Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Textbook Question
Chapter 10.1, Problem 8E
Coffee A researcher claims that the numbers of cups of coffee U.S. adults drink per day are distributed as shown in the figure. You randomly select 1600 U.S. adults and ask them how many cups of coffee they drink per day. The table shows the results. At α = 0.05, test the researcher’s claim. (Source Gallup)
| Survey results | |
| Response | Frequency, f |
| 0 cups | 570 |
| 1 cup | 432 |
| 2 cups | 282 |
| 3 cups | 152 |
| 4 or more cups | 164 |
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Students have asked these similar questions
(a) Test the hypothesis.
Consider the hypothesis test Ho
=
:
against H₁o < 02. Suppose that the sample sizes aren₁ =
7 and n₂
= 13 and that
$²
= 22.4 and $22
= 28.2. Use α = 0.05.
Ho
is not
✓ rejected.
9-9
IV
(b) Find a 95% confidence interval on of 102. Round your answer to two decimal places (e.g. 98.76).
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a
university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when
examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both
sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force
for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known.
Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null
hypothesis, 40 = 0. What level of type II error would you recommend here?
Round your answer to four decimal places (e.g. 98.7654). Use a
= 0.05.
β
= i
What sample size would be required?
Assume the sample sizes are to be equal.…
=
Consider the hypothesis test Ho: μ₁ = μ₂ against H₁ μ₁ μ2. Suppose that sample sizes are n₁ =
15 and n₂ =
15, that x1 = 4.7
and X2 = 7.8 and that s² = 4 and s² = 6.26. Assume that o and that the data are drawn from normal distributions. Use
απ 0.05.
(a) Test the hypothesis and find the P-value.
(b) What is the power of the test in part (a) for a true difference in means of 3?
(c) Assuming equal sample sizes, what sample size should be used to obtain ẞ = 0.05 if the true difference in means is - 2? Assume
that α = 0.05.
(a) The null hypothesis is
98.7654).
rejected. The P-value is 0.0008
(b) The power is 0.94
. Round your answer to four decimal places (e.g.
Round your answer to two decimal places (e.g. 98.76).
(c) n₁ = n2 =
1
. Round your answer to the nearest integer.
Chapter 10 Solutions
Elementary Statistics: Picturing the World (7th Edition)
Ch. 10.1 - The tax preparation company in Example 1 decides...Ch. 10.1 - Prob. 2TYCh. 10.1 - Prob. 3TYCh. 10.1 - What is a multinomial experiment?Ch. 10.1 - What conditions are necessary to use the...Ch. 10.1 - Finding Expected Frequencies In Exercises 36, find...Ch. 10.1 - Finding Expected Frequencies In Exercises 36, find...Ch. 10.1 - Finding Expected Frequencies In Exercises 36, find...Ch. 10.1 - Finding Expected Frequencies In Exercises 36, find...Ch. 10.1 - Using and Interpreting Concepts Performing a...
Ch. 10.1 - Coffee A researcher claims that the numbers of...Ch. 10.1 - Performing a Chi-Square Goodness-of-Fit Test In...Ch. 10.1 - Performing a Chi-Square Goodness-of-Fit Test In...Ch. 10.1 - Performing a Chi-Square Goodness-of-Fit Test In...Ch. 10.1 - Performing a Chi-Square Goodness-of-Fit Test In...Ch. 10.1 - Performing a Chi-Square Goodness-of-Fit Test In...Ch. 10.1 - Performing a Chi-Square Goodness-of-Fit Test In...Ch. 10.1 - Performing a Chi-Square Goodness-of-Fit Test In...Ch. 10.1 - Performing a Chi-Square Goodness-of-Fit Test In...Ch. 10.1 - In Exercises 17 and 18, (a) find the expected...Ch. 10.1 - In Exercises 17 and 18, (a) find the expected...Ch. 10.2 - The marketing consultant for a travel agency wants...Ch. 10.2 - Prob. 2TYCh. 10.2 - Prob. 3TYCh. 10.2 - Prob. 1ECh. 10.2 - Explain the difference between marginal...Ch. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - True or False? In Exercises 5 and 6, determine...Ch. 10.2 - Finding Expected Frequencies In Exercises 712, (a)...Ch. 10.2 - Finding Expected Frequencies In Exercises 712, (a)...Ch. 10.2 - Prob. 9ECh. 10.2 - Prob. 10ECh. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - Performing a Chi-Square Independence Test In...Ch. 10.2 - Prob. 14ECh. 10.2 - Performing a Chi-Square Independence Test In...Ch. 10.2 - Performing a Chi-Square Independence Test In...Ch. 10.2 - Performing a Chi-Square Independence Test In...Ch. 10.2 - Performing a Chi-Square Independence Test In...Ch. 10.2 - Prob. 19ECh. 10.2 - Performing a Chi-Square Independence Test In...Ch. 10.2 - Prob. 21ECh. 10.2 - Performing a Chi-Square Independence Test In...Ch. 10.2 - Performing a Chi-Square Independence Test In...Ch. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - Prob. 28ECh. 10.2 - Motor Vehicle Crash Deaths The contingency table...Ch. