Question: A random sample of 70 observations from a normally distributed population possesses a mean equal to 26.2 and a standard deviation equal to 4.1. a.Find

A random sample of 70 observations from a normally distributed population possesses a mean equal to 26.2 and a standard deviation equal to 4.1.

a.Find a 95% confidence interval for the mean.

b.Find a 99% confidence interval for the mean.

c.What happens to the width of a confidence interval as the value of the confidence coefficient is increased while the sample size is held fixed?

d.Would your confidence intervals of part a and part b be valid if the distribution of the original population was not normal? Please give your explanation.

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