
Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 1, Problem 37P
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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 1 Solutions
Introductory Statistics
Ch. 1 - Determine what the key terms refer to in the...Ch. 1 - The data are the number of machines in a gym. You...Ch. 1 - The data are the areas of Lawns in square feet....Ch. 1 - The data are the colors of houses. You sample five...Ch. 1 - Determine the correct data type (quantitative or...Ch. 1 - The registrar at State University keeps records of...Ch. 1 - You are going to use the random number generator...Ch. 1 - Determine the type of sampling used (simple...Ch. 1 - A local radio station has a fan base of 20,000...Ch. 1 - Table 1.13 shows the amount, in inches, of annual...
Ch. 1 - From Table 1.13, find the percentage of rainfall...Ch. 1 - From Table 1.13, find the number of towns that...Ch. 1 - Table 1.13 represents the amount, in inches, of...Ch. 1 - Table 1.16 contains the total number of fatal...Ch. 1 - You are concerned about the effects of texting on...Ch. 1 - Describe the unethical behavior, if any, in each...Ch. 1 - Determine that the key terms refer to in the...Ch. 1 - Determine that the key terms refer to in the...Ch. 1 - Determine that the key terms refer to in the...Ch. 1 - Determine that the key terms refer to in the...Ch. 1 - Determine that the key terms refer to in the...Ch. 1 - “Number of times per week” Is what type of data?...Ch. 1 - The sampling method was a. simple random; b....Ch. 1 - “Duration (amount of time)” is what type of data?...Ch. 1 - The colors of the houses around the park are what...Ch. 1 - The population is ________Ch. 1 - Table 1.26 contains the total number of deaths...Ch. 1 - For the f1onwing four exercises, determine the...Ch. 1 - For the f1onwing four exercises, determine the...Ch. 1 - For the f1onwing four exercises, determine the...Ch. 1 - For the f1onwing four exercises, determine the...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following data to answer the next five...Ch. 1 - Use the following data to answer the next five...Ch. 1 - Use the following data to answer the next five...Ch. 1 - Use the following data to answer the next five...Ch. 1 - Use the following data to answer the next five...Ch. 1 - Use the following data to answer the next five...Ch. 1 - Use the following data to answer the next five...Ch. 1 - Use the following data to answer the next five...Ch. 1 - Use the following data to answer the next five...Ch. 1 - Use the following data to answer the next five...Ch. 1 - Is a sample size of 1,000 a reliable measure for a...Ch. 1 - Is a sample of 500 volunteers a reliable measure...Ch. 1 - A question on a survey reads: “Do you prefer the...Ch. 1 - Is a sample size of two representative of a...Ch. 1 - Is it possible for two experiments to be well run...Ch. 1 - What type of measure scale is being used? Nominal,...Ch. 1 - Design an experiment. Identify the explanatory and...Ch. 1 - Discuss potential violations of the rule requiring...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - Airline companies are interested in the...Ch. 1 - Suppose you want to determine the mean number of...Ch. 1 - Suppose you want to determine the mean number of...Ch. 1 - List some practical difficulties involved in...Ch. 1 - List some practical difficulties involved in...Ch. 1 - With your classmates, brainstorm some ways you...Ch. 1 - The instructor takes her sample by gathering data...Ch. 1 - A study was done to determine the age, number of...Ch. 1 - Name the sampling method used in each of the...Ch. 1 - A “random survey” was conducted of 3,2’4 people of...Ch. 1 - The Well-Being Index is a survey that follows...Ch. 1 - In advance of the 1936 Presidential Election, a...Ch. 1 - Crime-related and demographic statistics for 4 US...Ch. 1 - YouPolls is a website that allows anyone to create...Ch. 1 - A scholarly article about response rates begins...Ch. 1 - Fifty part-time students were asked how many...Ch. 1 - Sixty adults with gum disease were asked the...Ch. 1 - Nineteen immigrants to the U.S were asked how many...Ch. 1 - How much time does it take to navel to work? Table...Ch. 1 - Forbes magazine published data on the best small...Ch. 1 - Use (he following information o answer the next...Ch. 1 - Use (he following information o answer the next...Ch. 1 - How does sleep deprivation affect your ability to...Ch. 1 - An advertisement for Acme Investments displays the...Ch. 1 - The graph in Figure 1.15 shows the number of...Ch. 1 - Seven hundred and Seventy-one distance learning...Ch. 1 - Several online textbook retailers advertise that...
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