1.A supplier contract with a manufacturer requires that component returns be tra
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Question
1.A supplier contract with a manufacturer requires that component returns be transacted in the ERP system within 2 hours. An analyst at the manufacturer thinks that the supplier is no longer meeting the contract requirements. The analyst has collected a sample of 25 transactions with a mean of 2.1 hours. The standard deviation is 0.3. Complete the hypothesis test using an alpha of 0.03 and select the best statement of the conclusion supported by the results of your hypothesis testing analysis.
e.Reject the null hypothesis.
2. A manufacturer claims that the mean lifetime of their battery is 1535 hours or more. The standard deviation is 184 hours. A sample of 50 batteries were tested and found to have a mean of 1477 hours. Determine the value of the test statistic and include 2 decimal places in your answer.
3. Determine the value of Z/2 in a two tailed tail hypothesis test given an alpha of 0.06.
a. Reject the null hypothesis and conclude that the alternative hypothesis is likely true.Explanation / Answer
State hypotheses:
H0: mu=2 hours (supplier is meeting contract requirements)
H1: mu not equal to 2 (supplier is not meeting contract requirements)
The sample size is small (n<30) and population standard deviation is unknown, perform 1 sample t test.
t=(Xbar-mu)/(s/sqrt n-1)=(2.1-2)/(0.3/sqrt 25)=1.67
The p value corresponding to 1.67 is 0.1079. The p value is not less than 0.03. Fail to reject null hypothesis. Ans: Option b.
The test statistic is as follows:
z=(Xbar-mu)/(sigma/sqrt n)=(1477-1535)/(184/sqrt 50)=-2.23
p value is 0.0255. The p value is less than alpha=0.06, therefore, reject null hypothesis to conclude the claim of manufacturer to be right.
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