Assume that females have pulse rates that
Answered question
2022-03-23
Assume that females have pulse rates that are normally distributed with a mean of
μ=74.0
beats per minute and a standard deviation of
σ=12.5
beats per minute. Complete parts (a) through (c) below.
Question content area bottom
Part 1
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between
68
beats per minute and
80
beats per minute.
The probability is
enter your response here.
(Round to four decimal places as needed.)
Part 2
b. If
16
adult females are randomly selected, find the probability that they have pulse rates with a mean between
68
beats per minute and
80
beats per minute.
The probability is
enter your response here.
(Round to four decimal places as needed.)
Part 3
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
A.
Since the mean pulse rate exceeds 30, 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 original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.
Answer & Explanation
user_27qwe
Skilled2022-04-22Added 375 answers
Mean,
Std deviation,
(from z distribution table)
If 1 adult female is randomly selected, the probability that her pulse rate is less than 78 beats per minute would be
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