Understandable Statistics: Concepts and Methods
12th Edition
ISBN: 9781337119917
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Question
Chapter 8.5, Problem 27P
(a)
To determine
Find the degrees of freedom for the student’s t distribution by using Satterthwaite’s formula.
(b)
To determine
Compare the degrees of freedom of using Satterthwaite’s formula and using Problem 19 method.
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Calculate the 90% confidence interval for the population mean difference using the data in the attached image. I need to see where I went wrong.
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?
Chapter 8 Solutions
Understandable Statistics: Concepts and Methods
Ch. 8.1 - Statistical Literacy Discuss each of the following...Ch. 8.1 - Statistical Literacy In a statistical test, we...Ch. 8.1 - Statistical Literacy If we fail to reject (i.e.,...Ch. 8.1 - Statistical Literacy If we reject the null...Ch. 8.1 - Statistical Literacy What terminology do we use...Ch. 8.1 - Prob. 6PCh. 8.1 - Statistical Literacy If the P-value in a...Ch. 8.1 - Statistical Literacy If the P-value in a...Ch. 8.1 - Statistical Literacy Suppose the P-value in a...Ch. 8.1 - Statistical Literacy Suppose the P-value in a...
Ch. 8.1 - Basic Computation: Setting Hypotheses Suppose you...Ch. 8.1 - Basic Computation: Setting Hypotheses Suppose you...Ch. 8.1 - Basic Computation: Find Test Statistic,...Ch. 8.1 - Basic Computation: Find the Test Statistic,...Ch. 8.1 - Veterinary Science: Colts The body weight of a...Ch. 8.1 - Marketing: Shopping Time How much customers buy is...Ch. 8.1 - Meteorology: Storms Weatherwise magazine is...Ch. 8.1 - Chrysler Concorde: Acceleration Consumer Reports...Ch. 8.1 - For Problems 1924, please provide the following...Ch. 8.1 - For Problems 1924, please provide the following...Ch. 8.1 - For Problems 1924, please provide the following...Ch. 8.1 - For Problems 1924, please provide the following...Ch. 8.1 - Prob. 23PCh. 8.1 - Prob. 24PCh. 8.2 - Statistical Literacy For the same sample data and...Ch. 8.2 - Statistical Literacy To test for an x...Ch. 8.2 - Statistical Literacy When using the Students t...Ch. 8.2 - Critical Thinking Consider a test for . If the...Ch. 8.2 - Critical Thinking Consider a test for . If the...Ch. 8.2 - Critical Thinking If sample data is such that for...Ch. 8.2 - Basic Computation: P-value Corresponding to t...Ch. 8.2 - Basic Computation: P-value Corresponding to t...Ch. 8.2 - Basic Computation: Testing , Unknown A random...Ch. 8.2 - Basic Computation: Testing , Unknown A random...Ch. 8.2 - Please provide the following information for...Ch. 8.2 - Please provide the following information for...Ch. 8.2 - Please provide the following information for...Ch. 8.2 - Please provide the following information for...Ch. 8.2 - Please provide the following information for...Ch. 8.2 - Prob. 16PCh. 8.2 - Please provide the following information for...Ch. 8.2 - Prob. 18PCh. 8.2 - Please provide the following information for...Ch. 8.2 - Prob. 20PCh. 8.2 - Prob. 21PCh. 8.2 - Prob. 22PCh. 8.2 - Critical Thinking: One-Tailed versus Two-Tailed...Ch. 8.2 - Prob. 25PCh. 8.2 - Prob. 26PCh. 8.2 - Prob. 27PCh. 8.2 - Prob. 28PCh. 8.2 - Prob. 29PCh. 8.2 - Prob. 30PCh. 8.3 - Statistical Literacy To use the normal...Ch. 8.3 - Statistical Literacy Consider