Introduction to Business Statistics
7th Edition
ISBN: 9781111792374
Author: WEIERS
Publisher: Cengage Learning
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Chapter 3.4, Problem 3.28E
To determine
(a)
To identify the approximate value of
To determine
(b)
To explain the asterisk symbol given in the graph and also explain it implications.
To determine
(c)
To explain the shape of the distribution.
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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?
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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 3 Solutions
Introduction to Business Statistics
Ch. 3.2 - Determine the mean and the median wage rate for...Ch. 3.2 - Prob. 3.2ECh. 3.2 - Erika operates a website devoted to providing...Ch. 3.2 - A social scientist for a children’s advocacy...Ch. 3.2 - Prob. 3.5ECh. 3.2 - The following is a list of closing prices for 15...Ch. 3.2 - Prob. 3.7ECh. 3.2 - According to a utility company, utility plant...Ch. 3.2 - Prob. 3.9ECh. 3.2 - An observer stands at an overpass and, for each...
Ch. 3.2 - Prob. 3.11ECh. 3.2 - Prob. 3.12ECh. 3.2 - Prob. 3.13ECh. 3.2 - Prob. 3.14ECh. 3.2 - Prob. 3.15ECh. 3.3 - Prob. 3.16ECh. 3.3 - Prob. 3.17ECh. 3.3 - Prob. 3.18ECh. 3.3 - Prob. 3.19ECh. 3.3 - For a sample of 11 employers, the most recent...Ch. 3.3 - According to the U.S. Invironrnental Protection...Ch. 3.3 - For a sample of eight apartment buildings in...Ch. 3.3 - Prob. 3.23ECh. 3.3 - Prob. 3.24ECh. 3.3 - Prob. 3.25ECh. 3.3 - Prob. 3.26ECh. 3.3 - Data file XR02028 shows the depths (in meters)...Ch. 3.4 - Prob. 3.28ECh. 3.4 - According to Chebyshev’s theorem, what percentage...Ch. 3.4 - Prob. 3.30ECh. 3.4 - Prob. 3.31ECh. 3.4 - The manufacturer of an extended-life lighthulh...Ch. 3.4 - For college-bound high school seniors from a...Ch. 3.4 - For data set A, the mean is $1235, with a standard...Ch. 3.4 - Prob. 3.35ECh. 3.4 - Prob. 3.36ECh. 3.4 - Prob. 3.37ECh. 3.4 - Prob. 3.38ECh. 3.5 - Prob. 3.39ECh. 3.5 - Prob. 3.40ECh. 3.5 - Prob. 3.41ECh. 3.6 - Prob. 3.42ECh. 3.6 - For a set of data, r2 is 0.64 and the variables x...Ch. 3.6 - Prob. 3.44ECh. 3.6 - Prob. 3.45ECh. 3.6 - Prob. 3.46ECh. 3.6 - Prob. 3.47ECh. 3 - The first seven ustomers of the day at a small...Ch. 3 - A dental supplies distributor ships a customer 50...Ch. 3 - The 2007 top-grossing feature film was Spiderman...Ch. 3 - Prob. 3.51CECh. 3 - Prob. 3.52CECh. 3 - Prob. 3.53CECh. 3 - Prob. 3.54CECh. 3 - Prob. 3.55CECh. 3 - Prob. 3.56CECh. 3 - A quality control supervisor has taken a sample of...Ch. 3 - Prob. 3.58CECh. 3 - Prob. 3.59CECh. 3 - A law enforcement agency, administering...Ch. 3 - Prob. 3.61CECh. 3 - Prob. 3.62CECh. 3 - Prob. 3.63CECh. 3 - Prob. 3.64CECh. 3 - According to the Energy Information...Ch. 3 - Bride’s magazine reports the cost of the average...Ch. 3 - Prob. 3.67CECh. 3 - Prob. 3.68CECh. 3 - Prob. 3.69CE
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