5) An official at the department of education in Capricorn district plans to use an average of a random sample of 150 sixth graders from a large school in the district to estimate the mean score that all the sixth graders in the district are likely to get if they took a certain mathematics test. If, based on past experience, He knows that a population standard deviation is 9.4 for such data, i) ii) What can He declare with probability 0.95 about the maximum error? If he takes the sample and gets a mean of 61.8. Construct a 99% confidence interval for the mean score of all the sixth graders in this district.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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5) An official at the department of education in Capricorn district plans to use an
average of a random sample of 150 sixth graders from a large school in the
district to estimate the mean score that all the sixth graders in the district are
likely to get if they took a certain mathematics test. If, based on past experience,
He knows that a population standard deviation is 9.4 for such data,
What can He declare with probability 0.95 about the maximum error?
If he takes the sample and gets a mean of 61.8. Construct a 99%
confidence interval for the mean score of all the sixth graders in this
district.
ii)
Transcribed Image Text:5) An official at the department of education in Capricorn district plans to use an average of a random sample of 150 sixth graders from a large school in the district to estimate the mean score that all the sixth graders in the district are likely to get if they took a certain mathematics test. If, based on past experience, He knows that a population standard deviation is 9.4 for such data, What can He declare with probability 0.95 about the maximum error? If he takes the sample and gets a mean of 61.8. Construct a 99% confidence interval for the mean score of all the sixth graders in this district. ii)
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