Solution) Carl wants to estimate the mean length of sentences in his philosophy text book. A random sample of


Question: Carl wants to estimate the mean length of sentences in his philosophy text book. A random sample of 100 sentences had sample mean length of 24 words with sample standard deviation s = 6 words.

(a) Find an 80% confidence interval for the population mean sentence length.

(b) Find a 95% confidence interval for the population mean sentence length.

(c) Calculate the lengths of the two confidence intervals. How do the lengths change as the confidence level increases?

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