Question

Conduct a hypotheses test using the given information.

A researcher wishes to test the claim that the average cost of tuition and fees at a four-year public college is greater than $5700. She selects a random sample of 36 four-year public colleges and finds the mean to be $5950. The population standard deviation is $659. Is there evidence to support the claim at a significance level of 0.05?

1. Set up appropriate hypotheses.

2. Compute the test statistic.

3. Compute the p-value using excel.

4. State your decision about the null hypotheses.

Answer 1

given that

sample mean =m=5950

population SD=SD=659

sample size =n=36

1)

we have to test that fee is more than 5700

Hence

2)

Now test statistics is given by

3)

Since test is two tailed so P-Value is given by

P-Value =P(Z>2.28) =0.011

you can find P Value by just pasting or writing this formula

=1-NORM.DIST(2.28,0,1,TRUE)

4)

Since P Value (0.011) is less than level of significance hence we reject H0 hence there is enough evidence to support the claim that fee is more than 5700.