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Section 6.4 Homework Question 4
Section 6.4 Homework
4. Assume that females have pulse rates that are normally distributed with a mean of ì=74.0 beats per minute and a standard deviation of ó=12.5
beats per minute. Complete parts (a) through (c) below.
If 1 adult female is randomly selected, find the probability that her pulse rate is less than 81 beats per minute. The probability is _____
If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 81 beats per minute. The probability is _____
Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
- Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.
- Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.
- Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.
- Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.