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Recall the scenario: The mean age for all Foothill College students for the last few years is 33.2. The population standard deviation has been pretty consistent at 15. Suppose that 25 Winter students were randomly selected. The mean age for the sample was 30.4. You are interested in the true mean age for Winter Foothill College students. Let X = the age of a Winter Foothill College student. Using the same mean, standard deviation, and level of confidence, suppose that n was 69 instead of 25. Would the error bound become larger or smaller? How do you know? Include the error bound for both sample sizes in your answer. Using the same mean, standard deviation, and sample size, how would the error bound change if the confidence level was reduced to 90%? Explain. Include the error bound for both sample sizes in your answer.

Recall the scenario: The mean age for all Foothill College students for the last few years is 33.2. The population standard deviation has been pretty consistent at 15. Suppose that 25 Winter students were randomly selected. The mean age for the sample was 30.4. You are interested in the true mean age for Winter Foothill College students. Let X = the age of a Winter Foothill College student. Using the same mean, standard deviation, and level of confidence, suppose that n was 69 instead of 25. Would the error bound become larger or smaller? How do you know? Include the error bound for both sample sizes in your answer. Using the same mean, standard deviation, and sample size, how would the error bound change if the confidence level was reduced to 90%? Explain. Include the error bound for both sample sizes in your answer.

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
Section10.3: Measures Of Spread
Problem 26PFA
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Recall the scenario: The mean age for all Foothill College students for the last few years is 33.2. The population standard deviation has been pretty consistent at 15. Suppose that 25 Winter students were randomly selected. The mean age for the sample was 30.4. You are interested in the true mean age for Winter Foothill College students. Let X = the age of a Winter Foothill College student.

  1. Using the same mean, standard deviation, and level of confidence, suppose that n was 69 instead of 25. Would the error bound become larger or smaller? How do you know? Include the error bound for both sample sizes in your answer.
  2. Using the same mean, standard deviation, and sample size, how would the error bound change if the confidence level was reduced to 90%? Explain. Include the error bound for both sample sizes in your answer.

 

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