A statistics instructor claims that the mean score for all students on the first statistics exam is above 75. To test this claim, 20 students are selected at random. Their scores from the first exam had a mean of 78.2 with a standard deviation of 14.25. Test the claim that the mean score for all students on the first statistics exam is above 75. Use a = 0.01. Answer the following questions. a. Identify the claim and state the Ho and H1. b. Find the critical value. c. Calculate the test statistic. d. Make a decision to reject or fail to reject the Ho. e. Interpret the decision.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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A statistics instructor claims that the mean score for all students on the first statistics exam is
above 75. To test this claim, 20 students are selected at random. Their scores from the first
exam had a mean of 78.2 with a standard deviation of 14.25. Test the claim that the mean
score for all students on the first statistics exam is above 75. Use a = 0.01. Answer the
following questions.
a. Identify the claim and state the Ho and H1.
b. Find the critical value.
c. Calculate the test statistic.
d. Make a decision to reject or fail to reject the Ho.
e. Interpret the decision.
Transcribed Image Text:A statistics instructor claims that the mean score for all students on the first statistics exam is above 75. To test this claim, 20 students are selected at random. Their scores from the first exam had a mean of 78.2 with a standard deviation of 14.25. Test the claim that the mean score for all students on the first statistics exam is above 75. Use a = 0.01. Answer the following questions. a. Identify the claim and state the Ho and H1. b. Find the critical value. c. Calculate the test statistic. d. Make a decision to reject or fail to reject the Ho. e. Interpret the decision.
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