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Use technology and the given confidence level and sample data to find the confid

ID: 3175509 • Letter: U

Question

Use technology and the given confidence level and sample data to find the confidence interval for the population mean mu. Assume that the population does not exhibit a normal distribution. Weight lost on a diet: 99% confidence n = 61 x = 3.0 kg s=4.3 kg What is the confidence interval for the population mean mu? Is the confidence interval affected by the fact that the data appear to be from a population that is not normally distributed? No, because the sample size is large enough. No, because the population resembles a normal distribution. Yes, because the sample size is not large enough. Yes, because the population does not exhibit a normal distribution.

Explanation / Answer

n =61

sample mean = 3

standard deviation of sample = 4.3

standard devaition of sample mean = 4.3/61 = 0.55

99% confidence interval of normal distribution . is (mean - 2.575sd,mean +2.575*sd) i.e (3-2.575*0.55,3-2.575*0.5) i.e

99% confidence interval of normal distribution . is (1.6 ,4.4)

Answer is (D)

i.e yes beacuse the popualtion does not exhibit a normal distribution beacause for other distributions the 99% confidence interval changes