Question

Ho: M= 9

Ha: M > 9

Data: 9, 4 , 5 , 6 , 12, 23, 18, 19, 10, 12, 6, 11, 8, 4, 5, 7, 7, 8, 13, 14, 15, 3, 1, 0, 17, 5

Answer 1

H0: M=9

Ha: M >9

Since n <30, we will use a one tailed t -test to test the hypothesis.

The test statistic is given by

is the sample mean

s is the samlpe standard deviation

n is the sample size

  

= 9.31

= 5.82

Using the above values, test statistic t is

t = 0.27

We use the t table to find the t critical value.

Assuming a signifcance level of 5% with df = n -1 = 26-1=25 and one tailed test,

p -value ~ 0.6

Since p-value > 0.05 , we cannot reject the null hypothesis.