Question

For a population being studied, the null hypothesis for the population mean is H subscript 0 colon mu equals 40 and an alternative hypothesis is H subscript 1 colon mu greater than 40. If a sample of size n equals 26 is randomly selected from the population and the sample mean is calculated to be x with bar on top equals 42.3 with standard deviation s equals 5.6, give the P-value for the right-tailed hypothesis test of mean.

Answer 1

Solution :

= 40

= 42.3

S = 5.6

n = 26

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :    = 40

Ha : > 40

Test statistic = t

= ( - ) / S /  n

= ( 42.3-40) / 5.6 / 26

= 2.094

Test statistic = t = 2.094

P-value =0.0233

answered by: anonymous