A hardware store is considering restructuring their shelving and the proposed plan will only have space for 162 propane tanks to be on display each day. Assume that the hardware store does not have worker capacity to restock shelves during a day, but will always restock up to the capacity for the start of the business day. In a random sample of 32 days, the mean number of tanks sold is 150.8 and the standard deviation is 50.3. The company drafting the plans claims that the hardware store has enough shelving to satisfy all daily demand for propane tanks. We will conduct a statistical test to evaluate this claim.

III-un- a b C d E f Irv urn-nun". uuw unnum- . Formulate the null hypothesis (in words) to evaluate this claim. . Formulate the alternative hypothesis (in words) to evaluate this claim. . What is no in the statistical test? . What is the population parameter that the statistical test is concerned with? . Which sample statistic can be used to estimate the population parameter that the statistical tests is testing? . What values of :5 would lead you to reject the null hypothesis at a condence level of 90%? Calculate this based on the t-test and z-test. . What values of i would lead you to reject the null hypothesis at a condence level of 95%? Calculate this based on the t-test and z-test. . What values of 5 would lead you to reject the null hypothesis at a condence level of 99%? Calculate this based on the t-test and z-test. . Suppose we transform 5: into the test statistic T = 3%. What values of T would lead you to reject the null hypothesis at a condence level of 90%? Calculate this based on the ttest and z-test. . Suppose we transform it into the test statistic T = 3%. What values of T would lead you to reject the null hypothesis at a condence level of 95%? Calculate this based on the ttest and z-test. . Suppose we transform 5: into the test statistic T = 35511.\". What values of T would lead you to reject the null hypothesis at a condence level of 99%? Calculate this based on the Heat and z-test. . What is the p-value of this test? Calculate it based on :T: and also based on the transformed statistic, using both the t and normal distributions. . What is the minimum condence level for which you would reject the null hypothesis? Answer this using the p-values for both the t and normal distribution