Question

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 scores are less than 675. (Round to two decimal places as needed.)

Answer #1

a) P(X < 675)

= P((X - )/ < (675 - )/)

= P(Z < (675 - 503)/110)

= P(Z < 1.56)

= 0.9406 = 94.06%

b) P(X > 525)

= P((X - )/ > (525 - )/)

= P(Z > (525 - 503)/110)

= P(Z > 0.2)

= 1 - P(Z < 0.2)

= 1 - 0.5793

= 0.4207

Expected number of SAT verbal scores = 1000 * 0.4207 = 420.7 = 421

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...

Use the normal distribution of SAT critical reading scores for
which the mean is
511
and the standard deviation is
119
Assume the variable x is normally distributed.
left parenthesis a right parenthesis(a)
What percent of the SAT verbal scores are less than
600?
left parenthesis b right parenthesis(b)
If 1000 SAT verbal scores are randomly selected, about how
many would you expect to be greater than
525?
left parenthesis a right parenthesis(a)
Approximately
nothing%
of the SAT verbal scores...

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.)...

5.2.17 Use the normal distribution of SAT critical reading
scores for which the mean is 511 and the standard deviation is 117
. Assume the variable x is normally distributed. left parenthesis a
right parenthesis What percent of the SAT verbal scores are less
than 650 ? left parenthesis b right parenthesis If 1000 SAT verbal
scores are randomly selected, about how many would you expect to
be greater than 575 ? left parenthesis a right parenthesis
Approximately nothing %...

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
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...

Use the normal distribution of SAT critical reading scores for
which the mean is 510
and the standard deviation is 110
Assume the variable x is normally distributed.
Approximately what % of the SAT verbal scores are less than
650?
If 1000 SAT verbal scores are randomly selected, about how many
would you expect to be greater than 550?
(round to 2 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?

Use the normal distribution of SAT critical reading scores for
which the mean is 506 and the standard deviation is 125.
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
525?

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