5. A local school district claims that the average reading score of 4th graders throughout the district is 76. A group of parents suspect that the real mean is lower than the district claims, so they conduct a random sample of 37 4th grade students and calculate their reading scores. a. State the null and alternative hypotheses needed to test the claim. b. In order to test the hypothesis at a significance level of 95%, what is the critical value (i.e., what is the cutoff point that separates the rejection region from the acceptance region)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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5. A local school district claims that the average reading score of 4th graders throughout the district
is 76. A group of parents suspect that the real mean is lower than the district claims, so they
conduct a random sample of 37 4th grade students and calculate their reading scores.
a. State the null and alternative hypotheses needed to test the claim.
b. In order to test the hypothesis at a significance level of 95%, what is the critical value
(i.e., what is the cutoff point that separates the rejection region from the acceptance
region)?
c. Using the hypotheses you chose in #5, describe what type I and type ll error would be
for this research problem.
Transcribed Image Text:5. A local school district claims that the average reading score of 4th graders throughout the district is 76. A group of parents suspect that the real mean is lower than the district claims, so they conduct a random sample of 37 4th grade students and calculate their reading scores. a. State the null and alternative hypotheses needed to test the claim. b. In order to test the hypothesis at a significance level of 95%, what is the critical value (i.e., what is the cutoff point that separates the rejection region from the acceptance region)? c. Using the hypotheses you chose in #5, describe what type I and type ll error would be for this research problem.
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