On the average a stayathome mom with a husband and two child

On the average, a stay-at-home mom with a husband and two children is estimated to work 55 hours or less per week on household-related activities.   The hours worked during a week for a sample of eight stay-at-home moms are 58, 52, 64, 63, 59, 62, 55.

a. Use =.05 to test Ho: u 55, Ha: u > 55. What is your conclusion about the mean number of hours worked per week?

Solution

Avverage number of hours (m)= 58+52+64+63+59+62+55=413/7 = 59
z= 59-55/(std.dev/ root(10)
z= 4*3.16/4.39
z= 2.88
So we will reject the hypothesis as z>1.96