Question: PSU claims that the average SATM score for the incoming fall class at University Park was approximately 610. Use the Class Survey data in the Datasets folder to test whether the current population of PSU undergrads at UP campus differs from this claim. Again, first by hand and then with Minitab. The descriptive statistics are: sample size is 216; sample mean is 599; and the sample standard deviation is 85.3

1. Write the null and alternative hypotheses using appropriate statistical notation.
2. Calculate DF and the t-statistic:
3. From the T-table what is the range of the p-value based on you t-statistic? That is, first find between what two t-values does this test statistic fall, and then find the tail probability area for each of these values. NOTE: if you selected a two-sided Ha (i.e. used ≠) then you need to double the p-values found in the table. That is, first find between what two t-values does this test statistic fall, and then find the tail probability area for each of these values.
4. Based on your p-value what is your decision and conclusion? Does this conclusion make sense based on your confidence interval calculated above? That is, does your confidence interval contain/not contain 610? If you rejected Ho then your interval should not contain 610 and vice-versa.
5. Now use Minitab to verify your results. Go to Stat > Basic Statistics > 1-Sample t and select SATM (column C16). Click the box for "Perform Hypothesis Test" and enter the value from your hypotheses statements (i.e. u _o ). Click on Options and select the correct alternative . Click OK twice and copy and paste your Minitab results. Do your results by hand and those from Minitab roughly match?

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