# Round to four decimal places as needed 205 7881 b if

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.7881
(Round to four decimal places as needed.)
b. If 44 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 75 beats per minute. The probability is
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
47. The overhead reach distances of adult females are normally distributed with a mean of 205 cm205 cm and a standard deviation of 8.6 cm8.6 cm. a. Find the probability that an individual distance is greater than
b.
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
b. The probability is . .8996 (Round to four decimal places as needed.)
48. Assume that females have pulse rates that are normally distributed with a mean of μ =73.0 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 80 beats per minute.
b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 66 beats per minute and 80 beats per minute.
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.
49. The normal quantile plot shown to the right represents duration times (in seconds) of eruptions of a certain geyser from the accompanying data set. Examine the normal quantile plot and determine whether it depicts sample data from a population with a normal distribution.
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