Question

Previous study showed that the average expenditure per student for a certain year was $10,000 with population standard deviation of $2,500.  Thomas argues that the average expenditure has changed (i.e. the average expenditure is NOT equal to $10,000).  He finds that a survey of 100 randomly selected University students resulted in a sample mean of $10,500.  Using this sample statistics, John tries to test his argument with α = .05.

Which is correct null hypothesis?

Group of answer choices

H0: µ = 10,500

H0: µ ≠ 10,500

H0: µ = 10,000

H0: µ ≠ 10,000

2)

Which is the correct alternative hypothesis?

Group of answer choices

H1: µ ≠ 10,000

H1: µ = 10,000

H1: µ = 10,500

H1: µ ≠ 10,500

3)

Thomas found that the p-value is 0.0456. Can you reject the Null Hypothesis?

(Yes=True, No=False)

Group of answer choices

True

False

Answer 1

This is the two tailed test .

The null hypothesis is ,

H₀ : = 10500

The alternative hypothesis is,

H_a : 10500

P-value < 0.05

Reject the null hypothesis

True