1)When using technology please identify the program and values used, e.g., TI 2^nd Vars normal cdf(-2.7,100000)=Answer

2)Where appropriate, a graph/picture is to be provided as part of your solution.

_| Part 2 (20pts ea.) Female Pulse Rates Assume that females have pulse rates that are normally distributed with mean 74 beats per minute. and a standard deviation of 12.5 beats per minute. a) If an adult female is randomly selected, nd the probability that her pulse rate is greater than 70 beats per minute. b) If 15 adult females are randomly selected, find the probability that they have pulse rates with a mean greater than 70 beats per minute. c) Why can the normal distribution be used in part b), even though the sample size does not exceed 30? Skulls Maximum breadths of samples of male Egyptian skulls from 4000 B .C. and 150 A. D. (based on data 'om Ancient Races o the l; ' u 1:; b Thomson and Randall t .. v are - 'ven below. 4000 B.C.: 131 119 138 125 129 126 131 132 126 128 128 131 150 A.D.: 136 130 126 126 139 141 137 138 133 131 134 129 Changes in head sizes over time suggest interbreeding with people from other regions. Assume the random variable is normally distributed. a) Construct a 90% condence interval for the population mean for 4000 BC and 150 AD and determine whether the head sizes appear to have changed from 4000 B.C. to 150 AD. Time Passing. Randomly selected statistics students participated in an experiment to test their ability to determine when 1 minute (or 60 seconds) has passed. Forty students yielded a sample mean of 58.3 seconds. a) If a = 9.5 sec, construct a 99% condence interval estimate of the population mean of all statistics students. b) Based on the result, is it likely that their estimates have a mean that is reasonably close to 60 sec? Temperature The mean winter temperature in San Francisco for the month of December is less than 49F. Suppose a random sample of 25 days in December showed a sample mean of 45.7\"F. Assume that o = 3 and a normally distributed population. Test, using the critical region method, whether the population mean temperature is less than 49F; test at a level of signicance (1 = 0.01