Question

Test the claim that the population of sophomore college students has a mean grade point average of 2.24versus a mean grade point average greater than 2.24. Sample statistics include n=23, x⎯⎯⎯=2.4, and s=0.6. Use a significance level of α=0.01.

The test statistic is  
The critical value is​

Answer 1

Solution :

This i sthe right tailed test .

The null and alternative hypothesis is ,

H₀ :   2.24

H_a : > 2.24

Given that,

= 2.4

= 2.24

s = 0.6

n = 23

Test statistic = t = ( - ) / s / n

= (2.4 - 2.24) / 0.6 / 23 = 1.28

Test statistic = 1.28

= 0.01

Z = Z_0.01 = 2.33

The critical value = 2.33