Question

A study is performed in San Antonio to determine whether the average weekly grocery bill per five-person family in the town is significantly different from the national average ($129). A random sample of 25 five-person families in San Antonio showed a mean of $133.47 and a standard deviation of $11.19. If you performed an analysis on the same data as the previous question (provided above for your recollection) and ran a right sided t-test with a=0.05, would your decision be different? To answer this question, please complete the following grid (you can copy and paste it into Blackboard). Null and Alternative Hypothesis (i.e. Ho: _, Ha: ) Critical value (3 decimal points) Test statistic (3 decimal points) [show equation and answer]. How does this value differ from the test statistic computed in Question 17? p-value for the test statistic (3 decimal points). How does this value differ from the p-value in Question 17? Decision (reject Ho in favor of Ha, fail to reject Ho) Describe your decision in words (i.e. what would you report back to your key stakeholders about your findings. At what numerical values of the hypothesized mean $\mu_0$ can you reject Ho in favor of Ha? Please explain why your decision was the same or different than the decision made in question 17 (i.e. how does the right sided test differ from the 2-sided test previously performed). Be specific in your answer using the details of this problem.

          A study is performed in San Antonio to determine whether the average weekly grocery bill per five-person family in the town is significantly different from the national average
($129). A random sample of 25 five-person families in San Antonio showed a mean of $133.47 and a standard deviation of $11.19.
If you performed an analysis on the same data as the previous question (provided above for your recollection) and ran a right sided t-test with a=0.05, would your
decision be different?
To answer this question, please complete the following grid (you can copy and paste it into Blackboard).
Null and Alternative Hypothesis (i.e. Ho: _____, Ha: ____)
Critical value (3 decimal points)
Test statistic (3 decimal points) [show equation and answer]. How does this value
differ from the test statistic computed in Question 17?
p-value for the test statistic (3 decimal points). How does this value differ from the
p-value in Question 17?
Decision (reject Ho in favor of Ha, fail to reject Ho)
Describe your decision in words (i.e. what would you report back to your key
stakeholders about your findings.
At what numerical values of the hypothesized mean $\mu_0$ can you reject Ho in
favor of Ha?
Please explain why your decision was the same or different than the decision
made in question 17 (i.e. how does the right sided test differ from the 2-sided test
previously performed). Be specific in your answer using the details of this
problem.

A study is performed in San Antonio to determine whether the average weekly grocery bill per five-person family in the town is significantly different from the national average
(129). A random sample of 25 five-person families in San Antonio showed a mean of133.47 and a standard deviation of 11.19.
If you performed an analysis on the same data as the previous question (provided above for your recollection) and ran a right sided t-test with a=0.05, would your
decision be different?
To answer this question, please complete the following grid (you can copy and paste it into Blackboard).
Null and Alternative Hypothesis (i.e. Ho: , Ha: )
Critical value (3 decimal points)
Test statistic (3 decimal points) [show equation and answer]. How does this value
differ from the test statistic computed in Question 17?
p-value for the test statistic (3 decimal points). How does this value differ from the
p-value in Question 17?
Decision (reject Ho in favor of Ha, fail to reject Ho)
Describe your decision in words (i.e. what would you report back to your key
stakeholders about your findings.
At what numerical values of the hypothesized meanμ0can you reject Ho in
favor of Ha?
Please explain why your decision was the same or different than the decision
made in question 17 (i.e. how does the right sided test differ from the 2-sided test
previously performed). Be specific in your answer using the details of this
problem.

Added by Patrick S.

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