Question

A certain academic program claims that their students graduate in less than 4 years on average. A random sample of 50 students is taken and the mean and standard deviation are found. The test statistic is calculated to be -1.69. Using a 5% significance level, the conclusion would be_____.

Answer 1

There is sufficient evidence to support the claim

Explanation:

Claim : A certain academic program claims that their students graduate in less than 4 years on average

`H_0:\mu \geq 4\\H_a:\mu<4`

So. it is right tailed test

The test statistic is calculated to be -1.69.

Z statistic = -1.69

Refer the z table for p value

p value = 0.0455

Significance level = 5%

α=0.05

p value < α

So, we failed to accept null hypothesis

So, There is sufficient evidence to support the claim