Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts​ (a) through​ (c) below. a. If 1 adult female is randomly​ selected, find the probability that her pulse rate is between 66 beats per minute and 78 beats per minute.   The probability is nothing. ​(Round to four decimal places as​ needed.) b. If 4 adult females are randomly​ selected, find the probability that they have pulse rates with a mean between 66 beats per minute and 78 beats per minute.   The probability is nothing. ​(Round to four decimal places as​ needed.) c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?     A. Since the original population has a normal​ distribution, the distribution of sample means is a normal distribution for any sample size.   B. Since the distribution is of​ individuals, not sample​ means, the distribution is a normal distribution for any sample size.   C. Since the distribution is of sample​ means, not​ individuals, the distribution is a normal distribution for any sample size.   D. Since the mean pulse rate exceeds​ 30, the distribution of sample means is a normal distribution for any sample size.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.