1. Given a normal distribution with u = 100 and o = 12, a sample of n = 36 is drawn at random. a. What is the probability that the sample mean will fall above 99? b. What proportion of the sample means will have a value less than 95?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1. Given a normal distribution with H = 100 and o = 12, a sample of n = 36 is drawn at random.
a. What is the probability that the sample mean will fall above 99?
b. What proportion of the sample means will have a value less than 95?
2. The Wehsler IQ test is normally distributed and has a known u = 100 and ao = 15. A sample of n = 25 is
drawn at random.
a. The probability is .04 that the mean of the sample will be below what value?
b. What middle range of sample IQS will be expected to occur 95% of the time?
Transcribed Image Text:1. Given a normal distribution with H = 100 and o = 12, a sample of n = 36 is drawn at random. a. What is the probability that the sample mean will fall above 99? b. What proportion of the sample means will have a value less than 95? 2. The Wehsler IQ test is normally distributed and has a known u = 100 and ao = 15. A sample of n = 25 is drawn at random. a. The probability is .04 that the mean of the sample will be below what value? b. What middle range of sample IQS will be expected to occur 95% of the time?
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