Question

Dr. Pepper recently informed her 3010 students that she will not be teaching 3020 in the Fall. Because of this, she predicts that his students will be more depressed than the population of psychology students (µ = 100;  = 10). She gathered data from a sample of students (n=30), obtaining a sample mean of 103.5. Please follow the 4 steps of hypothesis testing for a Z test.

Answer 1

Step 1

The null and alternative hypothesis

100

> 100

Step 2

Test statistic

= 1.92

Step 3

P value = P( z > 1.92) = 0.0274

Note :This is one tailed test (right tailed)

We can find from z table , P(z > 1.92) =0.0274

Step 4

Since P value < 0.05

We reject the null hypothesis

There is sufficient evidence to conclude in favor of the prediction that his students would be more depressed .