Assume that females have pulse rates that are normally distributed with a mean of u= 76.0 beats per minute and a standard deviation of a = 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 69 beats per minute and 83 beats per minute. The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 69 beats per minute and 83 beats per minute. The probability is (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? O A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. O C. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. D. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. Click to select your answer(s). MacBook Air F11 F10 F9 11F7 F6 F5 000 F4 F2 F1 & C@ #3 8 5.

MATLAB: An Introduction with Applications
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Assume that females have pulse rates that are normally distributed with a mean of u= 76.0 beats per minute and a standard deviation of a = 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 69 beats per minute and 83 beats per minute.
The probability is
(Round to four decimal places as needed.)
b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 69 beats per minute and 83 beats per minute.
The probability is
(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?
O A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.
O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.
O C. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.
D. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.
Click to select your answer(s).
MacBook Air
F11
F10
F9
11F7
F6
F5
000
F4
F2
F1
&
C@
#3
8
5.
Transcribed Image Text:Assume that females have pulse rates that are normally distributed with a mean of u= 76.0 beats per minute and a standard deviation of a = 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 69 beats per minute and 83 beats per minute. The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 69 beats per minute and 83 beats per minute. The probability is (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? O A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. O C. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. D. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. Click to select your answer(s). MacBook Air F11 F10 F9 11F7 F6 F5 000 F4 F2 F1 & C@ #3 8 5.
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