Suppose that hourly wages for employees at a large company follow a normal distribution with a mean of $17.56 and a standard deviation of $2.5. Find the following. Round to four decimals if needed. Answers of 0 and 1 are possible due to rounding. a. You take a random sample of 14 employees. Find the probability that their mean wage is between $15.94 and $19.41: b. If you select an employee at random, what is their expected wage? c. Out of a random sample of 14 employees, how many would you expect have wages between $15.94 and $19.41?

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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Question 15
Suppose that hourly wages for employees at a large company follow a normal distribution with a mean of
$17.56 and a standard deviation of $2.5.
Find the following. Round to four decimals if needed. Answers of 0 and 1 are possible due to rounding.
a. You take a random sample of 14 employees. Find the probability that their mean wage is between
$15.94 and $19.41 :
b. If you select an employee at random, what is their expected wage?
c. Out of a random sample of 14 employees, how many would you expect have wages between $15.94 and
$19.41?
d. If you take 185 random samples of 14 employees, how many would you expect to have a mean wage that
is no more than $15.94?
e. The top 6% of samples of size 14 will have a mean that exceeds what value?
or
f. What is the percentile of an hourly wage of $15.94?
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Transcribed Image Text:<> Question 15 Suppose that hourly wages for employees at a large company follow a normal distribution with a mean of $17.56 and a standard deviation of $2.5. Find the following. Round to four decimals if needed. Answers of 0 and 1 are possible due to rounding. a. You take a random sample of 14 employees. Find the probability that their mean wage is between $15.94 and $19.41 : b. If you select an employee at random, what is their expected wage? c. Out of a random sample of 14 employees, how many would you expect have wages between $15.94 and $19.41? d. If you take 185 random samples of 14 employees, how many would you expect to have a mean wage that is no more than $15.94? e. The top 6% of samples of size 14 will have a mean that exceeds what value? or f. What is the percentile of an hourly wage of $15.94? Submit Question • Previous MacBook Air F2 80 F3 D00 D00 F4 F5 F6 F7 F8 %23 & 7 8 60 5 %24
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