You have measured the 36 apartments in your SRS and determined the average of them to be 1085.7 square feet. We know the standard deviation of the population of these 915apartments to be 40 square feet. You must now determine if the tenants claim that the average size is less than 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). b) 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? c) 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) f) Given what you have learned in this stud
Please if possible, handwrite it so that I can proberly follow the steps. For part C, kindly help explain. I want to undertstand the steps in solving that part well. Thanks a lot!
You have measured the 36 apartments in your SRS and determined the average of them to be 1085.7 square feet. We know the standard deviation of the population of these 915apartments to be 40 square feet. You must now determine if the tenants claim that the average size is less than 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).
b) 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?
c) 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)
f) Given what you have learned in this study what is your recommendation to the tenant group?
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