# MATH 1740 NCC Week 12 Statistics Hypothesis Testing Worksheet

Math 1740Hypothesis Testing Assignment
Name:_______________________________
Last year, the national mean on the SAT Math test was 523. In their brochure to
recruit students, The Cooley Academy High School is claiming that their students
consistently score higher than the national average on the SAT Math test.
In order to test this claim, a random sample of 50 SAT Math test scores from Cooley
Academy students are listed on the next page. Use the scores to test the claim that
the mean test score for all Cooley Academy students is greater than 523 (thus,
testing the claim that the mean SAT Math score for Cooley Academy students is
greater than the national average).
1. State the claim, null hypothesis, and alternate hypothesis in symbols.
Claim:
𝐻0 :
𝐻1 :
2. Copy and paste the sample of 50 Cooley Academy SAT math test scores into
one column in stat crunch. Calculate the mean and standard deviation for the
sample.
𝑥̅ =
𝑠=
3. Use stat crunch to run a hypothesis test for mean. Go to stat → t-stats → onesample →with summary
your null hypothesis and alternative hypothesis (make sure to select
the appropriate inequality sign for your alternate hypothesis).
4. Based on your p-value, do you reject your null hypothesis or fail to reject
your null hypothesis? Use a 0.05 significance level.
5. Based on your answer to #4, does the sample data provide evidence that
Cooley Academy has SAT Math test scores that are higher than the national
average? Is it fair for Cooley Academy to be claiming their test scores are
higher than the national average?
Math 1740
Hypothesis Testing Assignment
Name:_______________________________
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