A researcher believes that 51% of people who grew up as the only child have an IQ score over 100. However, unknown to the researcher, this figure is actually 50%, which is the same as in the general population. To attempt to find evidence for the claim, the researcher is going to take a random sample of 400 people who grew up as the only child. Let p be the proportion of people in the sample with an IQ score above 100. Answer the following. (If necessary, consult a list of formulas.) (c)Compute an approximation for        , which is the probability that there will be 51% or more people with IQ scores over 100 in the sample. Round your answer to four decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 16HP
icon
Related questions
Question

A researcher believes that 51% of people who grew up as the only child have an IQ score over 100. However, unknown to the researcher, this figure is actually 50%, which is the same as in the general population. To attempt to find evidence for the claim, the researcher is going to take a random sample of 400 people who grew up as the only child. Let p be the proportion of people in the sample with an IQ score above 100.

Answer the following. (If necessary, consult a list of formulas.)

(c)Compute an approximation for        , which is the probability that there will be 51% or more people with IQ scores over 100 in the sample. Round your answer to four decimal places.

 

nswer the following. (If necessary, consult a list of formulas.)
(a) Find the mean of p.
(b) Find the standard deviation of p.
0
(c) Compute an approximation for P(p ≥ 0.51), which is the probability that
scores over 100 in the sample. Round your answer to four decimal places.
0
Transcribed Image Text:nswer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. (b) Find the standard deviation of p. 0 (c) Compute an approximation for P(p ≥ 0.51), which is the probability that scores over 100 in the sample. Round your answer to four decimal places. 0
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill