You have measured the 35 apartments in your SRS and determined the average of them to be 1072 square feet. We know the standard deviation of the population of these 915 apartments to be 50 square feet. You must now determine if the tenants claim that the average size is 1100 square feet can be supported. a) Calculate the Z value for the test (2 decimal places) and determine the probability (p - value) that the test would yield a Z value as small or smaller than the calculated Z if the null hypothesis is true (4 decimal places). If we decide to test at a level of significance, α = 0.05 is there evidence to support the claim that the average apartment is less than 1100 square feet? b) Supposed to pursue legal action you must show that the apartments are less than advertised by 15 square feet, what is the power of the test? You will need to find δ and the corresponding z value for the level of significance for your test in part c. (3 decimal places)
You have measured the 35 apartments in your SRS and determined the average of them to be 1072 square feet. We know the standard deviation of the population of these 915 apartments to be 50 square feet. You must now determine if the tenants claim that the average size is 1100 square feet can be supported.
a) Calculate the Z value for the test (2 decimal places) and determine the probability (p - value) that the test would yield a Z value as small or smaller than the calculated Z if the null hypothesis is true (4 decimal places). If we decide to test at a level of significance, α = 0.05 is there evidence to support the claim that the average apartment is less than 1100 square feet?
b) Supposed to pursue legal action you must show that the apartments are less than advertised by 15 square feet, what is the power of the test? You will need to find δ and the corresponding z value for the level of significance for your test in part c. (3 decimal places)
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