Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Chapter 9.4, Problem 72E
Explain why considering outliers is important when you are conducting a one-
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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 9 Solutions
Introductory Statistics (10th Edition)
Ch. 9.1 - Explain the meaning of the term hypothesis as used...Ch. 9.1 - Regarding the term null hypothesis: a. Originally,...Ch. 9.1 - What role does the decision criterion play in a...Ch. 9.1 - Suppose that you want to perform a hypothesis test...Ch. 9.1 - Suppose that you are considering a hypothesis test...Ch. 9.1 - Suppose that, in a hypothesis test, the null...Ch. 9.1 - Suppose that, in a hypothesis test, the null...Ch. 9.1 - What is the relation between the significance...Ch. 9.1 - Answer true or false and explain your answer: If...Ch. 9.1 - Answer true or false and explain your answer: For...
Ch. 9.1 - Identify the two types of incorrect decisions in a...Ch. 9.1 - Suppose that a hypothesis test is performed at a...Ch. 9.1 - Approving Nuclear Reactors. Suppose that you are...Ch. 9.1 - Guilty or Innocent? In the U.S. court system, a...Ch. 9.1 - In Exercises 9.159.22, hypothesis tests are...Ch. 9.1 - In Exercises 9.159.22, hypothesis tests are...Ch. 9.1 - In Exercises 9.159.22, hypothesis tests are...Ch. 9.1 - In Exercises 9.159.22, hypothesis tests are...Ch. 9.1 - In Exercises 9.159.22, hypothesis tests are...Ch. 9.1 - In Exercises 9.159.22, hypothesis tests are...Ch. 9.1 - In Exercises 9.159.22, hypothesis tests are...Ch. 9.1 - In Exercises 9.159.22, hypothesis tests are...Ch. 9.1 - Toxic Mushrooms? Refer to Exercise 9.15. Explain...Ch. 9.1 - 9,24 Grey-Seal Nursing. Refer to Exercise 9-16....Ch. 9.1 - Iron Deficiency? Refer to Exercise 9.17. Explain...Ch. 9.1 - Early-Onset Dementia. Refer to Exercise 9.18....Ch. 9.1 - Serving Time. Refer to Exercise 9,19. Explain what...Ch. 9.1 - Worker Fatigue. Refer to Exercise 9.20. Explain...Ch. 9.1 - Body Temperature. Refer to Exercise 9.21. Explain...Ch. 9.1 - Teacher Salaries. Refer to Exercise 9.22. Explain...Ch. 9.2 - In each of Exercises 9.31-9.34, define the term...Ch. 9.2 - In each of Exercises 9.319.34, define the term...Ch. 9.2 - In each of Exercises 9.319.34, define the term...Ch. 9.2 - In each of Exercises 9.319.34, define the term...Ch. 9.2 - Exercises 9.359.40 contain graphs portraying the...Ch. 9.2 - Exercises 9.359.40 contain graphs portraying the...Ch. 9.2 - Exercises 9.359.40 contain graphs portraying the...Ch. 9.2 - Exercises 9.359.40 contain graphs portraying the...Ch. 9.2 - Exercises 9.359.40 contain graphs portraying the...Ch. 9.2 - Exercises 9.359.40 contain graphs portraying the...Ch. 9.2 - In each of Exercises 9.419.46, determine the...Ch. 9.2 - In each of Exercises 9.419.46, determine the...Ch. 9.2 - In each of Exercises 9.419.46, determine the...Ch. 9.2 - In each of Exercises 9.419.46, determine the...Ch. 9.2 - In each of Exercises 9.419.46, determine the...Ch. 9.2 - In each of Exercises 9.419.46, determine the...Ch. 9.3 - State two reasons why including the P-value is...Ch. 9.3 - What is the P-value of a hypothesis test? When...Ch. 9.3 - Explain how the P-value is obtained for a one-mean...Ch. 9.3 - True or false: The P-value is the smallest...Ch. 9.3 - The P-value for a hypothesis test is 0.06. For...Ch. 9.3 - The P-value for a hypothesis test is 0.083. For...Ch. 9.3 - Which provides stronger evidence against the null...Ch. 9.3 - Which provides stronger evidence against the null...Ch. 9.3 - In each of Exercises 9.559.62, we have given the...Ch. 9.3 - In each of Exercises 9.559.62, we have given