Understandable Statistics: Concepts and Methods
12th Edition
ISBN: 9781337119917
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 6.1, Problem 12P
Control Charts: Yellowstone National Park Yellowstone Park Medical Services (YPMS) provides emergency health care for park visitors. Such health care includes treatment for everything from indigestion and sunburn to more serious injuries. A recent issue of Yellowstone Today (National Park Service Publication) indicated that the average number of visitors treated each day by YPMS is 21.7. The estimated standard deviation is 4.2 (summer data). The distribution of numbers treated is approximately mound-shaped and symmetric.
- (a) For a 10-day summer period, the following data show the number of visitors treated each day by YPMS:
Make a control chart for the daily number of visitors treated by YPMS, and plot the data on the control chart. Do the data indicate that the number of visitors treated by YPMS is “in control”? Explain your answer.
- (b) For another 10-day summer period, the following data were obtained:
Make a control chart, and plot the data on the chart. Interpretation Do the data indicate that the number of visitors treated by YPMS is “in control” or “out of control”? Explain your answer. Identify all out-of-control signals by type (I, II, or III). If you were the park superintendent, do you think YPMS might need some (temporary) extra help? Explain.
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For unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of
months unemployed and the values in the second column show the corresponding number of unemployed persons.
Months
Unemployed
Number
Unemployed
1
1029
2
1686
3
2269
4
2675
5
3487
6
4652
7
4145
8
3587
9
2325
10
1120
Let x be a random variable indicating the number of months a person is unemployed.
a. Use the data to develop an empirical discrete probability distribution for x (to 4 decimals).
(x)
f(x)
1
2
3
4
5
6
7
8
9
10
b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution.
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
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c. What is the probability that a…
West Virginia has one of the highest divorce rates in the nation, with an annual rate of approximately 5 divorces per 1000 people (Centers for Disease Control and Prevention website, January 12, 2012). The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state may require them to hire additional staff.
Working with a consultant, the management of MCC has developed the following probability distribution for x = the number of new clients for marriage counseling for the next year.
Excel File: data05-19.xls
x
10
f(x)
.05
20
30
.10
.10
40
.20
50
60
.35
.20
a. Is this probability distribution valid?
- Select your answer-
Explain.
f(x)
Σf(x)
Select your answer
Select your answer
b. What is the probability MCC will obtain more than 30 new clients (to 2 decimals)?
c. What is the probability MCC will obtain fewer than 20 new clients (to 2 decimals)?
d. Compute the expected value and variance of x.
Expected value
Variance
clients per year
squared clients per year
Chapter 6 Solutions
Understandable Statistics: Concepts and Methods
Ch. 6.1 - Statistical Literacy Which, if any, of the curves...Ch. 6.1 - Statistical Literacy Look at the normal curve in...Ch. 6.1 - Prob. 3PCh. 6.1 - Critical Thinking Sketch a normal curve (a) with...Ch. 6.1 - Basic Computation: Empirical Rule What percentage...Ch. 6.1 - Basic Computation: Empirical Rule What percentage...Ch. 6.1 - Distribution: Heights of Coeds Assuming that the...Ch. 6.1 - Distribution: Rhode Island Red Chicks The...Ch. 6.1 - Archaeology: Tree Rings At Burnt Mesa Pueblo,...Ch. 6.1 - Vending Machine: Soft Drinks A vending machine...
Ch. 6.1 - Pain Management: Laser Therapy Effect of...Ch. 6.1 - Control Charts: Yellowstone National Park...Ch. 6.1 - Control Charts: Bank Loans Tri-County Bank is a...Ch. 6.1 - Control Charts: Motel Rooms The manager of Motel...Ch. 6.1 - Prob. 15PCh. 6.1 - Prob. 16PCh. 6.1 - Uniform Distribution: Measurement Errors...Ch. 6.1 - Prob. 18PCh. 6.1 - Prob. 19PCh. 6.1 - Prob. 20PCh. 6.2 - Statistical Literacy What does a standard score...Ch. 6.2 - Statistical Literacy Does a raw score less than...Ch. 6.2 - Prob. 3PCh. 6.2 - Prob. 4PCh. 6.2 - Basic Computation: z Score and Raw Score A normal...Ch. 6.2 - Basic Computation: z Score and Raw Score A normal...Ch. 6.2 - Prob. 7PCh. 6.2 - Prob. 8PCh. 6.2 - z Scores: First Aid Course The college physical...Ch. 6.2 - Prob. 10PCh. 6.2 - Prob. 11PCh. 6.2 - Normal Curve: Tree Rings Tree-ring dates were used...Ch. 6.2 - Basic Computation: Finding Areas Under the...Ch. 6.2 - Prob. 14PCh. 6.2 - Basic Computation: Finding Areas Under the...Ch. 6.2 - Prob. 16PCh. 6.2 - Prob. 17PCh. 6.2 - Prob. 18PCh. 6.2 - Prob. 19PCh. 6.2 - Basic Computation: Finding Areas Under the...Ch. 6.2 - Prob. 21PCh. 6.2 - Prob. 22PCh. 6.2 - Prob. 23PCh. 6.2 - Prob. 24PCh. 6.2 - Prob. 25PCh. 6.2 - Prob. 26PCh. 6.2 - Prob. 27PCh. 6.2 - Prob. 28PCh. 6.2 - Prob. 29PCh. 6.2 - Basic Computation: Finding Areas Under the...Ch. 6.2 - Prob. 31PCh. 6.2 - Prob. 32PCh. 6.2 - Basic Computation: Finding Probabilities In...Ch. 6.2 - Prob. 34PCh. 6.2 - Prob. 35PCh. 6.2 - Prob. 36PCh. 6.2 - Prob. 37PCh. 6.2 - Basic Computation: Finding Probabilities In...Ch. 6.2 - Prob. 39PCh. 6.2 - Prob. 40PCh. 6.2 - Prob. 41PCh. 6.2 - Prob. 42PCh. 6.2 - Basic Computation: Finding Probabilities In...Ch. 6.2 - Prob. 44PCh. 6.2 - Basic Computation: Finding Probabilities In...Ch. 6.2 - Prob. 46PCh. 6.2 - Prob. 47PCh. 6.2 - Basic Computation: Finding Probabilities In...Ch. 6.2 - Prob. 49PCh. 6.2 - Prob. 50PCh. 6.3 - Statistical Literacy Consider a normal...Ch. 6.3 - Statistical Literacy Suppose 5% of the area under...Ch. 6.3 - Prob. 3PCh. 6.3 - Critical Thinking: Normality Consider the...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find z Values In Problems 1524,...Ch. 6.3 - Basic Computation: Find z Values In Problems 1524,...Ch. 6.3 - Basic Computation: Find z Values In Problems 1524,...Ch. 6.3 - Basic Computation: Find z Values In Problems 1524,...Ch. 6.3 - Basic Computation: Find z Values In Problems 1524,...Ch. 6.3 - Prob. 20PCh. 6.3 - Prob. 21PCh. 6.3 - Basic Computation: Find z Values In Problems 1524,...Ch. 6.3 - Prob. 23PCh. 6.3 - Prob. 24PCh. 6.3 - Prob. 25PCh. 6.3 - Prob. 26PCh. 6.3 - Archaeology: Hopi Village Thickness measurements...Ch. 6.3 - Law Enforcement: Police Response Time Police...Ch. 6.3 - Prob. 29PCh. 6.3 - Guarantee: Watches Accrotime is a manufacturer of...Ch. 6.3 - Expand Your Knowledge: Estimating the Standard...Ch. 6.3 - Estimating the Standard Deviation: Refrigerator...Ch. 6.3 - Prob. 33PCh. 6.3 - Prob. 34PCh. 6.3 - Insurance: Satellites A relay microchip in a...Ch. 6.3 - Convertion