25. In a children's book, the mean word length is 3.7 letters with a standard deviation...

Transcribed Image Text:

25. In a children's book, the mean word length is 3.7 letters with a standard deviation of 2.1 letters. In a novel aimed at teenagers, the mean word length is 4.3 letters with a standard deviation of 2.5 letters. Both distributions of word length are skewed to the right. Independent random samples of 35 words are selected from each book. A) Find the mean of the sampling distribution (children-teen). B) Calculate an interpret the standard deviation of the sampling distribution. Verify the 10% condition is met. C) Justify the shape of the distribution is approximately normal. D) What is the probability that the sample mean word length is greater in the sample from the children's book than in the sample from the teen book? 25. In a children's book, the mean word length is 3.7 letters with a standard deviation of 2.1 letters. In a novel aimed at teenagers, the mean word length is 4.3 letters with a standard deviation of 2.5 letters. Both distributions of word length are skewed to the right. Independent random samples of 35 words are selected from each book. A) Find the mean of the sampling distribution (children-teen). B) Calculate an interpret the standard deviation of the sampling distribution. Verify the 10% condition is met. C) Justify the shape of the distribution is approximately normal. D) What is the probability that the sample mean word length is greater in the sample from the children's book than in the sample from the teen book?