a binomial...Ch. 8.3 - Prob. 3PCh. 8.3 - Critical Thinking An article in a newspaper states...Ch. 8.3 - Basic Computation: Testing p A random sample of 30...Ch. 8.3 - Basic Computation: Testing p A random sample of 60...Ch. 8.3 - Prob. 7PCh. 8.3 - Prob. 8PCh. 8.3 - Prob. 9PCh. 8.3 - For Problems 721, please provide the following...Ch. 8.3 - Prob. 11PCh. 8.3 - For Problems 721, please provide the following...Ch. 8.3 - For Problems 721, please provide the following...Ch. 8.3 - Prob. 14PCh. 8.3 - For Problems 721, please provide the following...Ch. 8.3 - Prob. 16PCh. 8.3 - For Problems 721, please provide the following...Ch. 8.3 - Prob. 18PCh. 8.3 - Prob. 19PCh. 8.3 - Prob. 20PCh. 8.3 - Prob. 21PCh. 8.3 - Prob. 22PCh. 8.3 - Critical Region Method: Testing Proportions Solve...Ch. 8.3 - Prob. 24PCh. 8.4 - Prob. 1PCh. 8.4 - Prob. 2PCh. 8.4 - Prob. 3PCh. 8.4 - Prob. 4PCh. 8.4 - Prob. 5PCh. 8.4 - Prob. 6PCh. 8.4 - Prob. 7PCh. 8.4 - Basic Computation: Paired Differences Test For a...Ch. 8.4 - Prob. 9PCh. 8.4 - Prob. 10PCh. 8.4 - For Problems 921 assume that the distribution of...Ch. 8.4 - For Problems 921 assume that the distribution of...Ch. 8.4 - Prob. 13PCh. 8.4 - Prob. 14PCh. 8.4 - Prob. 15PCh. 8.4 - Prob. 16PCh. 8.4 - For Problems 921 assume that the distribution of...Ch. 8.4 - Prob. 18PCh. 8.4 - Prob. 19PCh. 8.4 - Prob. 20PCh. 8.4 - Prob. 21PCh. 8.4 - Expand Your Knowledge: Confidence Intervals for d...Ch. 8.4 - Prob. 23PCh. 8.4 - Prob. 24PCh. 8.5 - Statistical Literacy Consider a hypothesis test of...Ch. 8.5 - Prob. 2PCh. 8.5 - Prob. 3PCh. 8.5 - Statistical Literacy Consider a hypothesis test of...Ch. 8.5 - Statistical Literacy Consider a hypothesis test of...Ch. 8.5 - Critical Thinking Consider use of a Students t...Ch. 8.5 - Critical Thinking When conducting a test for the...Ch. 8.5 - Critical Thinking When conducting a test for the...Ch. 8.5 - Basic Computation: Testing 1 2 A random sample of...Ch. 8.5 - Basic Computation: Testing 1 2 Two populations...Ch. 8.5 - Basic Computation: Testing 1 2 A random sample of...Ch. 8.5 - Basic Computation: Testing 1 2 Two populations...Ch. 8.5 - Prob. 13PCh. 8.5 - Prob. 14PCh. 8.5 - Please provide the following information for...Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Please provide the following information for...Ch. 8.5 - Prob. 21PCh. 8.5 - Please provide the following information for...Ch. 8.5 - Prob. 23PCh. 8.5 - Prob. 24PCh. 8.5 - Prob. 25PCh. 8.5 - Prob. 26PCh. 8.5 - Prob. 27PCh. 8.5 - Prob. 28PCh. 8.5 - Prob. 29PCh. 8.5 - Prob. 30PCh. 8.5 - Please provide the following information for...Ch. 8.5 - Prob. 32PCh. 8.5 - Prob. 33PCh. 8.5 - Prob. 34PCh. 8.5 - Prob. 35PCh. 8.5 - Prob. 36PCh. 8.5 - Prob. 37PCh. 8.5 - Prob. 38PCh. 8 - Prob. 1CRPCh. 8 - Prob. 2CRPCh. 8 - Critical Thinking All other conditions being...Ch. 8 - Prob. 4CRPCh. 8 - Before you solve each problem below, first...Ch. 8 - Prob. 6CRPCh. 8 - Prob. 7CRPCh. 8 - Prob. 8CRPCh. 8 - Prob. 9CRPCh. 8 - Prob. 10CRPCh. 8 - Prob. 11CRPCh. 8 - Prob. 12CRPCh. 8 - Prob. 13CRPCh. 8 - Prob. 14CRPCh. 8 - Before you solve each problem below, first...Ch. 8 - Prob. 16CRPCh. 8 - Prob. 17CRPCh. 8 - Prob. 18CRPCh. 8 - Discuss each of the following topics in class or...Ch. 8 - Prob. 2LCCh. 8 - Prob. 3LCCh. 8 - Prob. 4LCCh. 8 - Prob. 5LC
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