Understandable Statistics: Concepts and Methods
12th Edition
ISBN: 9781337119917
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 10.5, Problem 9P
(a)
To determine
Find the level of significance.
State the null and alternative hypothesis.
(b)
To determine
Find the value of
Find the value of
Find the value of
Check that
Find the value of
Find the value of
Find the value of
Find the value of
Find the value of the sample test statistic F.
(c)
To determine
Find the P-value of the sample test statistic.
(d)
To determine
Check whether the null hypothesis is rejected or fail to reject.
(e)
To determine
Interpret the conclusion in the context of the application.
(f)
To determine
Write the summary table for the test.
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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 10 Solutions
Understandable Statistics: Concepts and Methods
Ch. 10.1 - Statistical Literacy In general, are chi-square...Ch. 10.1 - Statistical Literacy For chi-square distributions,...Ch. 10.1 - Prob. 3PCh. 10.1 - Prob. 4PCh. 10.1 - Prob. 5PCh. 10.1 - Prob. 6PCh. 10.1 - Prob. 7PCh. 10.1 - Interpretation: Test of Independence Consider...Ch. 10.1 - Prob. 9PCh. 10.1 - For Problems 919, please provide the following...
Ch. 10.1 - Prob. 11PCh. 10.1 - For Problems 919, please provide the following...Ch. 10.1 - Prob. 13PCh. 10.1 - Prob. 14PCh. 10.1 - Prob. 15PCh. 10.1 - Prob. 16PCh. 10.1 - Prob. 17PCh. 10.1 - For Problems 919, please provide the following...Ch. 10.1 - Prob. 19PCh. 10.2 - Statistical Literacy For a chi-square...Ch. 10.2 - Prob. 2PCh. 10.2 - Statistical Literacy Explain why goodness-of-fit...Ch. 10.2 - Prob. 4PCh. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - Prob. 7PCh. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - Prob. 14PCh. 10.2 - Prob. 15PCh. 10.2 - Prob. 16PCh. 10.2 - Prob. 17PCh. 10.2 - Prob. 18PCh. 10.3 - Statistical Literacy Does the x distribution need...Ch. 10.3 - Critical Thinking The x distribution must be...Ch. 10.3 - Prob. 3PCh. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - Prob. 11PCh. 10.4 - Prob. 1PCh. 10.4 - Statistical Literacy When using the F distribution...Ch. 10.4 - Prob. 3PCh. 10.4 - Prob. 4PCh. 10.4 - Prob. 5PCh. 10.4 - Prob. 6PCh. 10.4 - Prob. 7PCh. 10.4 - Prob. 8PCh. 10.4 - Prob. 9PCh. 10.4 - For Problems 512, please provide the following...Ch. 10.4 - Prob. 11PCh. 10.4 - Prob. 12PCh. 10.5 - In each problem, assume that the distributions are...Ch. 10.5 - Prob. 2PCh. 10.5 - Prob. 3PCh. 10.5 - Prob. 4PCh. 10.5 - Prob. 5PCh. 10.5 - Prob. 6PCh. 10.5 - Prob. 7PCh. 10.5 - Prob. 8PCh. 10.5 - Prob. 9PCh. 10.6 - Prob. 1PCh. 10.6 - Prob. 2PCh. 10.6 - Prob. 3PCh. 10.6 - Prob. 4PCh. 10.6 - Prob. 5PCh. 10.6 - Prob. 6PCh. 10.6 - Prob. 7PCh. 10 - Prob. 1CRPCh. 10 - Prob. 2CRPCh. 10 - Prob. 3CRPCh. 10 - Prob. 4CRPCh. 10 - Prob. 5CRPCh. 10 - Before you solve Problems 514, first classify the...Ch. 10 - Prob. 7CRPCh. 10 - Prob. 8CRPCh. 10 - Prob. 9CRPCh. 10 - Prob. 10CRPCh. 10 - Prob. 11CRPCh. 10 - Prob. 12CRPCh. 10 - Prob. 13CRPCh. 10 - Prob. 14CRPCh. 10 - Prob. 1DHCh. 10 - Prob. 1LCCh. 10 - Prob. 2LCCh. 10 - Prob. 1UTCh. 10 - Prob. 2UTCh. 10 - Prob. 3UT
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