Pearson eText for Essentials of Statistics -- Instant Access (Pearson+)
6th Edition
ISBN: 9780137517374
Author: Mario Triola
Publisher: PEARSON+
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Textbook Question
Chapter 7.2, Problem 7BSC
Using Correct Distribution. In Exercises 5–8, assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) Find the critical value tα/2, (b) find the critical value zα/2 or (c) state that neither the
7. Denver Bronco Salaries Confidence level is 99%, σ = 3342 thousand dollars, and the histogram of 61 player salaries (thousands of dollars) is shown in Exercise 6.
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Delores must grade a driver's test completed by a group of training students. She knows that driver's test scores are normally distributed with mu = 50 and sigma = 6 6. Students are required to score in the top 75% of students on the test in order to pass the test and continue on with the training course. Which score do students need to obtain at a minimum in order to pass the test and continue with the course ?
A relationship expert wants to know if people with higher levels of emotional intelligence (measured on an interval scale from 1–6, with higher numbers meaning more intelligence) will be better liked upon first meeting people (measured on a 1–5 interval scale, with higher numbers meaning more likable). X: Emotional Intelligence Score
X: First Impression Rating
6 1 2.5 4 M=3.38 s=2.14 SS = 13.69
Y: First Impression Rating
5 1.5 3 3.5 M=3.25 s=1.44 SS = 6.25
a) Create a scatterplot of the data.
b) Calculate r and r2 .
c) Report results in APA style.
d) What do the results mean?
Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information:
x
1
2
3
4
5
y
15.8
18.1
14.4
19.6
20.0
Σx = 15; Σy = 87.9; Σx2 = 55; Σy2 = 1,568.77; Σxy = 273.6
(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.)
x
=
y
=
b
=
ŷ
=
+ x
Chapter 7 Solutions
Pearson eText for Essentials of Statistics -- Instant Access (Pearson+)
Ch. 7.1 - Poll Results in the Media USA Today provided...Ch. 7.1 - Margin of Error For the poll described in Exercise...Ch. 7.1 - Notation For the poll described in Exercise 1,...Ch. 7.1 - Confidence Levels Given specific sample data, such...Ch. 7.1 - Finding Critical Values. In Exercises 58, find the...Ch. 7.1 - Finding Critical Values. In Exercises 58, find the...Ch. 7.1 - Finding Critical Values. In Exercises 58, find the...Ch. 7.1 - Finding Critical Values. In Exercises 58, find the...Ch. 7.1 - Formats of Confidence Intervals. In Exercises 912,...Ch. 7.1 - Formats of Confidence Intervals. In Exercises 912,...
Ch. 7.1 - Formats of Confidence Intervals. In Exercises 912,...Ch. 7.1 - Formats of Confidence Intervals. In Exercises 912,...Ch. 7.1 - Constructing and Interpreting Confidence...Ch. 7.1 - Constructing and Interpreting Confidence...Ch. 7.1 - Constructing and Interpreting Confidence...Ch. 7.1 - Constructing and Interpreting Confidence...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Touch Therapy When she was 9 years of age, Emily...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Critical Thinking. In Exercises 1728, use the data...Ch. 7.1 - Determining Sample Size. In Exercises 3138, use...Ch. 7.1 - Determining Sample Size. In Exercises 3138, use...Ch. 7.1 - Determining Sample Size. In Exercises 3138, use...Ch. 7.1 - Determining Sample Size. In Exercises 3138, use...Ch. 7.1 - Determining Sample Size. In Exercises 3138, use...Ch. 7.1 - Determining Sample Size. In Exercises 3138, use...Ch. 7.1 - Determining Sample Size. In Exercises 3138, use...Ch. 7.1 - Determining Sample Size. In Exercises 3138, use...Ch. 7.1 - Finite Population Correction Factor For Formulas...Ch. 7.1 - One-Sided Confidence Interval A one-sided claim...Ch. 7.1 - Coping with No Success According to the Rule of...Ch. 7.2 - In Exercises 13, refer to the accompanying screen...Ch. 7.2 - Statistical Literacy and Critical Thinking In...Ch. 7.2 - In Exercises 13, refer to the accompanying screen...Ch. 7.2 - Normality Requirement What does it mean when we...Ch. 7.2 - Using Correct Distribution. In Exercises 58,...Ch. 7.2 - Using Correct Distribution. In Exercises 58,...Ch. 7.2 - Using Correct Distribution. In Exercises 58,...Ch. 7.2 - Using Correct Distribution. In Exercises 58,...