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.
sample mean =m=5950
sample size =n=36
we have to test that fee is more than 5700
Now test statistics is given by
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
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.
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