The ages of 128 randomly selected adult females have a standard deviation of 17.2 years. Assume that the ages of female statistics students have less variation than the ages of females in the general population. So let q= 17.2 years for the sample size calculation. How many female statistics students ages must be obtained in order to estimate the mean age of all female statistics students? Assume we want a 98% confidence that the sample mean is within one half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? a. What is the required sample size? b. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? Please show solving steps and if possible include what excel functions are used to find these answers.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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The ages of 128 randomly selected adult females have a standard deviation of 17.2 years. Assume that the ages of female statistics students have less variation than the ages of females in the general population. So let q= 17.2 years for the sample size calculation. How many female statistics students ages must be obtained in order to estimate the mean age of all female statistics students? Assume we want a 98% confidence that the sample mean is within one half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population?

a. What is the required sample size?

b. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population?

Please show solving steps and if possible include what excel functions are used to find these answers. 

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