Final Exam pt 30 of 40 (36 complete) Use population mean and the given confidenc

Question

Final Exam pt 30 of 40 (36 complete) Use population mean and the given confidence level and sample data to find the confidence interval for the Assume that the population does not exhibit a normal distribution weight lost on a diet 90% confidence n=51 x-40kg S:58kg at s the confidence interval for the population mean ?? ? kg ?-L] kg (Round to one decimal place as needed ) Is the confidence interval affected by the fact that the data appear to be from a poputation that is not normally distributed? O A. Yes, because the population does not exhibit a normal distribution ?8. No, because the population resembles a normal distribution O c. No, because the sample size is large enough O D. Yes, because the sample size is not large enough Click to select your answer sj

Explanation / Answer

Solution :

Given that n = 51 , x-bar = 4.0 , s = 5.8

=> df = n-1 = 50

For 90% confidence interval , t = 1.676

=> The 90% confidence interval of the population mean is x-bar - t*s/sqrt(n) < µ < x-bar + t*s/sqrt(n)

=> 4.0 - 1.676*5.8/sqrt(51) < µ < 4.0 + 1.676*5.8/sqrt(51)

=> 2.6 < µ < 5.4

=> Option C. No, because the sample size is large enough.

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