Center: Exhibition Show Attendance...Ch. 6.3 - Exhibition Shows: Inverse Normal Distribution Most...Ch. 6.3 - Budget: Maintenance The amount of money spent...Ch. 6.3 - Prob. 39PCh. 6.3 - Prob. 40PCh. 6.4 - Prob. 1PCh. 6.4 - Prob. 2PCh. 6.4 - Prob. 3PCh. 6.4 - Prob. 4PCh. 6.4 - Prob. 5PCh. 6.4 - Prob. 6PCh. 6.4 - Prob. 7PCh. 6.4 - Prob. 8PCh. 6.4 - Prob. 9PCh. 6.5 - Statistical Literacy What is the standard error of...Ch. 6.5 - Prob. 2PCh. 6.5 - Prob. 3PCh. 6.5 - Prob. 4PCh. 6.5 - Basic Computation: Central Limit Theorem Suppose x...Ch. 6.5 - Basic Computation: Central Limit Theorem Suppose x...Ch. 6.5 - Prob. 7PCh. 6.5 - Prob. 8PCh. 6.5 - Prob. 9PCh. 6.5 - Prob. 10PCh. 6.5 - Prob. 11PCh. 6.5 - Critical Thinking Suppose an x distribution has...Ch. 6.5 - Prob. 13PCh. 6.5 - Vital Statistics: Heights of Men The heights of...Ch. 6.5 - Prob. 15PCh. 6.5 - Medical: White Blood Cells Let x be a random...Ch. 6.5 - Wildlife: Deer Let x be a random variable that...Ch. 6.5 - Focus Problem: Impulse Buying Let x represent the...Ch. 6.5 - Finance: Templeton Funds Templeton World is a...Ch. 6.5 - Finance: European Growth Fund A European growth...Ch. 6.5 - Expand Your Knowledge: Totals Instead of Averages...Ch. 6.5 - Prob. 22PCh. 6.5 - Prob. 23PCh. 6.6 - Prob. 1PCh. 6.6 - Prob. 2PCh. 6.6 - Basic Computation: Normal Approximation to a...Ch. 6.6 - Basic Computation: Normal Approximation to a...Ch. 6.6 - Critical Thinking You need to compute the...Ch. 6.6 - Critical Thinking Consider a binomial experiment...Ch. 6.6 - In the following problems, check that it is...Ch. 6.6 - In the following problems, check that it is...Ch. 6.6 - Prob. 9PCh. 6.6 - Prob. 10PCh. 6.6 - Prob. 11PCh. 6.6 - Prob. 12PCh. 6.6 - Prob. 13PCh. 6.6 - In the following problems, check that it is...Ch. 6.6 - Prob. 15PCh. 6.6 - Prob. 17PCh. 6.6 - Prob. 18PCh. 6.6 - Prob. 19PCh. 6.6 - Basic Computation: p Distribution Suppose we have...Ch. 6.6 - Prob. 21PCh. 6 - Prob. 1CRPCh. 6 - Prob. 2CRPCh. 6 - Statistical Literacy Is a process in control if...Ch. 6 - Prob. 4CRPCh. 6 - Prob. 5CRPCh. 6 - Prob. 6CRPCh. 6 - Prob. 7CRPCh. 6 - Prob. 8CRPCh. 6 - Prob. 9CRPCh. 6 - Prob. 10CRPCh. 6 - Prob. 11CRPCh. 6 - Basic Computation: Probability Given that x is a...Ch. 6 - Prob. 13CRPCh. 6 - Prob. 14CRPCh. 6 - Prob. 15CRPCh. 6 - Prob. 16CRPCh. 6 - Prob. 17CRPCh. 6 - Prob. 18CRPCh. 6 - Prob. 19CRPCh. 6 - Prob. 20CRPCh. 6 - Prob. 21CRPCh. 6 - Prob. 22CRPCh. 6 - Prob. 23CRPCh. 6 - Prob. 24CRPCh. 6 - Prob. 25CRPCh. 6 - Prob. 26CRPCh. 6 - Break into small groups and discuss the following...Ch. 6 - Prob. 1LCCh. 6 - Prob. 2LCCh. 6 - Prob. 3LCCh. 6 - Prob. 4LCCh. 6 - Discuss each of the following topics in class or...Ch. 6 - Prob. 1UTCh. 6 - Prob. 1CURPCh. 6 - Prob. 2CURPCh. 6 - Prob. 3CURPCh. 6 - Prob. 4CURPCh. 6 - Prob. 5CURPCh. 6 - Prob. 6CURPCh. 6 - Prob. 7CURPCh. 6 - Prob. 8CURPCh. 6 - Prob. 9CURPCh. 6 - Prob. 10CURPCh. 6 - Prob. 11CURPCh. 6 - Prob. 12CURPCh. 6 - Prob. 13CURPCh. 6 - Prob. 14CURPCh. 6 - Prob. 15CURP
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