Example 2: A local community college professor was interested in interviewing students from her college to determine how much, on average, those students spend on textbooks each semester. She randomly sampled 47 students and found that they had spent an average of $214 on textbooks each semester with a standard deviation of $51. a) Construct and interpret an 87% confidence interval for the true mean amount of money that students at this particular community college spend on textbooks each semester. b) How would the interval that you created in part (a) compare to an 80% confidence interval for the same parameter? Calculate the new interval to justify your answer. c) How would the interval that you created in part (a) compare to a 96% confidence interval for the same parameter? Calculate the new interval to justify your answer.

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Example 2: A local community college professor was interested in interviewing students from her
college to determine how much, on average, those students spend on textbooks each semester.
She randomly sampled 47 students and found that they had spent an average of $214 on
textbooks each semester with a standard deviation of $51.
a) Construct and interpret an 87% confidence interval for the true mean amount of money
that students at this particular community college spend on textbooks each semester.
b) How would the interval that you created in part (a) compare to an 80% confidence interval
for the same parameter? Calculate the new interval to justify your answer.
c) How would the interval that you created in part (a) compare to a 96% confidence interval
for the same parameter? Calculate the new interval to justify your answer.
Transcribed Image Text:Example 2: A local community college professor was interested in interviewing students from her college to determine how much, on average, those students spend on textbooks each semester. She randomly sampled 47 students and found that they had spent an average of $214 on textbooks each semester with a standard deviation of $51. a) Construct and interpret an 87% confidence interval for the true mean amount of money that students at this particular community college spend on textbooks each semester. b) How would the interval that you created in part (a) compare to an 80% confidence interval for the same parameter? Calculate the new interval to justify your answer. c) How would the interval that you created in part (a) compare to a 96% confidence interval for the same parameter? Calculate the new interval to justify your answer.
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