Question

The overhead reach distance of adult females is normally distributed with a mean of 205 cm and a standard deviation of 7.8 cm.

1) Find the probability that an individual distance is greater than 214.30 cm.

2) Find the probability that the mean for 20 randomly selected distances is greater than 203.20 cm.

3) Why can the normal distribution be used in part B, even though the sample size does not exceed 30?

Answer #1

let X is overhead reach distance of adults females so

X is normal with mean=205 SD=7.8

a)

we have to find P(X>214.30)

now

b)

for n=20 we have to find sample mean >203.20

now

c)

normal distribution be used in part B, even though the sample size does not exceed 30 because we have taken samples from Normal population as The overhead reach distance of adult females is normally distributed with a mean of 205 cm and a standard deviation of 7.8 cm.

The overhead reach distances of adult females are normally
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a. Find the probability that an individual distance is greater
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b. Find the probability that the mean for 20 randomly selected
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c. Why can the normal distribution be used in part (b), even
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The overhead reach distances of adult females are normally
distributed with a mean of 205 cm and a standard deviation of 7.8
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a. Find the probability that an individual distance is greater
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b. Find the probability that the mean for 25 randomly selected
distances is greater than 203.20 cm???
c. Why can the normal distribution be used in part (b), even
though the sample size does not exceed 30?

The overhead reach distances of adult females are normally
distributed with a mean of 205 cm and a standard deviation of 8.9
cm
a. Find the probability that an individual distance is greater
than 217.50 cm.
b. Find the probability that the mean for 25 randomly selected
distances is greater than 202.80 cm.
c. Why can the normal distribution be used in part (b), even
though the sample size does not exceed 30?

The overhead reach distances of adult females are normally
distributed with a mean of 205 cm and a standard deviation of 8.9
cm
a. Find the probability that an individual distance is greater
than 215.00 cm
b. Find the probability that the mean for 15 randomly selected
distances is greater than 203.20 cm.
c. Why can the normal distribution be used in part (b), even
though the sample size does not exceed 30?

The
overhead reach distance of adult females are normally distributed
with a mean of 202.5 cm and a standard deviation of 7.8 cm. A. find
the probability that an individual distance is greater than 211.80
cm. B. find the probability that the mean for 25 randomly selected
distances is greater than 201.20 cm. C. why can the normal
distribution be used in part B even though the sample size does not
exceed 30?

The overhead reach distances of adult females are normally
distributed with a mean of 202.5 cm and a standard deviation of 7.8
cm.
a. Find the probability that an individual distance is greater
than 212.50 cm.
b. Find the probability that the mean for 20 randomly selected
distances is greater than 200.70 cm.
c. Why can the normal distribution be used in part (b), even
though the sample size does not exceed 30?

The overhead reach distances of adult females are normally
distributed with a mean of 200 cm and a standard deviation of 7.8
cm.
a. Find the probability that an individual distance is greater
than 212.50cm.
b. Find the probability that the mean for 15 randomly selected
distances is greater than 198.50 cm
c. Why can the normal distribution be used in part (b), even
though the sample size does not exceed 30?

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distributed with a mean of 197.5 cm and a standard deviation of 8
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than 210.00 cm. b. Find the probability that the mean for 20
randomly selected distances is greater than 195.30 cm. c. Why can
the normal distribution be used in part (b), even though the
sample size does not exceed 30?

The overhead reach distances of adult females are normally
distributed with a mean of 202.5 cm and a standard deviation of 8
cm.
a. Find the probability that an individual distance is greater
than 215.00 cm.
b. Find the probability that the mean for 15 randomly selected
distances is greater than 200.30 cm.
c. Why can the normal distribution be used in part (b), even
though the sample size does not exceed 30?

The overhead reach distances of adult females are normally
distributed with a mean of 197.5 and a standard deviation of 8.9
cm.
a. Find the probability that an individual distance is greater
than 206.80 cm.
b. Find the probability that the mean for 15 randomly selected
distances is greater than 195.30
c. Why can the normal distribution be used in part (b), even
though the sample size does not exceed 30?

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