Question 11 of 20 Annual income: The mean annual income for people in a certain city (in thousands of dollars) is 40, with a standar deviation of 28. A pollster draws a sample of 90 people to interview. (a) What is the probability that the sample mean income is less than 35? (b) What is the probability that the sample mean income is between 38 and 46? th (c) Find the 40 percentile of the sample mean. (d) Would it be unusual for the sample mean to be less than 38? (e) Do you think it would be unusual for an individual to have an income of less than 38? Part 1 of 5

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Part 1 of 5
Page 10/29
Question 11 of 20
Annual income: The mean annual income for people in a certain city (in thousands of dollars) is 40, with a standard
deviation of 28. A pollster draws a sample of 90 people to interview.
(a) What is the probability that the sample mean income is less than 35?
(b) What is the probability that the sample mean income is between 38 and 46?
P
+
(c) Find the 40
percentile of the sample mean.
(d) Would it be unusual for the sample mean to be less than 38?
(e) Do you think it would be unusual for an individual to have an income of less than 38?
Part 2 of 5
11
of 20
decimal places.
(a) What is the probability that the sample mean income is less than 35? Round the answer to at least four
Copyright © 2023 McGraw Hill - ALEKS® is a registered trademark of ALEKS Corporation
The probability that the sample mean income is less than 35 is
"I
Part 3 of 5
percentile of the sample mean is
The probability that the sample mean income is between 38 and 46 is
decimal places.
(b) What is the probability that the sample mean income is between 38 and 46? Round the answer to at least four
(c) Find the 40th percentile of the sample mean. Round the answer to at least one decimal place.
The 40th
Comm
sese
Transcribed Image Text:Part 1 of 5 Page 10/29 Question 11 of 20 Annual income: The mean annual income for people in a certain city (in thousands of dollars) is 40, with a standard deviation of 28. A pollster draws a sample of 90 people to interview. (a) What is the probability that the sample mean income is less than 35? (b) What is the probability that the sample mean income is between 38 and 46? P + (c) Find the 40 percentile of the sample mean. (d) Would it be unusual for the sample mean to be less than 38? (e) Do you think it would be unusual for an individual to have an income of less than 38? Part 2 of 5 11 of 20 decimal places. (a) What is the probability that the sample mean income is less than 35? Round the answer to at least four Copyright © 2023 McGraw Hill - ALEKS® is a registered trademark of ALEKS Corporation The probability that the sample mean income is less than 35 is "I Part 3 of 5 percentile of the sample mean is The probability that the sample mean income is between 38 and 46 is decimal places. (b) What is the probability that the sample mean income is between 38 and 46? Round the answer to at least four (c) Find the 40th percentile of the sample mean. Round the answer to at least one decimal place. The 40th Comm sese
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