23. What is the probability that a random sample of 15 students would have a mean less than 1447? a 385 b. .002 C. 011 d. 983 e. 092

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please answer number 23

The scores on the North Carolina Bar Exam are normally distributed with a mean of 150 and a standard
deviation of 8. Recall that the Central Limit Theorem allows us to test sampling means as they are normally
distributed. Recall also that z, =
and o, "
22. IfI were to randomly sample 8 students, what is the probability that the sample's average score would
be between 153 and 159?
a .144
b. 235
e. .109
d. 325
e. .031
23. What is the probability that a random sample of 15 students would have a mean less than 1447
a 385
b. 002
c. 011
d. 983
e. .092
24. What is the probability that a random sample of 20 takers would have a mean greater than 153?
a. 953
b. 865
c. .047
d. .075
e. 842
25. A group of 5 test takers gather together. It would be unusual to see their average soore below what
value?
a. 151.3
b. 162.5
c. 145.3
d. 150.0
e. 142.8
Transcribed Image Text:The scores on the North Carolina Bar Exam are normally distributed with a mean of 150 and a standard deviation of 8. Recall that the Central Limit Theorem allows us to test sampling means as they are normally distributed. Recall also that z, = and o, " 22. IfI were to randomly sample 8 students, what is the probability that the sample's average score would be between 153 and 159? a .144 b. 235 e. .109 d. 325 e. .031 23. What is the probability that a random sample of 15 students would have a mean less than 1447 a 385 b. 002 c. 011 d. 983 e. .092 24. What is the probability that a random sample of 20 takers would have a mean greater than 153? a. 953 b. 865 c. .047 d. .075 e. 842 25. A group of 5 test takers gather together. It would be unusual to see their average soore below what value? a. 151.3 b. 162.5 c. 145.3 d. 150.0 e. 142.8
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