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Confidence Intervals. In Exercises 924, construct...Ch. 7.2 - Sample Size. In Exercises 2936, find the sample...Ch. 7.2 - Sample Size. In Exercises 2936, find the sample...Ch. 7.2 - Sample Size. In Exercises 2936, find the sample...Ch. 7.2 - Sample Size. In Exercises 2936, find the sample...Ch. 7.2 - Sample Size. In Exercises 2936, find the sample...Ch. 7.2 - Sample Size. In Exercises 2936, find the sample...Ch. 7.2 - Sample Size. In Exercises 2936, find the sample...Ch. 7.2 - Sample Size. In Exercises 2936, find the sample...Ch. 7.2 - Confidence Interval with Known . In Exercises 37...Ch. 7.2 - Confidence Interval with Known . In Exercises 37...Ch. 7.2 - Finite Population Correction Factor If a simple...Ch. 7.3 - Brain Volume Using all of the brain volumes listed...Ch. 7.3 - Expressing Confidence Intervals Example 2 showed...Ch. 7.3 - Last Digit Analysis The dotplot below depicts the...Ch. 7.3 - Normality Requirement What is different about the...Ch. 7.3 - Finding Critical Values and Confidence Intervals....Ch. 7.3 - Finding Critical Values and Confidence Intervals....Ch. 7.3 - Finding Critical Values and Confidence Intervals....Ch. 7.3 - Finding Critical Values and Confidence Intervals....Ch. 7.3 - Finding Confidence Intervals. In Exercises 916,...Ch. 7.3 - Finding Confidence Intervals. In Exercises 916,...Ch. 7.3 - Finding Confidence Intervals. In Exercises 916,...Ch. 7.3 - Finding Confidence Intervals. In Exercises 916,...Ch. 7.3 - Finding Confidence Intervals. In Exercises 916,...Ch. 7.3 - Finding Confidence Intervals. In Exercises 916,...Ch. 7.3 - Finding Confidence Intervals. In Exercises 916,...Ch. 7.3 - Comparing Waiting Lines a. The values listed below...Ch. 7.3 - Determining Sample Size. In Exercises 1922, assume...Ch. 7.3 - Determining Sample Size. In Exercises 1922, assume...Ch. 7.3 - Determining Sample Size. In Exercises 1922, assume...Ch. 7.3 - Determining Sample Size. In Exercises 1922, assume...Ch. 7.3 - Finding Critical Values In constructing confidence...Ch. 7.3 - Finding Sample Size Instead of using Table 7-2 for...Ch. 7.4 - Replacement Why does the bootstrap method require...Ch. 7.4 - Bootstrap Sample Here is a random sample of...Ch. 7.4 - Bootstrap Sample Given the sample data from...Ch. 7.4 - Prob. 4BSCCh. 7.4 - In Exercises 58, use the relatively small number...Ch. 7.4 - In Exercises 58, use the relatively small number...Ch. 7.4 - In Exercises 58, use the relatively small number...Ch. 7.4 - In Exercises 58, use the relatively small number...Ch. 7 - Celebrities and the Law Here is a 95% confidence...Ch. 7 - Interpreting CI Write a brief statement that...Ch. 7 - Critical Value For the survey described in...Ch. 7 - Loose Change USA Today reported that 40% of people...Ch. 7 - Sample Size for Proportion Find the sample size...Ch. 7 - Sample Size for Mean Find the sample size required...Ch. 7 - Requirements A quality control analyst has...Ch. 7 - Degrees of Freedom In general, what does degrees...Ch. 7 - Critical Value Refer to Exercise 7 Requirements...Ch. 7 - Which Method? Refer to Exercise 7 Requirements and...Ch. 7 - Online News In a Harris poll of 2036 adults, 40%...Ch. 7 - Computers In order to better plan for student...Ch. 7 - Earthquake Magnitudes Listed below are Richter...Ch. 7 - Lefties There have been several studies conducted...Ch. 7 - Distributions Identify the distribution (normal,...Ch. 7 - Sample Size You have been hired by your new...Ch. 7 - Wristwatch Accuracy Students of the author...Ch. 7 - Wristwatch Accuracy Use the sample data from...Ch. 7 - Flight Arrivals. Listed below are the arrival...Ch. 7 - Flight Arrivals. Listed below are the arrival...Ch. 7 - Flight Arrivals. Listed below are the arrival...Ch. 7 - Flight Arrivals. Listed below are the arrival...Ch. 7 - Normal Distribution Using a larger data set than...Ch. 7 - Sample Size Find the sample size necessary to...Ch. 7 - Prob. 7CRECh. 