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 - Prob. 33ECh. 10.2 - Prob. 34ECh. 10.2 - Prob. 35ECh. 10.2 - Contingency Tables and Relative Frequencies In...Ch. 10.2 - Prob. 37ECh. 10.2 - Prob. 38ECh. 10.2 - Prob. 39ECh. 10.2 - Conditional Relative Frequencies In Exercises...Ch. 10.2 - Conditional Relative Frequencies In Exercises...Ch. 10.2 - Prob. 42ECh. 10.2 - In your opinion, how safe is the food you buy? CBS...Ch. 10.2 - In your opinion, how safe is the food you buy? CBS...Ch. 10.2 - In your opinion, how safe is the food you buy? CBS...Ch. 10.2 - In your opinion, how safe is the food you buy? CBS...Ch. 10.2 - In your opinion, how safe is the food you buy? CBS...Ch. 10.2 - In your opinion, how safe is the food you buy? CBS...Ch. 10.3 - Find the critical F-value for a right-tailed test...Ch. 10.3 - Prob. 2TYCh. 10.3 - Prob. 3TYCh. 10.3 - Prob. 4TYCh. 10.3 - Explain how to find the critical value for an...Ch. 10.3 - List five properties of the F-distribution.Ch. 10.3 - List the three conditions that must be met in...Ch. 10.3 - Explain how to determine the values of d.f.N and...Ch. 10.3 - Prob. 5ECh. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - Finding a Critical F-Value for a Right-Tailed Test...Ch. 10.3 - Prob. 9ECh. 10.3 - Finding a Critical F-Value for a Right-Tailed Test...Ch. 10.3 - Finding a Critical F-Value for a Right-Tailed Test...Ch. 10.3 - Finding a Critical F-Value for a Right-Tailed Test...Ch. 10.3 - In Exercises 1318, test the claim about the...Ch. 10.3 - In Exercises 1318, test the claim about the...Ch. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - Prob. 17ECh. 10.3 - In Exercises 1318, test the claim about the...Ch. 10.3 - Performing a Two-Sample F-Test In Exercises 1926,...Ch. 10.3 - Prob. 20ECh. 10.3 - Performing a Two-Sample F-Test In Exercises 1926,...Ch. 10.3 - Performing a Two-Sample F-Test In Exercises 1926,...Ch. 10.3 - Performing a Two-Sample F-Test In Exercises 1926,...Ch. 10.3 - Prob. 24ECh. 10.3 - Prob. 25ECh. 10.3 - Performing a Two-Sample F-Test In Exercises 1926,...Ch. 10.3 - Prob. 27ECh. 10.3 - In Exercises 27 and 28, find the right- and...Ch. 10.3 - In Exercises 29 and 30, construct the confidence...Ch. 10.3 - In Exercises 29 and 30, construct the confidence...Ch. 10.4 - A sales analyst wants to determine whether there...Ch. 10.4 - Prob. 2TYCh. 10.4 - Slate the null and alternative hypotheses for a...Ch. 10.4 - What conditions are necessary in order to use a...Ch. 10.4 - Describe the difference between the variance...Ch. 10.4 - Prob. 4ECh. 10.4 - Performing a One-Way ANOVA Test In Exercises 514,...Ch. 10.4 - Performing a One-Way ANOVA Test In Exercises 514,...Ch. 10.4 - Performing a One-Way ANOVA Test In Exercises 514,...Ch. 10.4 - Prob. 8ECh. 10.4 - Prob. 9ECh. 10.4 - Performing a One-Way ANOVA Test In Exercises 514,...Ch. 10.4 - Performing a One-Way ANOVA Test In Exercises 514,...Ch. 10.4 - Prob. 12ECh. 10.4 - Performing a One-Way ANOVA Test In Exercises 514,...Ch. 10.4 - Performing a One-Way ANOVA Test In Exercises 514,...Ch. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - Prob. 17ECh. 10.4 - Prob. 18ECh. 10.4 - The Scheff Test If the null hypothesis is rejected...Ch. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10 - In Exercises 14. (a) identify the claim and state...Ch. 10 - In Exercises 14. (a) identify the claim and state...Ch. 10 - In Exercises 14, (a) identify the claim and state...Ch. 10 - Prob. 10.1.4RECh. 10 - Prob. 10.2.5RECh. 10 - In Exercises 58, (a) find the expected frequency...Ch. 10 - In Exercises 58, (a) find the expected frequency...Ch. 10 - In Exercises 58, (a) find the expected frequency...Ch. 10 - Prob. 10.3.9RECh. 10 - Prob. 10.3.10RECh. 10 - Prob. 10.3.11RECh. 10 - Prob. 10.3.12RECh. 10 - Prob. 10.3.13RECh. 10 - Prob. 10.3.14RECh. 10 - Prob. 10.3.15RECh. 10 - Prob. 10.3.16RECh. 10 - Prob. 10.3.17RECh. 10 - Prob. 10.3.18RECh. 10 - Prob. 10.3.19RECh. 10 - Prob. 10.3.20RECh. 10 - Prob. 10.4.21RECh. 10 - In Exercises 21 and 22, (a) identify the claim and...Ch. 10 - Prob. 1CQCh. 10 - Prob. 2CQCh. 10 - Take this quiz as you would take a quiz in class....Ch. 10 - Prob. 4CQCh. 10 - In each exercise, (a) identify the claim and state...Ch. 10 - Prob. 2CTCh. 10 - In each exercise, (a) identify the claim and state...Ch. 10 - Prob. 4CTCh. 10 - Prob. 5CTCh. 10 - Prob. 6CTCh. 10 - Goodness-of-Fit The table at the right shows an...Ch. 10 - Independence The contingency table below shows the...Ch. 10 - Prob. 1TCh. 10 - Prob. 2TCh. 10 - Prob. 3TCh. 10 - Teacher Salaries The Illinois State Board of...Ch. 10 - Repeat Exercises 14 using the data in the table...Ch. 10 - The table below shows the winning times (in...Ch. 10 - Prob. 2CRCh. 10 - The equation used to predict the annual sweet...Ch. 10 - Prob. 4CRCh. 10 - Prob. 5CRCh. 10 - Reviewing a Movie The contingency table shows how...Ch. 10 - Prob. 7CR
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