Question

a sample of n = 15 individuals is selected from a population with a mean of 32. a treatment is administered to the individuals in the sample and, after treatment, the sample has a mean of x = 35 and ss = 154. perform a hypothesis test to decide whether the population mean of the treatment group is significantly larger than the mean of the general population.

Answer 1

Solution :

= 32

=35

S =154

n = 15

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :    = 32

Ha : >32

Test statistic = t

= ( - ) / S / n

= (35 -32 ) / 154 / 15

= 0.075

Test statistic = t = 0.075

P-value = 0.4705