A worldwide organization of academics claims that the mean IQ score of its members is 112, with a standard deviation of 17. A randomly selec members of this organization is tested, and the results reveal that the mean IQ score in this sample is 114.2. If the organization's claim is correct, what is the probability of having a sample mean of 114.2 or less for a random sample of this size? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 8CR
icon
Related questions
Question
A worldwide organization of academics claims that the mean IQ score of its members is 112, with a standard deviation of 17. A randomly selected group of 35
members of this organization is tested, and the results reveal that the mean IQ score in this sample is 114.2.
If the organization's claim is correct, what is the probability of having a sample mean of 114.2 or less for a random sample of this size?
Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
X
Transcribed Image Text:A worldwide organization of academics claims that the mean IQ score of its members is 112, with a standard deviation of 17. A randomly selected group of 35 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 114.2. If the organization's claim is correct, what is the probability of having a sample mean of 114.2 or less for a random sample of this size? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. X
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill