Question: 6.4 The Central Limit Theorem For each question, please draw a density curve with the given information. Also, find the corresponding value for the

6.4 The Central Limit Theorem For each question, please draw a density

6.4 The Central Limit Theorem For each question, please draw a density curve with the given information. Also, find the corresponding value for the z score in the graph. Q1 Q2. Assume that that females have pulse rates that are normally distributed with a mean of 74.0 beats per minute and a standard deviation of 12.5 beats per minute. Q1. A) if 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute. Find the z score for 80. B) If 16 adult females are randomly selected, find the probability that they have the pulse rates with a mean less than 80 beats per minute. Find the z score for 80. C) Why can the normal distribution be used in part (B), even though the sample size does not exceed 30? Q2. A) if I adult female is randomly selected, find the probability that her pulse rate is between 72 beats per minute and 76 beats per minute. Find the z scores for 72 and 76. 8 B) If 4 adult females are randomly selected, find the probability that they have the pulse rates with a mean between 72 beats per minute and 76 beats per minute. Find the z scores for 72 and 76. C) Why can the normal distribution be used in part (B), even though the sample size does not exceed 30? Q3. The amount of snowfall falling in a certain mountain ranges is normally distributed with a mean of 74 inches, and a standard deviation of 12 inches. What is the probability that the mean annual snowfall during 36 randomly picked years will exceed 76.8 inches? Find the z score for 76.8 inches.

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