Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 13, Problem 27P
What is the df(denom)?
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In order to find probability, you can use this formula in Microsoft Excel:
The best way to understand and solve these problems is by first drawing a bell curve and marking key points such as x, the mean, and the areas of interest. Once marked on the bell curve, figure out what calculations are needed to find the area of interest.
=NORM.DIST(x, Mean, Standard Dev., TRUE).
When the question mentions “greater than” you may have to subtract your answer from 1.
When the question mentions “between (two values)”, you need to do separate calculation for both values and then subtract their results to get the answer.
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…
If a uniform distribution is defined over the interval from 6 to 10, then answer the followings:
What is the mean of this uniform distribution?
Show that the probability of any value between 6 and 10 is equal to 1.0
Find the probability of a value more than 7.
Find the probability of a value between 7 and 9.
The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be:
More than $27?
Less than or equal to $24?
The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches.
What is the mean amount of rainfall for the month?
What is the probability of less than an inch of rain for the month?
What is the probability of exactly 1.00 inch of rain?
What is the probability of more than 1.50 inches of rain for the month?
The best way to solve this problem is begin by creating a chart. Clearly mark the range, identifying the lower and upper…
Problem 1:
The mean hourly pay of an American Airlines flight attendant is normally distributed with a mean of 40 per hour and a standard deviation of 3.00 per hour. What is the probability that the hourly pay of a randomly selected flight attendant is:
Between the mean and $45 per hour?
More than $45 per hour?
Less than $32 per hour?
Problem 2:
The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds.
What is the area between 415 pounds and the mean of 400 pounds?
What is the area between the mean and 395 pounds?
What is the probability of randomly selecting a value less than 395 pounds?
Problem 3:
In New York State, the mean salary for high school teachers in 2022 was 81,410 with a standard deviation of 9,500. Only Alaska’s mean salary was higher. Assume New York’s state salaries follow a normal distribution.
What percent of New York State high school teachers earn between 70,000 and 75,000?
What percent of New York State high school…
Chapter 13 Solutions
Introductory Statistics
Ch. 13 - As part of an experiment to see how different...Ch. 13 - MRSA, or Staphylococcus aureus, can cause a...Ch. 13 - Four sports teams took a random sample of players...Ch. 13 - Another fourth grader also grew bean plants, but...Ch. 13 - The New York Choral Society divides male singers...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - One-Way ANOVA Use the following information to...Ch. 13 - One-Way ANOVA Use the following information to...Ch. 13 - One-Way ANOVA Use the following information to...
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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5.
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