Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter 11.1, Problem 15AYU
In Problems 13–16, construct a confidence interval for p1 − p2 at the given level of confidence.
15. x1 = 28, n1 = 254, x2 = 36, n2 = 301, 95% confidence
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Students have asked these similar questions
Abe and Betty want to estimate the mean of a population with known standard deviation o. Abe takes 50 samples whereas Betty takes 80 samples. Which of the following statements are correct?
(A) If both Abe and Betty use confidence intervals of the same width, then the confidence level of Abe's interval is smaller than that of Betty's
(B) If both Abe and Betty use confidence intervals of the same width, then the confidence level of Abe's interval is larger than of Betty's
(C) If Abe and Betty construct confidence intervals with the same confidence level, then the width of Abe's interval is smaller than that of Betty's
(D) If Abe and Betty construct confidence intervals with the same confidence level then the width of Abe's interval is larger than that of Betty's
(B) and (C).
(A) and (D)
(B) and (D)
(A) and (C)
Use the SPSS Output below to answer questions 9 and 10
Independent Samples T-Test # 1
Group Statistics
Gender
Mean
Std. Deviation
Std. Error Mean
Final Exam %
Male
23
71.222
14.1632
2.9532
Female
23
78.983
12.2024
2.5444
Independent Samples Test
Levene's Test
for Equality of
Variances
t-test for Equality of Means
95% Confidence
Interval of the
Difference
Sig.
(2-tailed)
Mean
Difference
Std. Error
Difference
Sig.
df
Lower
Upper
Final Exam %
Equal variances
assumed
.517
.476
-1.991
44
.053
-7.7609
3.8981
-15.6171
.0953
Equal variances
not assumed
-1.991
43.058
.053
-7.7609
3,8981
-15,6219
.1002
9. Approximately what is the actual standardized effect size, d, for the mean differences between
genders? (use the average standard deviations for the groups in place of the pooled standard deviation)
Assume we found a 98% confidence interval for the true difference in proportions of those who consume caffeine and smoke, and those who don’t consume caffeine and smoke to be [-0.78, 0.09]. Which of the following would be an appropriate interpretation?
We are 98% confident that the true difference in the proportions of those who consume caffeine and smoke, and those who don't consume caffeine and smoke is between -0.78 and 0.09.
We are 98% confident that the true proportions of those who consume caffeine and smoke, and those who don't consume caffeine and smoke is between -0.78 and 0.09.
We are 98% confident that the difference in the proportions of those who consume caffeine and smoke, and those who don't consume caffeine and smoke is between -0.78 and 0.09.
We are 98% confident that the true difference in the averages of those who consume caffeine and smoke, and those who don't consume caffeine and smoke is between -0.78 and 0.09.
Chapter 11 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 11.1 - A sampling method is _____ when the individuals...Ch. 11.1 - A sampling method is _____ when the individuals...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - Prob. 8AYUCh. 11.1 - In Problems 912, conduct each test at the = 0.05...Ch. 11.1 - In Problems 912, conduct each test at the = 0.05...
