A real estate company is interested in testing whether the mean time that families in Gotham have been living in their current homes is less than families in Metropolis. Assume that the two population variances are equal. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes.

Gotham: XG = 35 months, SG2 = 900 Metropolis: XM= 50 months, SM2 = 105

Q1: Referring to Scenario 10-3, suppose ΅ = 0.10. Which of the following represents the result of the relevant hypothesis test?

A) The null hypothesis is rejected.
B)The alternative hypothesis is rejected.
C) The null hypothesis is not rejected.
D) Insufficient information exists on which to make a decision.

Q2: Referring to Scenario 10-3, suppose a = 0.10. Which of the following represents the correct conclusion?

A) There is not enough evidence that the mean amount of time families in Gotham have been living in their current homes is not less than families in Metropolis.

B)There is enough evidence that the mean amount of time families in Gotham have been living in their current homes is less than families in Metropolis.

C) There is not enough evidence that the mean amount of time families in Gotham have been living in their current homes is less than families in Metropolis.

D) There is enough evidence that the mean amount of time families in Gotham have been living in their current homes is not less than families in Metropolis.

Q3:Referring to Scenario 10-3, suppose ΅ = 0.01. Which of the following represents the correct conclusion?

A) There is not enough evidence that the mean amount of time families in Gotham have been living in their current homes is not less than families in Metropolis.

B)There is enough evidence that the mean amount of time families in Gotham have been living in their current homes is not less than families in Metropolis.

C) There is enough evidence that the mean amount of time families in Gotham have been living in their current homes is less than families in Metropolis.

D) There is not enough evidence that the mean amount of time families in Gotham have been living in their current homes is less than families in Metropolis.