the...Ch. 9.3 - In each of Exercises 9.559.62, we have given the...Ch. 9.3 - In each of Exercises 9.559.62, we have given the...Ch. 9.3 - Prob. 59ECh. 9.3 - Prob. 60ECh. 9.3 - Prob. 61ECh. 9.3 - Prob. 62ECh. 9.3 - In Exercises 9.639.68, we have given the value...Ch. 9.3 - In Exercises 9.639.68, we have given the value...Ch. 9.3 - In Exercises 9.639.68, we have given the value...Ch. 9.3 - In Exercises 9.639.68, we have given the value...Ch. 9.3 - In Exercises 9.63-9.68, we have given the value...Ch. 9.3 - In Exercises 9.639.68, we have given the value...Ch. 9.3 - Consider a one-mean z-test. Denote z0 as the...Ch. 9.3 - Prob. 70ECh. 9.3 - Obtaining the P-value. Let x denote the test...Ch. 9.4 - Explain why considering outliers is important when...Ch. 9.4 - Prob. 73ECh. 9.4 - Prob. 74ECh. 9.4 - Prob. 75ECh. 9.4 - Prob. 76ECh. 9.4 - Prob. 77ECh. 9.4 - Prob. 78ECh. 9.4 - Prob. 79ECh. 9.4 - Prob. 80ECh. 9.4 - Prob. 81ECh. 9.4 - Prob. 82ECh. 9.4 - Preliminary data analyses indicate that applying...Ch. 9.4 - Preliminary data analyses indicate that applying...Ch. 9.4 - Preliminary data analyses indicate that applying...Ch. 9.4 - Preliminary data analyses indicate that applying...Ch. 9.4 - Preliminary data analyses indicate that applying...Ch. 9.4 - Preliminary data analyses indicate that applying...Ch. 9.4 - Job Gains and Losses. In the article Business...Ch. 9.4 - Hotels and Motels. The daily charges, in dollars,...Ch. 9.4 - Body Temperature. A study by researchers at the...Ch. 9.4 - Teacher Salaries. Data on salaries in the public...Ch. 9.4 - Cell Phones. The number of cell phone users has...Ch. 9.4 - Prob. 95ECh. 9.4 - Left-Tailed Hypothesis Tests and CIs. In Exercise...Ch. 9.4 - Prob. 97ECh. 9.5 - What is the difference in assumptions between the...Ch. 9.5 - Suppose that you want to perform a hypothesis test...Ch. 9.5 - Fill in the following blanks. a. The t-test is...Ch. 9.5 - Exercises 9.1019.106 pertain to P-values for a...Ch. 9.5 - Exercises 9.1019.106 pertain to P-values for a...Ch. 9.5 - Exercises 9.1019.106 pertain to P-values for a...Ch. 9.5 - Exercises 9.1019.106 pertain to P-values for a...Ch. 9.5 - Exercises 9.1019.106 pertain to P-values for a...Ch. 9.5 - Exercises 9.1019.106 pertain to P-values for a...Ch. 9.5 - In each of Exercises 9.1079.112, we have provided...Ch. 9.5 - In each of Exercises 9.1079.112, we have provided...Ch. 9.5 - In each of Exercises 9.1079.112, we have provided...Ch. 9.5 - In each of Exercises 9.1079.112, we have provided...Ch. 9.5 - Prob. 111ECh. 9.5 - Prob. 112ECh. 9.5 - Preliminary data analyses indicate that you can...Ch. 9.5 - Preliminary data analyses indicate that you can...Ch. 9.5 - Preliminary data analyses indicate that you can...Ch. 9.5 - Preliminary data analyses indicate that you can...Ch. 9.5 - Preliminary data analyses indicate that you can...Ch. 9.5 - Prob. 118ECh. 9.5 - In each of Exercises 9.119-9.122, use the...Ch. 9.5 - In each of Exercises 9.119-9.122, use the...Ch. 9.5 - Prob. 121ECh. 9.5 - Prob. 122ECh. 9.5 - Stressed-Out Bus Drivers. Previous studies have...Ch. 9.5 - Prob. 124ECh. 9.5 - Prob. 125ECh. 9.5 - Two-Tailed Hypothesis Tests and CIs. The following...Ch. 9.5 - Left-Tailed Hypothesis Tests and CIs. In Exercise...Ch. 9.5 - Prob. 128ECh. 9.6 - Technically, what is a nonparametric method? In...Ch. 9.6 - Prob. 130ECh. 9.6 - Prob. 131ECh. 9.6 - Prob. 132ECh. 9.6 - Prob. 133ECh. 9.6 - Prob. 134ECh. 9.6 - Prob. 135ECh. 9.6 - Prob. 136ECh. 9.6 - Prob. 137ECh. 9.6 - Prob. 138ECh. 9.6 - Prob. 139ECh. 9.6 - Prob. 140ECh. 9.6 - Prob. 141ECh. 9.6 - Prob. 142ECh. 9.6 - Prob. 143ECh. 9.6 - Prob. 144ECh. 9.6 - Prob. 145ECh. 9.6 - Prob. 146ECh. 9.6 - Prob. 147ECh. 9.6 - Prob. 148ECh. 9.6 - Prob. 149ECh. 9.6 - Prob. 150ECh. 9.6 - Prob. 151ECh. 9.6 - Prob. 152ECh. 9.6 - Prob. 153ECh. 9.6 - In each of Exercises 9.149-9.154, use the Wilcoxon...Ch. 9.6 - Prob. 155ECh. 9.6 - Prob. 156ECh. 9.6 - Prob. 157ECh. 9.6 - Prob. 158ECh. 9.6 - Prob. 159ECh. 9.6 - Prob. 160ECh. 9.6 - Delaying Adulthood. The convict surgeonfish is a...Ch. 9.6 - Prob. 162ECh. 9.6 - Prob. 163ECh. 9.6 - Prob. 164ECh. 9.6 - Prob. 165ECh. 9.6 - Prob. 166ECh. 9.6 - Prob. 167ECh. 9.6 - Prob. 168ECh. 9.6 - Assuming that the null hypothesis H0: = 0 is...Ch. 9.6 - Prob. 170ECh. 9.6 - Prob. 171ECh. 9.6 - Prob. 172ECh. 9.6 - Prob. 173ECh. 9.6 - Prob. 174ECh. 9.6 - Prob. 175ECh. 9.6 - In Exercises 9.173-9.178, a. apply the sign test...Ch. 9.6 - Prob. 177ECh. 9.6 - Prob. 178ECh. 9.7 - Why don't hypothesis tests always yield correct...Ch. 9.7 - Define each term. a. Type I error b. Type II error...Ch. 9.7 - Explain the meaning of each of the following in...Ch. 9.7 - What does the power of a hypothesis test tell you?...Ch. 9.7 - Why is it useful to obtain the power curve for a...Ch. 9.7 - What happens to the power of a hypothesis test if...Ch. 9.7 - Prob. 185ECh. 9.7 - Prob. 186ECh. 9.7 - Prob. 187ECh. 9.7 - Prob. 188ECh. 9.7 - Prob. 189ECh. 9.7 - Prob. 190ECh. 9.7 - Prob. 191ECh. 9.7 - In Exercises 9.1919.196, we have given a...Ch. 9.7 - In Exercises 9.1919.196, we have given a...Ch. 9.7 - Prob. 194ECh. 9.7 - Prob. 195ECh. 9.7 - Prob. 196ECh. 9.7 - Prob. 197ECh. 9.7 - Grey-Seal Nursing. Repeat parts (a)(c) of Exercise...Ch. 9.7 - Prob. 199ECh. 9.7 - Early-Onset Dementia. Repeat parts (a)(c) of...Ch. 9 - Explain the meaning of each term. a. null...Ch. 9 - The following statement appeared on a box of Tide...Ch. 9 - Regarding a hypothesis test: a. What is the...Ch. 9 - There are three possible alternative hypotheses in...Ch. 9 - Two types of incorrect decisions can be made in a...Ch. 9 - For a fixed sample size, what happens to the...Ch. 9 - Problems 7-12 pertain to the critical-value...Ch. 9 - Problems 7-12 pertain to the critical-value...Ch. 9 - Problems 7-12 pertain to the critical-value...Ch. 9 - Problems 7-12 pertain to the critical-value...Ch. 9 - Problems 7-12 pertain to the critical-value...Ch. 9 - Problems 7-12 pertain to the critical-value...Ch. 9 - Problems 13-20 pertain to the P-value approach to...Ch. 9 - Problems 13-20 pertain to the P-value approach to...Ch. 9 - Problems 13-20 pertain to the P-value approach to...Ch. 9 - Problems 13-20 pertain to the P-value approach to...Ch. 9 - Problems 13-20 pertain to the P-value approach to...Ch. 9 - Problems 13-20 pertain to the P-value approach to...Ch. 9 - State the general steps of the P-value approach to...Ch. 9 - Assess the evidence against the null hypothesis if...Ch. 9 - What is meant when we say that a hypothesis test...Ch. 9 - Discuss the difference between statistical...Ch. 9 - Prob. 23RPCh. 9 - Identify two advantages of nonparametric methods...Ch. 9 - Regarding the power of a hypothesis test: a. What...Ch. 9 - Cheese Consumption. The U.S. Department of...Ch. 9 - Cheese Consumption. The null and alternative...Ch. 9 - Prob. 28RPCh. 9 - Prob. 29RPCh. 9 - Prob. 30RPCh. 9 - Prob. 31RPCh. 9 - Betting the Spreads. College basketball, and...Ch. 9 - Prob. 33RPCh. 9 - Prob. 34RPCh. 9 - Problems 34 and 35 each include a normal...Ch. 9 - Prob. 36RPCh. 9 - Prob. 37RPCh. 9 - Prob. 38RPCh. 9 - Prob. 39RPCh. 9 - Body Mass Index. Body mass index (BMI) is a...Ch. 9 - Prob. 41RPCh. 9 - Prob. 1FDACh. 9 - At the beginning of this chapter, we discussed...
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