Question

Membership in Mensa requires an IQ score above 131.5. Nine candidates take IQ tests, and their summary results mean IQ score is 133. (IQ scores are normally distributed with a mean of 100 and a standard deviation of 15). If 9 people are randomly selected, find the probability that their mean IQ score is at least 133. Can it be concluded that all 9 candidates have IQ scores above 131.5 so that they are all eligible for Mensa membership.

Name: membership in mensa requires an iq score above 1315 nine candidates take iq tests and their summary results mean iq score is 133 iq scores are normally distributed with a mean of 100 and a standard de
Uploaded: 2021-05-07T20:29:23-08:00
Duration: 3 min 23 s
Channel: Robin Corrigan
Description: membership in mensa requires an iq score above 1315 nine candidates take iq tests and their summary results mean iq score is 133 iq scores are normally distributed with a mean of 100 and a standard de

          Membership in Mensa requires an IQ score above 131.5. Nine candidates take IQ tests, and their summary results mean IQ score is 133. (IQ scores are normally distributed with a mean of 100 and a standard deviation of 15). If 9 people are randomly selected, find the probability that their mean IQ score is at least 133. Can it be concluded that all 9 candidates have IQ scores above 131.5 so that they are all eligible for Mensa membership.

Added by Mayra G.

Elementary Statistics

Mario F. Triola 11th Edition

Chapter 6

Instant Answer

Solved by Expert Robin Corrigan

05/07/2021

Step 1

In this case, n = 9, standard deviation = 15. So, SEM = 15 / sqrt(9) = 15 / 3 = 5. Show more…

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Membership in Mensa requires an IQ score above 131.5. Nine candidates take IQ tests, and their summary results mean IQ score is 133. (IQ scores are normally distributed with a mean of 100 and a standard deviation of 15). If 9 people are randomly selected, find the probability that their mean IQ score is at least 133. Can it be concluded that all 9 candidates have IQ scores above 131.5 so that they are all eligible for Mensa membership.