Ch. 11.1 - In Problems 912, conduct each test at the = 0.05...Ch. 11.1 - In Problems 912, conduct each test at the = 0.05...Ch. 11.1 - In Problems 1316, construct a confidence interval...Ch. 11.1 - Prob. 14AYUCh. 11.1 - In Problems 1316, construct a confidence interval...Ch. 11.1 - In Problems 1316, construct a confidence interval...Ch. 11.1 - NW Prevnar The drug Prevnar is a vaccine meant to...Ch. 11.1 - Prevnar Part 2 In randomized, double-blind...Ch. 11.1 - Prob. 19AYUCh. 11.1 - Views on the Death Penalty The Pew Research Group...Ch. 11.1 - NW Tattoos The Harris Poll conducted a survey in...Ch. 11.1 - Body Mass Index The body mass index (BMI) of an...Ch. 11.1 - Public Cell Phone Conversations Researchers at...Ch. 11.1 - Prob. 24AYUCh. 11.1 - Side Effects In clinical trials of the allergy...Ch. 11.1 - Practical versus Statistical Significance In...Ch. 11.1 - Prob. 27AYUCh. 11.1 - Prob. 28AYUCh. 11.1 - Deficit Reduction In the Sullivan Statistics...Ch. 11.1 - Prob. 30AYUCh. 11.1 - Prob. 31AYUCh. 11.1 - Prob. 32AYUCh. 11.1 - Prob. 33AYUCh. 11.1 - Prob. 34AYUCh. 11.1 - Prob. 35AYUCh. 11.1 - Putting It Together: Salk Vaccine On April 12,...Ch. 11.1 - Why do we use a pooled estimate of the population...Ch. 11.1 - Explain the difference between an independent and...Ch. 11.2 - A researcher wants to show the mean from...Ch. 11.2 - A researcher wants to show the mean from...Ch. 11.2 - In Problems 3 and 4, assume that the differences...Ch. 11.2 - a. 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To test the belief that sons are...Ch. 11.2 - Prob. 12AYUCh. 11.2 - Prob. 13AYUCh. 11.2 - Car Rentals The following data represent the daily...Ch. 11.2 - DUI Simulator To illustrate the effects of driving...Ch. 11.2 - Prob. 16AYUCh. 11.2 - Prob. 17AYUCh. 11.2 - Putting It Together: Glide Testing You are a...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - Elapsed Time to Earn a Bachelors Degree A...Ch. 11.3 - Sugary Beverages It has been reported that...Ch. 11.3 - Prob. 9AYUCh. 11.3 - Walking in the Airport, Part II Do business...Ch. 11.3 - Priming Two Dutch researchers conducted a study in...Ch. 11.3 - Prob. 12AYUCh. 11.3 - NW Ramp Metering Ramp metering is a traffic...Ch. 11.3 - Prob. 14AYUCh. 11.3 - Bacteria in Hospital Carpeting Researchers wanted...Ch. 11.3 - Visual versus Textual Learners Researchers wanted...Ch. 11.3 - Prob. 17AYUCh. 11.3 - Prob. 18AYUCh. 11.3 - Prob. 19AYUCh. 11.3 - Prob. 20AYUCh. 11.3 - Prob. 21AYUCh. 11.3 - Prob. 22AYUCh. 11.3 - Putting It Together: Online Homework Professor...Ch. 11.3 - Prob. 24AYUCh. 11.3 - College Skills The Collegiate Learning Assessment...Ch. 11.3 - MythBusters In a MythBusters episode, the question...Ch. 11.3 - Prob. 27AYUCh. 11.4 - Prob. 1AYUCh. 11.4 - Prob. 2AYUCh. 11.4 - Prob. 3AYUCh. 11.4 - Prob. 4AYUCh. 11.4 - Prob. 5AYUCh. 11.4 - The following data represent the measure of a...Ch. 11.4 - Prob. 7AYUCh. 11.4 - TIMS Report and Kumon TIMS is an acronym for the...Ch. 11.4 - Age Difference in Married Couples What is the...Ch. 11.4 - Prob. 10AYUCh. 11.4 - Prob. 11AYUCh. 11.4 - Prob. 12AYUCh. 11.4 - Prob. 13AYUCh. 11.4 - Prob. 14AYUCh. 11.4 - Prob. 15AYUCh. 11.4 - Extramarital Affairs Is there a difference in the...Ch. 11.4 - Multitasking in School In todays wired society,...Ch. 11.4 - Prob. 18AYUCh. 11.4 - Hospital Readmission As of October 1, 2012,...Ch. 11.4 - Behavior and Gender at Work Researchers wanted to...Ch. 11.4 - Prob. 21AYUCh. 11.4 - Prob. 22AYUCh. 11.4 - Prob. 23AYUCh. 11.4 - Prob. 24AYUCh. 11.4 - Prob. 25AYUCh. 11.4 - Prob. 26AYUCh. 11.4 - Prob. 27AYUCh. 11.4 - In Problems 2231, for each study, explain which...Ch. 11.4 - Prob. 29AYUCh. 11.4 - Prob. 30AYUCh. 