Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Textbook Question
Chapter 9.4, Problem 85E
Preliminary data analyses indicate that applying the z-test (Procedure 9.1 on page 388) in Exercises 9.83–9.88 is reasonable.
9.85 Iron Deficiency? Iron is essential to most life forms and to normal human physiology. It is an integral part of many proteins and enzymes that maintain good health. Recommendations for iron are provided in Dietary Reference Intakes, developed by the Institute of Medicine of the National Academy of Sciences. The recommended dietary allowance (RDA) of iron for adult females under the age of 51 is 18 milligrams (mg) per day. The following iron intakes, in milligrams, were obtained during a 24-hour period for 45 randomly selected adult females under the age of 51.
At the 1% significance level do the data suggest that adult females under the age of 51 are, on average, getting less than the RDA of 18 mg of iron? Assume that the population standard deviation is 4.2 mg.
(Note: x = 14.68 mg.)
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9.85 Iron Deficiency? Iron is essential to most life forms and to
normal human physiology. It is an integral part of many proteins and
enzymes that maintain good health. Recommendations for iron are
provided in Dietary Reference Intakes, developed by the Institute of
Medicine of the National Academy of Sciences. The recommended
dietary allowance (RDA) of iron for adult females under the age
of 51 is 18 milligrams (mg) per day. The following iron intakes, in
milligrams, were obtained during a 24-hour period for 45 randomly
selected adult females under the age of 51.
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19.8 11.6 12.8 15.6 11.0
14.5
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11.5
16.4
12.5
13,1
10.7
12.1
17.3
12.4
16.3 14.7 12.7 16.3
11.5
=
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14.4
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19.5 18.3
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At the 1% significance level, do the data suggest that adult females un-
der the age of 51 are, on average, getting less than the RDA of 18 mg
of iron? Assume that the population standard deviation is…
4.72 Refer to Exercise 4.70. An honor society wishes to invite those scoring in the top 5% on
the College Boards to join their society.
Rofeso nce
a. What score is required to be invited to join the society?
b. What score separates the top 75% of the population from the bottom 25%? What
do we call this value?
The article cited in Exercise 4 also investigated the effects of the factors on glucose
consumption (in g/L). A single measurement is provided for each combination of factors (in
the article, there was some replication). The results are presented in the following table.
Glucose Consumption
68.0
-1
-1
-1
-1
-1
77.5
-1
-1
98.0
1.
1.
-1
98.0
-1
-1
74.0
-1
77.0
-1
97.0
98.0
Compute estimates of the main effects and the interactions.
a.
Is it possible to compute an error sum of squares? Explain.
Are any of the interactions among the larger effects? If so, which ones?
d. Assume that it is known from past experience that the additive model holds. Add the
sums of squares for the interactions, and use that result in place of an error sum of
squares to test the hypotheses that the main effects are equal to 0.
Ъ.
C.
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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