Suppose that head circumferences of adult men have a bell-shaped distribution with mean = 58 cm and standard deviation = 3 cm. (Use the Empirical Rule.)(a)What is the head circumference (in cm) such that only 2.5% of adult men have a smaller head circumference? cm(b)What is the head circumference (in cm) such that only 2.5% of adult men have a larger head circumference? cm(c)What is the head circumference (in cm) such that only 16% of adult men have a larger head circumference? cm

Suppose that the distribution of resting pulse rates for 4-year-olds is bell-shaped with a mean of 108 beats per minute and a standard deviation of 8 beats per minute. Use the Empirical Rule to complete each sentence. (In each sentence enter the smaller number in the first answer blank and the larger number in the second answer blank.)(a)About 68% of 4-year-olds have a resting pulse rate between and beats per minute.(b)About 95% of 4-year-olds have a resting pulse rate between and beats per minute.(c)About 99.7% of 4-year-olds have a resting pulse rate between and beats per minute.

Chest circumferences of adult males are known to follow a Normal distribution with mean 40 inches and standard deviation 2.1 inches. Suppose we collect a random sample of 66 adult males. What is the probability that the average chest circumference of this group will be exactly 39.98 inches?Give your answer to four decimal places. If the question cannot be answered with the information given, enter -1 as your answer.

Suppose that the mean cranial capacity for men is 1090 cc (cubic centimeters) and that the standard deviation is 300 cc. Assuming that men's cranial capacities are normally distributed, complete the following statements.(a) Approximately 95% of men have cranial capacities between cc and cc.(b) Approximately of men have cranial capacities between 790 cc and 1390 cc.

Use the Empirical Rule to answer each question.During 1 week an overnight delivery company found that the weights of its parcels were normally distributed, with a mean of 28 ounces and a standard deviation of 7 ounces.(a) What percent of the parcels weighed between 14 ounces and 35 ounces? (Round your answer to one decimal place.) %(b) What percent of the parcels weighed more than 49 ounces? (Round your answer to two decimal places.) %

Use the Empirical Rule to answer the question.In a normal distribution, what percent of the data lie in the following?(a)within 2 standard deviations of the mean %(b)more than 1 standard deviation above the mean %(c)between 1 standard deviation below the mean and 2 standard deviations above the mean