Question

A standardized test for high school students is given to a random sample of 16 students. The average time required to finish the test for the students in the sample is recorded as 48 minutes with a standard deviation of 6 minutes. We want to evaluate the null hypothesis that the time required to finish the test for the whole population of high school students is at most 45 minutes on average.

Answer 1

Solution :

= 45

=48

S =6

n = 16

This is the left tailed test .

The null and alternative hypothesis is ,

H0 :    = 45

Ha : < 45

Test statistic = t

= ( - ) / S / n

= (48 - 45 ) / 6 / 16

= 2

Test statistic = t =  2

P-value =0.9680