Null and Alternative Hypothesis for this Research - Marketing Assignment Help

ASSIGNMENT TASK:

TASK:

1. Waiting time for checkout line at two stores of a supermarket chain were measured for a random sample of customers at each store. The chain wants to use this data to test the research (alternative) hypothesis that the mean waiting time for checkout at Store 1 is lower than that of Store 2.

a. What are the null and alternative hypothesis for this research?
b. What are the sample mean waiting time for checkout line and the sample standard deviation for the two stores?
c. Compute the test statistic t used to test the hypothesis. Note that the population standard deviations are not known and therefore you cannot use the formula inSection 10.1. Use the one in Section 10.2 instead.
d. Compute the degree of freedom for the test statistic t.
e. Can the chain conclude that the mean waiting time for checkout at Store 1 is lower than that of Store 2? Use the critical-value approach and α = 0.05 to conduct the hypothesis test.
f. Construct a 95% confidence interval for the difference of mean waiting time forcheckout line at the two stores.

2.To compare prices of two grocery stores in Toronto, a random sample of items that are sold in both stores were selected and their price noted in the first weekend of July 2018:
 

a. What are the null and alternative hypothesis if we want to confirm that on average, prices at Store 1 is different from the prices at Store 2, that is, the difference is different from 0?
b. What are the sample mean difference in prices and the sample standard deviation?
c. Compute the test statistic t used to test the hypothesis.
d. Compute the degree of freedom for the test statistic t.
e. Can we conclude that on average, prices at Store 1 is different from the prices at Store 2? Use the critical-value approach and α = 0.05 to conduct the hypothesis test.
f. Use the above data to construct a 95% confidence interval for the difference in prices between the two stores.

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