QlaqToGEmaeffectiveUseramaldhaferri MATHEMATICAL ASSOCIATION 0F AMERICA webwork

Question

QlaqToGEmaeffectiveUseramaldhaferri MATHEMATICAL ASSOCIATION 0F AMERICA webwork m366ryu set6chap7 5 Set6Chap7: Problem 5 Previous Problem ust Next point) A statistics practitioner took a random sample of 44 from a populaton whose standard deviation is 25 and computed the sample mean 1o be observations Note: For each confidence interval, enter your ansuer in the romm (Lcu UCL You must include the parentheses and the comma between A Estimate the population mean with 95% conndence B. Estimate the population mean wth 90% confitence

Explanation / Answer

5 ) n = 44 , std.deviation = 25 , mean = 106

For 95% confidence interval z score = 1.96

CI = mean + / - z * SE

= 106 + /- 1.96 * ( 25 / sqrt(44))

= (98.61 , 113.39)

For 90% confidence interval z value = 1.645

CI = mean + / - z * SE

= 106 + /- 1.645 * ( 25 / sqrt(44))

= (99.80 , 112.19)

For 99% confidence interval z value = 2.576

CI = mean + / - z * SE

= 106 + /- 2.576 * ( 25 / sqrt(44))

= (96.29 , 115.71)

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