Question

A.) Now the population is all senior living facilities in the United States. It is conjectured that the mean number of positive COVID-19 cases per 100 residents is 40, and of interest is to test the conjecture versus the alternative that the mean number of positive COVID-19 cases per 100 residents is different from 40. State the appropriate null and alternative hypotheses that should be tested.

B.) Consider the information and hypotheses specified in the above part a.. A simple random sample of 61 senior living facilities in the USA was selected and the mean number if positive COVID19 cases per 100 residents was recorded for each. The mean number of positive COVID19 cases per 100 residents in this sample of 61 senior living facilities was 43.2, with a standard deviation of 8.7. If appropriate, use the information to test the hypotheses stated in the above part (a.) at the a=0.05 level of significance.

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