Question

Use the normal distribution of SAT critical reading scores for which the mean is

507507

and the standard deviation is

108108.

Assume the variable x is normally distributed.

left parenthesis a right parenthesis(a) |
What percent of the SAT verbal scores are less than
650650? |

left parenthesis b right parenthesis(b) |
If 1000 SAT verbal scores are randomly selected, about how
many would you expect to be greater than
575575? |

left parenthesis a right parenthesis(a)

Approximately

1.341.34%

of the SAT verbal scores are less than

650650.

(Round to two decimal places as needed.)

left parenthesis b right parenthesis(b)

You would expect that approximately

1.321.32

SAT verbal scores would be greater than

575575.

(Round to the nearest whole number as needed.)

Answer #1

for normal distribution z score =(X-μ)/σx | |

here mean= μ= | 507 |

std deviation =σ= | 108.000 |

a)

probability =P(X<650)=(Z<(650-507)/108)=P(Z<1.32)=0.9073 ~
90.73 % |

**Approximately 90.73 % of the SAT verbal
scores are less than 650.**

2)

probability =P(X>575)=P(Z>(575-507)/108)=P(Z>0.63)=1-P(Z<0.63)=1-0.7355=0.2645 |

You would expect that approximately 1000*0.2645 ~ **265
SAT** verbal scores would be greater than 575.

Use the normal distribution of SAT critical reading scores for
which the mean is 507 and the standard deviation is 111. Assume the
variable x is normally distributed.
left parenthesis a right parenthesis
What percent of the SAT verbal scores are less than 675?
left parenthesis b right parenthesis
If 1000 SAT verbal scores are randomly selected, about how many
would you expect to be greater than 550?
left parenthesis a right parenthesis Approximately
nothing% of the SAT verbal scores...

25. Use the normal distribution of SAT critical reading scores
for which the mean is 503 and the standard deviation is 110. Assume
the variable x is normally distributed. left parenthesis a right
parenthesis What percent of the SAT verbal scores are less than
675? left parenthesis b right parenthesis If 1000 SAT verbal
scores are randomly selected, about how many would you expect to
be greater than 525? left parenthesis a right parenthesis
Approximately nothing% of the SAT verbal...

Use the normal distribution of SAT critical reading scores for
which the mean is 511 and the standard deviation is 108. Assume the
variable x is normally distributed. left parenthesis a right
parenthesis What percent of the SAT verbal scores are less than
675? left parenthesis b right parenthesis If 1000 SAT verbal
scores are randomly selected, about how many would you expect to
be greater than 550?

Use the normal distribution of SAT critical reading scores for
which the mean is 506 and the standard deviation is 112. Assume the
variable x is normally distributed. left parenthesis a right
parenthesis What percent of the SAT verbal scores are less than
600? left parenthesis b right parenthesis If 1000 SAT verbal
scores are randomly selected, about how many would you expect to
be greater than 525?

Use the normal distribution of SAT critical reading scores for
which the mean is 503 and the standard deviation is 112. Assume the
variable x is normally distributed. (a) What percent of the SAT
verbal scores are less than 650? ( b) If 1000 SAT verbal scores
are randomly selected, about how many would you expect to be
greater than 575?
(a) Approximately nothing% of the SAT verbal scores are less
than 650. (Round to two decimal places as needed.)...

Use the normal distribution of SAT critical reading scores for
which the mean is
510
and the standard deviation is
111
Assume the variable x is normally distributed.
a)
What percent of the SAT verbal scores are less than
625?
(b)
If 1000 SAT verbal scores are randomly selected, about how
many would you expect to be greater than
525?

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is
1010
inches and the standard deviation is
44
inches. Assume the variable x is normally distributed.
left parenthesis a right parenthesis(a)
What percent of the fish are longer than
1313
inches?
left parenthesis b right parenthesis(b)
If
200200
fish are randomly selected, about how many would you expect to be
shorter than
66
inches?
left parenthesis a right parenthesis(a)
Approximately
nothing%
of fish are longer than
1313
inches....

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following.
4a) A student who took the SAT is randomly selected.
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Round to four decimal places.
4b) What percent of the SAT Total Scores are less than
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4c) Out of 400 randomly selected SAT Total Scores, about
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the
scores for makes in critical reading portion of the stat are
normally distributed with a mean of 498 and a standard deviation of
116.
a.
find the probably that a randomly selected person scores
higher than 700.
b.
find the probability that a random selected person scores Less
than 600
d. find the probability that the mean sat scores for a random
sample of size
20 is less than 450.

1) The mean height of women in a country (ages 20-29) is 64.3
inches. A random sample of 75 women in this age group is selected.
What is the probability that the mean height for the sample is
greater than 65 inches? assume σ = 2.59
The probability that the mean height for the sample is greater
than 65 inches is __.
2) Construct the confidence interval for the population mean
μ
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95% confidence...

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