Intro Stats
4th Edition
ISBN: 9780321825278
Author: Richard D. De Veaux, Paul F. Velleman, David E. Bock
Publisher: PEARSON
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Chapter 4, Problem 37E
a.
To determine
Estimate the
b.
To determine
Estimate the
c.
To determine
Estimate the
d.
To determine
Draw the box plot for the given information.
e.
To determine
Describe the features of the data set of Kentucky Derby winners.
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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 4 Solutions
Intro Stats
Ch. 4.2 - The Bureau of Transportation Statistics of the...Ch. 4.2 - The Bureau of Transportation Statistics of the...Ch. 4.2 - Prob. 3JCCh. 4 - Prob. 1ECh. 4 - Prob. 2ECh. 4 - Prob. 3ECh. 4 - 4. Load factors by year Here is a display of the...Ch. 4 - Prob. 5ECh. 4 - Prob. 6ECh. 4 - Prob. 7E
Ch. 4 - Prob. 8ECh. 4 - Prob. 9ECh. 4 - Exoplanets re-expressed Here are the exoplanet...Ch. 4 - Prob. 15ECh. 4 - Prob. 16ECh. 4 - Prob. 17ECh. 4 - Prob. 18ECh. 4 - Sugar in cereals Sugar is a major ingredient in...Ch. 4 - Tendon transfers People with spinal cord injuries...Ch. 4 - Prob. 21ECh. 4 - Camp sites Shown below are the histogram and...Ch. 4 - Hospital stays The U.S. National Center for Health...Ch. 4 - Prob. 24ECh. 4 - Womens basketball Here are boxplots of the points...Ch. 4 - Prob. 26ECh. 4 - Marriage age In 1975, did men and women marry at...Ch. 4 - Fuel economy and cylinders Describe what these...Ch. 4 - Prob. 29ECh. 4 - Ozone Ozone levels (in parts per billion, ppb)...Ch. 4 - Test scores Three statistics classes all took the...Ch. 4 - Prob. 32ECh. 4 - Graduation? A survey of major universities asked...Ch. 4 - Vineyards Here are summary statistics for the...Ch. 4 - Caffeine A student study of the effects of...Ch. 4 - SAT scores Here are the summary statistics for...Ch. 4 - Prob. 37ECh. 4 - Framingham cholesterol The Framingham Heart Study...Ch. 4 - Prob. 39ECh. 4 - Cloud seeding In an experiment to determine...Ch. 4 - Industrial experiment Engineers at a computer...Ch. 4 - Cholesterol and smoking A study that examined the...Ch. 4 - Prob. 43ECh. 4 - Prob. 44ECh. 4 - Prob. 45ECh. 4 - Prob. 46ECh. 4 - Assets Here is a histogram of the assets (in...Ch. 4 - Prob. 48ECh. 4 - Assets again Here are the same data you saw in...Ch. 4 - Rainmakers The table lists the amounts of rainfall...Ch. 4 - Stereograms Stereograms appear to be composed...Ch. 4 - Stereograms, revisited Because of the skewness of...
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