11.4 - In Problems 2231, for each study, explain which...Ch. 11 - In Problems 1 and 2, determine if the sampling is...Ch. 11 - In Problems 1 and 2, determine if the sampling is...Ch. 11 - In Problem 3, assume that the paired differences...Ch. 11 - In Problems 4 and 5, assume that the populations...Ch. 11 - In Problems 4 and 5, assume that the populations...Ch. 11 - A random sample of n1 = 555 individuals results in...Ch. 11 - Height versus Arm Span A statistics student heard...Ch. 11 - McDonalds versus Wendys A student wanted to...Ch. 11 - Treatment for Osteoporosis Osteoporosis is a...Ch. 11 - Determining Sample Size A nutritionist wants to...Ch. 11 - Height versus Arm Span Construct and interpret a...Ch. 11 - Prob. 12RECh. 11 - Prob. 1CTCh. 11 - Prob. 2CTCh. 11 - Prob. 3CTCh. 11 - Prob. 4CTCh. 11 - Prob. 5CTCh. 11 - Prob. 6CTCh. 11 - Prob. 7CTCh. 11 - In a study conducted to determine the role that...Ch. 11 - Researchers had a car traveling 10 miles per hour...Ch. 11 - Zoloft is a drug used to treat...Ch. 11 - Does hypnotism result in a different success rate...Ch. 11 - A researcher wants to estimate the difference...Ch. 11 - It is commonplace to gain weight after quitting...Ch. 11 - Dr. Penelope Nicholls is interested in exploring a...Ch. 11 - Dr. Penelope Nicholls is interested in exploring a...
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- We survey a random sample of American River College students and ask if they drink coffee on a regular basis. The 90% confidence interval for the proportion of all American River College students who drink coffee on a regular basis is (0.262, 0.438). What will be true about the 95% confidence interval for these data? 1. The 95% confidence interval is narrower than the 90% confidence interval. 2. The 95% confidence interval is wider than the 90% confidence interval. 3. The two intervals will have the same width. 4. It is impossible to say which interval will be wider.arrow_forwardSuppose that you have obtained data by taking a random sample from a population and that you intend to find a confidence interval for the population mean, µ.Which confidence level, 95% or 99%, will result in the confidence interval giving a more accurate estimate of µ?arrow_forwardA study found a confidence interval on the proportion of children that are hearing impaired was 0.04 to 0.16. #1 What is p-hat in this study? #2 What is the margin of error for this confidence interval?arrow_forward
- 3) Which of the following is TRUE about the width of a confidence interval for a proportion? (a) The confidence interval is narrower for 99% confidence than for 95% confidence. (b) The confidence interval is wider for a 90% confidence than for a 95% confidence. (c) The width of the confidence interval increases when the sample size increases. (d) The width of the confidence interval decreases when the sample size increases.arrow_forwardIm struggling with certain problems!arrow_forward4. Find a 95% confidence interval for the difference of two means when you have independent samples, both of size 36, from two populations, in which the variances are not known to be equal. In this case, nị=36, s1²=6.1, the first sample mean is equal to 7.9; n2 =36, s2?=10.4, the second sample mean is equal to 9.1 Interpret the interval once you find it. Namely, can you conclude one mean is greater than the other mean and if so, which one?arrow_forward
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- 2. An experiment showed that 52 teenage subjects dreamed in black and white & 175 of them dreamed in colors. Another study on old-age adults showed that 5 dreamed in black and white & 40 of them dreamed in colors. Find the 95% confidence interval for the difference between the rates who dreamed in black and white and those in colors. please show how to solve it. no excel please.arrow_forwardIf n = 15, the sample mean = 150, SD = 10, what is the confidence interval (using 99% confidence level). What percent confidence do you have that the population mean is between what two values?arrow_forward51. You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 393 randomly selected caterpillars observed, 55 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b. If many groups of 393 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about percent will not contain the true population proportion.arrow_forward
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