Question

Question set 1: One instructor believes that students take more than 2 classes per quarter on average. He randomly interviewed a class of 24 students and found out the mean number of classes per quarter is 2.3 classes and standard deviation of 0.8. Assume alpha is 0.05. (a) Set up the hypothesis..

Answer 1

There is statistical evidence at 95% level to claim that students attend more than 2 classes per quarter

Explanation:

Given that one instructor believes that students take more than 2 classes per quarter on average. Let X be the no of classes students take.

`H_0: \bar x =2\\H_a: \bar x >2`

(Right tailed test at 5% significance level)

`\bar x =2,3 \\s = 0.8`

Mean difference =
`2.3-2=0.3`

Std error =
`(0.8)/(√(24) ) \\=0.1633`

Test statistic t = mean diff/std error = 1.84

p value =0.039

Since p <0.05, we reject null hypothesis.

There is statistical evidence at 95% level to claim that students attend more than 2 classes per quarter