.43 −0.10 −0.31 −0.48 −0.44 −0.51 −0.67 −0.05 −0.24 −0.51 +0.05 State the null hypothesis and the alternate hypothesis. State the decision rule for 0.05 significance level. (Negative amounts...
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
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. −0.16 −0.15 −0.20 −0.17 +0.26 −0.19 +0.30 +0.43 −0.10 −0.31 −0.48 −0.44 −0.51 −0.67 −0.05 −0.24 −0.51 +0.05 State the null hypothesis and the alternate hypothesis State the decision rule for 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round...
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
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. Click here for the Excel Data File −0.16 −0.15 −0.20 −0.17 +0.26 −0.19 +0.30 +0.43 −0.10 −0.31 −0.48 −0.44 −0.51 −0.67 −0.05 −0.24 −0.51 +0.05 State the null hypothesis and the alternate hypothesis State the decision rule for 0.05 significance level. (Negative amounts should...
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
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:          −0.45 −0.19 −0.16 −0.20 +0.28 −0.24 +0.46 +0.26 −0.14 −0.37 −0.32 −0.50 −0.51 −0.62 −0.04 −0.19 −0.56 +0.04 State the null hypothesis and the alternate hypothesis. H0: ?= H1: ?= State the decision rule for 0.05 significance level. (Negative amounts should be indicated by...
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
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. Data File −0.29 −0.17 −0.41 −0.37 0.34 −0.23 0.3 0.23 −0.12 −0.33 −0.49 −0.50 −0.51 −0.64 −0.07 −0.23 −0.77 0.05 a)State the null hypothesis and the alternate hypothesis. State the decision rule for 0.02 significance level. (Negative amounts should be indicated by a minus...
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
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. Excel Data File watches -0.30 -0.27 -0.34 -0.25 0.31 -0.20 0.36 0.24 -0.19 -0.40 -0.49 -0.55 -0.55 -0.67 -0.03 -0.23 -0.54 0.08 –0.30 –0.27 –0.34 –0.25 +0.31 –0.20 +0.36 +0.24 –0.19 –0.40 –0.49 –0.55 –0.55 –0.67 –0.03 –0.23 –0.54 +0.08 a-1. Is it reasonable...
The Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose...
The 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. -0.14 -0.64 -0.86 -0.85 0.16 -0.34 0.23 0.35 -0.33 -0.17 -0.89 -0.73 -0.36 -0.13 -0.27 -0.72 -0.20 0.36 H0: μ = 0 H1: μ ≠ 0 Is it reasonable to conclude that the mean gain or loss in time for the watches is...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT