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1. It has been reported that the average credit card debt for college seniors at the college book store for a specific college is $11,500. The student council at a large university feels that their seniors have a debt much less than this, so it conducts a study of 50 randomly selected seniors and finds that the average debt is P10,900, and the population standard deviation

1. It has been reported that the average credit card debt for college seniors at the college book store for a specific college is $11,500. The student council at a large university feels that their seniors have a debt much less than this, so it conducts a study of 50 randomly selected seniors and finds that the average debt is P10,900, and the population standard deviation

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1. It has been reported that the average credit card debt for college seniors at the college book store for a specific college is $11,500. The student council at a large university feels that their seniors have a debt much less than this, so it conducts a study of 50 randomly selected seniors and finds that the average debt is 10,900, and the population standard deviation is $2,590. With a a=0.05, is the student council correct? 2. The average "moviegoer" sees 8.5 movies a year. A moviegoer is defined as a person who sees at least one movie in a theater in a 12- month period. A random sample of 29 moviegoers from a large university revealed that the average number of movies seen per person was 9.6. The standard deviation is 3.2 movies. At the 0.02 level of significance, can it be concluded that this represents a difference from the national average? 3. The average college student goes through 500 disposable cups in a year. To raise environmental awareness, a student group at a large university volunteered to help count how many cups were used by students on their campus. A random sample of 30 students' results found that they used a mean of 676 cups with standard deviation of 400 cups. At a=0.15, is there sufficient evidence to conclude that the mean is greater than from 500?
Transcribed Image Text:1. It has been reported that the average credit card debt for college seniors at the college book store for a specific college is $11,500. The student council at a large university feels that their seniors have a debt much less than this, so it conducts a study of 50 randomly selected seniors and finds that the average debt is 10,900, and the population standard deviation is $2,590. With a a=0.05, is the student council correct? 2. The average "moviegoer" sees 8.5 movies a year. A moviegoer is defined as a person who sees at least one movie in a theater in a 12- month period. A random sample of 29 moviegoers from a large university revealed that the average number of movies seen per person was 9.6. The standard deviation is 3.2 movies. At the 0.02 level of significance, can it be concluded that this represents a difference from the national average? 3. The average college student goes through 500 disposable cups in a year. To raise environmental awareness, a student group at a large university volunteered to help count how many cups were used by students on their campus. A random sample of 30 students' results found that they used a mean of 676 cups with standard deviation of 400 cups. At a=0.15, is there sufficient evidence to conclude that the mean is greater than from 500?
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