Question

The president of a university claims that the mean time spent partying by all students at this university is not more than 7 hours per week. A random sample of 40 students taken from this university showed that they spent an average of 9.50 hours partying the previous week with a standard deviation of 2.3 hours. Test at a significance level 0f 2.5 % whether the presiden

Answer 1

This is the right tailed test .

The null and alternative hypothesis is

H₀ : = 7

H_a : > 7

Test statistic = t

= ( - ) / s / n

= (9.50 - 7) / 2.3 / 40

= 6.875

Test statistic = 6.875

df = 39

P-value = 0.0000

= 0.025

P-value <

Reject the null hypothesis .