A teacher claims that the mean score of students in his class is greater than 82 with a standard deviation of 20. If a sample of 81 students was selected with a mean score of 90 then check if there is enough evidence to support this claim at a 0.05 significance level. a. Describe the population parameter of interest. b. Formulate the null and alternative hypothesis. c. Check the assumptions. d. Choose a significance level size for a. e. Select the appropriate test statistic. Compute the test statistic using the appropriate formula. f. Establish the critical value g. State the decision rule for rejecting or not the null hypothesis. h. Compare the computed test statistic and the critical value/s.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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2. A teacher claims that the mean score of students in his class is greater than 82 with a standard deviation of 20. If a sample of 81 students was selected with a mean score of 90 then check if there is enough evidence to support this claim at a 0.05 significance level.
a. Describe the population parameter of interest.
b. Formulate the null and alternative hypothesis.
c. Check the assumptions.
d. Choose a significance level size for a.
e. Select the appropriate test statistic. Compute the test statistic using the appropriate formula.
f. Establish the critical value
g. State the decision rule for rejecting or not the null hypothesis.
h. Compare the computed test statistic and the critical value/s.

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