Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 13, Problem 50P
What is the p-value?
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Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
02
x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
A
B
1
No.
States
2
1
ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
E
F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
3
2 ALASKA
0.4493186 OKLAHOMA
k
5
4
3 ARIZONA
0.707914 KANSAS
5
4 ARKANSAS 0.4831379 NORTH DAKOTA
6
5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
525
10
15
INDIANA
MARYLAND
COLORADO
Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined.
1.What percent of the refunds are more than $3,500?
2. What percent of the refunds are more than $3500 but less than $3579?
3. What percent of the refunds are more than $3325 but less than $3579?
A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts?
1. Compute the probability of a value between 44.0 and 55.0.
(The question requires finding probability value between 44 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 44, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the answer of the second part.)
2. Compute the probability of a value greater than 55.0.
Use the same formula, x=55 and subtract the answer from 1.
3. Compute the probability of a value between 52.0 and 55.0.
(The question requires finding probability value between 52 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 52, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the…
Chapter 13 Solutions
Introductory Statistics
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Ch. 13 - State the null hypothesis for a one-way ANOVA test...Ch. 13 - State the alternative hypothesis for a one-way...Ch. 13 - When do you use an ANOVA test?Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - 2 The F Distribution and the F-Ratio Use the...Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - What happens to the curves as the degrees of...Ch. 13 - What is the df(num)?Ch. 13 - What is the df(denom)?Ch. 13 - What are the Sum of Squares and Mean Squares...Ch. 13 - What are the Sum of Squares and Mean Squares...Ch. 13 - What is the F statistic?Ch. 13 - What is the p-value?Ch. 13 - At the 5% significance level, is there a...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Test of Two Variances Use the following...Ch. 13 - Test of Two Variances Use the following...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - What is the p-value?Ch. 13 - Is the claim accurate?Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Three different traffic routes are tested for mean...Ch. 13 - Suppose a group is interested in determining...Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - Three students, Linda, Tuan, and Javier, are given...Ch. 13 - A grassroots group opposed to a proposed increase...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - A researcher wants to know if the mean times (in...Ch. 13 - Are the means for the final exams the same for all...Ch. 13 - Are the mean number of times a month a person eats...Ch. 13 - Are the mean numbers of daily visitors to a ski...Ch. 13 - Sanjay made identical paper airplanes out of three...Ch. 13 - DDT is a pesticide that has been banned from use...Ch. 13 - The data shown is the recorded body temperatures...Ch. 13 - Three students, Linda, Tuan, and Javier, are given...Ch. 13 - A grassroots group opposed to a proposed increase...Ch. 13 - Which two magazine types do you think have the...Ch. 13 - Which two magazine types do you think have...Ch. 13 - Is the variance for the amount of money, in...Ch. 13 - Are the variances for incomes on the East Coast...Ch. 13 - Thirty men in college were taught a method of...Ch. 13 - King Manuel I, Komnenus ruled the Byzantine Empire...Ch. 13 - The American League and the National League of...
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