In: Statistics and Probability
The Bear Contractors Association claims the average price ( μ ) of a home in their subdivision is $175,500.The alernative hypothesis to test the claim is H 1 : μ ≠175,500 . A sample of 36 homes for sale in this subdivision had an average selling price of $183,550 with a sample standard deviation of $12,350. Calculate the test statistic.
Solution :
= 175500
=183550
S =183550
n = 36
This is the two tailed test .
The null and alternative hypothesis is ,
H0 : = 175500
Ha : 175,500
Test statistic = t
= ( - ) / S / n
= (183550-175500) / 12,350 / 36
= 3.911
Test statistic = t = 3.911