For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim.   A guidance counselor claims that high school students in a college preparatory program score higher on the ACT test than those in a general program. The mean ACT score for a random sample of 49 students in the college preparatory program is 22.2 with a standard deviation of 4.8.  The mean ACT score for a random sample of 46 students in the general program is 20.0 with a standard deviation of 5.4.  Perform the appropriate test on the counselor’s claim with regard to the difference between the mean ACT scores at α = 0.10.

MATLAB: An Introduction with Applications
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For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including:

  1. Identifying the claim and H0 and Ha,
  2. Finding the appropriate standardized test statistic,
  3. Finding the P-value or the rejection region,
  4. Deciding whether to reject or fail to reject the null hypothesis, and
  5. Interpreting the decision in the context of the original claim.

 

  1. A guidance counselor claims that high school students in a college preparatory program score higher on the ACT test than those in a general program. The mean ACT score for a random sample of 49 students in the college preparatory program is 22.2 with a standard deviation of 4.8.  The mean ACT score for a random sample of 46 students in the general program is 20.0 with a standard deviation of 5.4.  Perform the appropriate test on the counselor’s claim with regard to the difference between the mean ACT scores at α = 0.10.
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