6. According to the College Board the mean SAT score for female college bound seniors in 2009 was 500 with a standard deviation of 100. The distribution of scores was approximately normal. a) A randomly chosen female college bound student scored 540 points. How many standard deviation units away is her score from the mean score? b) What is the probability that a randomly selected student has score less than 380? (Use table) c) Suppose the distribution of scores is normally distributed with a mean score of 550 points (NOT 500 points as stated earlier). Will the probability that a randomly selected student has Score less than 380 be less or more? d) Is a score of 720 unusually high? Why or why not?
6. According to the College Board the mean SAT score for female college bound seniors in 2009 was 500 with a standard deviation of 100. The distribution of scores was approximately normal. a) A randomly chosen female college bound student scored 540 points. How many standard deviation units away is her score from the mean score? b) What is the probability that a randomly selected student has score less than 380? (Use table) c) Suppose the distribution of scores is normally distributed with a mean score of 550 points (NOT 500 points as stated earlier). Will the probability that a randomly selected student has Score less than 380 be less or more? d) Is a score of 720 unusually high? Why or why not?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Question number 6
![6. According to the College Board the mean SAT score for female college bound seniors in 2009
was 500 with a standard deviation of 100. The distribution of scores was approximately normal.
a) A randomly chosen female college bound student scored 540 points. How many standard
deviation units away is her score from the mean score?
b) What is the probability that a randomly selected student has score less than 380? (Use
table)
c) Suppose the distribution of scores is normally distributed with a mean score of 550 points
(NOT 500 points as stated earlier). Will the probability that a randomly selected student has
score less than 380 be less or more?
d) Is a score of 720 unusually high? Why or why not?
7. Can you find the shaded area?
probability
>>
99+
Desktop
47°F Clou
DELL
F5
F6
F7
F8
F9
F10
F11
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7.
8.
R
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Y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a5ea0e6-d23b-4096-9aa2-af6befe9d254%2F8499a691-a45a-4e29-bb5a-4f95603c5fd3%2F4pcwdu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. According to the College Board the mean SAT score for female college bound seniors in 2009
was 500 with a standard deviation of 100. The distribution of scores was approximately normal.
a) A randomly chosen female college bound student scored 540 points. How many standard
deviation units away is her score from the mean score?
b) What is the probability that a randomly selected student has score less than 380? (Use
table)
c) Suppose the distribution of scores is normally distributed with a mean score of 550 points
(NOT 500 points as stated earlier). Will the probability that a randomly selected student has
score less than 380 be less or more?
d) Is a score of 720 unusually high? Why or why not?
7. Can you find the shaded area?
probability
>>
99+
Desktop
47°F Clou
DELL
F5
F6
F7
F8
F9
F10
F11
F12
PrtScr
Insert
&
7.
8.
R
T.
Y
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