Question

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.

a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 81 beats per minute.

The probability is? (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 less than 81 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?

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.

Answer #1

Assume that females have pulse rates that are normally
distributed with a mean of mu equals 74.0 beats per minute and a
standard deviation of sigma equals 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 less than 81
beats per minute. The probability is nothing . (Round to four
decimal places as needed.) b. If 25 adult females are randomly
selected, find...

Assume that females have pulse rates that are normally
distributed with a mean of mu equals 72.0μ=72.0 beats per minute
and a standard deviation of sigma equals 12.5σ=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 less than 76 beats per minute.
The probability is ?.
(Round to four decimal places as needed.)
b. If 4 adult females are randomly selected, find the...

Assume that females have pulse rates that are normally
distributed with a mean of mu equals 76.0 beats per minute and a
standard deviation of sigma equals 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 less than 79
beats per minute. The probability is nothing. (Round to four
decimal places as needed.) b. If 16 adult females are randomly
selected, find the...

Assume that females have pulse rates that are normally
distributed with a mean of mu equals 73.0μ=73.0 beats per minute
and a standard deviation of sigma equals 12.5σ=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 less than 79 beats per minute.
The probability is ......
(Round to four decimal places as needed.)
b. If 25 adult females are randomly selected, find the...

Assume that females have pulse rates
that are normally distributed with a mean of
mu
equals 75.0?=75.0
beats per minute and a standard
deviation of
sigma
equals 12.5?=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 less than
8282
beats per minute.
The probability is
. 7123.7123.
?(Round to four decimal
places as? needed.)
b. If
2525
adult females are randomly?
selected,
find...

Assume that females have pulse rates that are normally
distributed with a mean of μ=76.0 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 70 beats per minute and
82 beats per minute.The probability is _________ (Round to four
decimal places as needed.)
b. If 4 adult females are randomly selected, find the
probability...

Assume that females have pulse rates that are normally
distributed with a mean of
mu equals 76.0?=76.0
beats per minute and a standard deviation of
sigma equals 12.5?=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 less than
7979
beats per minute.The probability is
nothing.
?(Round to four decimal places as? needed.)
b. If
44
adult females are randomly? selected, find the probability...

Assume that females have pulse rates that are normally
distributed with a mean of
mu equals 72.0μ=72.0
beats per minute and a standard deviation of
sigma equals 12.5σ=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 less than
76
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...

Assume that females have pulse rates that are normally
distributed with a mean of
mu equals 75.0μ=75.0
beats per minute and a standard deviation of
sigma equals 12.5σ=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 less than
8181
beats per minute.The probability is
nothing.
(Round to four decimal places as needed.)
b. If
44
adult females are randomly selected, find the probability...

assume that females have pulse rates that are normally distributed
with a mean of 73.0 beats per minute and a standard deviation of
12.5 beats per minute.
a. if 1 adult female is randomly selected find the probability
that her pulse rate is less than 76 bpm
b. if 25 adult females are randomly selected, find the
probability that they have pulse rates with a mean less than 76
bpm.
c. why can the normal distribution be used in part...

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