Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134462455
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 10.5, Problem 1BSC
Identifying a Model and R2 Different samples are collected, and each sample consists of IQ scores of 25 statistics students. Let x represent the standard deviation of the 25 IQ scores in a sample, and let y represent the variance of the 25 IQ scores in a sample. What formula best describes the relationship between x and y? Which of the five models describes this relation-ship? What should be the value of R2?
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Microsoft Excel snapshot for random sampling: Also note the formula used for the last
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0.941323044
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CALIFORNIA
NORTH CAROLINA
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Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
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No.
States
Rand No. Random Sample
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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
Elementary Statistics (13th Edition)
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