A statistics teacher wants to see if there is any difference in the performance of students on the final exam if she gives them orange jelly beans before the exam. She has a theory that orange jelly beans will change the results, but she isn't sure in which direction. She knows that the population mean score on the exam when students do not have orange jelly beans is 85 and that exam scores have an approximately symmetric distribution. She gives orange jelly beans to 25 randomly selected students and finds that these students had a sample mean score of 88 with a sample standard deviation of 5. She wants to have 99% confidence in her result. • State your answer as shown in the examples in Module 12.90. Include two decimal points in your numbers. • Give the statistical criterion you use to determine whether to reject or fail to reject the hypothesis. • The result of your test of Ho in statistical terms.
A statistics teacher wants to see if there is any difference in the performance of students on the final exam if she gives them orange jelly beans before the exam. She has a theory that orange jelly beans will change the results, but she isn't sure in which direction. She knows that the population mean score on the exam when students do not have orange jelly beans is 85 and that exam scores have an approximately symmetric distribution. She gives orange jelly beans to 25 randomly selected students and finds that these students had a sample mean score of 88 with a sample standard deviation of 5. She wants to have 99% confidence in her result. • State your answer as shown in the examples in Module 12.90. Include two decimal points in your numbers. • Give the statistical criterion you use to determine whether to reject or fail to reject the hypothesis. • The result of your test of Ho in statistical terms.
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.15P
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Transcribed Image Text:A statistics teacher wants to see if there is any
difference in the performance of students on the final
exam if she gives them orange jelly beans before the
exam. She has a theory that orange jelly beans will
change the results, but she isn't sure in which
direction. She knows that the population mean score
on the exam when students do not have orange jelly
beans is 85 and that exam scores have an
approximately symmetric distribution. She gives
orange jelly beans to 25 randomly selected students
and finds that these students had a sample mean
score of 88 with a sample standard deviation of 5. She
wants to have 99% confidence in her result.
Transcribed Image Text:• State your answer as shown in the examples in Module 12.90. Include two decimal points
in your numbers.
• Give the statistical criterion you use to determine whether to reject or fail to reject the
hypothesis.
• The result of your test of Ho in statistical terms.
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