7 - Normality Assessment A random sample consists of...Ch. 7 - Critical Thinking: What does the survey tell us?...Ch. 7 - Critical Thinking: What does the survey tell us?...Ch. 7 - Critical Thinking: What does the survey tell us?...Ch. 7 - Critical Thinking: What does the survey tell us?...Ch. 7 - Critical Thinking: What does the survey tell us?...
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- Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 12.2 17.5 14.4 19.6 20.0 (c) Find the sample correlation coefficient r and the coefficient of determination r2. (Round your answers to three decimal places.) r = ? r2 = ? What percentage of variation in y is explained by the least-squares model? __________ %(Round your answer to one decimal place.) incorrect answers: I submitted this question and was told this is the answer but it is NOT CORRECT. please help !! r=0.800 r2= 0.640 64% ( above answers are incorrect)arrow_forwardBighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 13.8 19.3 14.4 19.6 20.0 Σx = 15; Σy = 87.1; Σx2 = 55; Σy2 = 1554.45; Σxy = 274b) Find the equation of the least-squares line. (Round your answers to two decimal places.) ŷ = + x (c) Find r. Find the coefficient of determination r2. (Round your answers to three decimal places.) r = r2 = d) Test the claim that the population correlation coefficient is positive at the 1% level of significance. (Round your test statistic to three decimal places.) t =arrow_forwardBighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 15.8 17.3 14.4 19.6 20.0 Σx = 15; Σy = 87.1; Σx2 = 55; Σy2 = 1,540.45; Σxy = 272 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) x = y = b = ŷ = + x (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. (c) Find the sample correlation coefficient r and the coefficient of determination r2. (Round your answers to three decimal places.) r = r2 = What percentage of variation in y is…arrow_forward
- Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 12.2 20.9 14.4 19.6 20.0 Σx = 15; Σy = 87.1 ; Σx2 = 55; Σy2 =1577.17; Σxy = 275.6 (a) Draw a scatter diagram. (b) Find the equation of the least-squares line. (Round your answers to two decimal places.) ŷ = + x (c) Find r. Find the coefficient of determination r2. (Round your answers to three decimal places.) r = r2 = Explain what these measures mean in the context of the problem. The correlation coefficient r measures the strength of the linear relationship between a bighorn sheep's age and the mortality rate. The coefficient of determination r2 measures the explained…arrow_forwardBighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 12.2 20.9 14.4 19.6 20.0 Σx = 15; Σy = 87.1 ; Σx2 = 55; Σy2 =1577.17; Σxy = 275.6 d) Test the claim that the population correlation coefficient is positive at the 1% level of significance. (Round your test statistic to three decimal places.) t = e) Find or estimate the P-value of the test statistic. P-value > 0.250 0.125 < P-value < 0.250 0.100 < P-value < 0.125 0.075 < P-value < 0.100 0.050 < P-value < 0.075 0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.005 < P-value < 0.010 0.0005 < P-value < 0.005 P-value < 0.0005 Conclusion Reject the…arrow_forwardMm2arrow_forward
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