Pearson eText for An Introduction to Mathematical Statistics and Its Applications -- Instant Access (Pearson+)
6th Edition
ISBN: 9780137549375
Author: Richard Larsen, Morris Marx
Publisher: PEARSON+
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Chapter 9.5, Problem 5Q
To determine
To prove: The
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A random sample of 1,117 U.S. college students finds that 729 go home at least once each term. Find a 98 percent confidence interval for the proportion of all U.S. college students who go home at least once each term.
Suppose that you make two confidence intervals with the same data set — one with a 95 percent confidence level and the other with a 99.7 percent confidence level.
Which interval is wider?Is a wide confidence interval a good thing?
Is it true that a 95 percent confidence interval means you’re 95 percent confident that the sample statistic is in the interval?
Chapter 9 Solutions
Pearson eText for An Introduction to Mathematical Statistics and Its Applications -- Instant Access (Pearson+)
Ch. 9.2 - Some states that operate a lottery believe that...Ch. 9.2 - As the United States has struggled with the...Ch. 9.2 - Amedical researcher believes that women typically...Ch. 9.2 - Among a number of beliefs concerning the so-called...Ch. 9.2 - The University of MissouriSt. Louis gave a...Ch. 9.2 - Prob. 6QCh. 9.2 - Poverty Point is the name given to a number of...Ch. 9.2 - A major source of mercury poisoning comes from the...Ch. 9.2 - Despite its complexity, the English language does...Ch. 9.2 - A company markets two br ands of latex...
Ch. 9.2 - Prob. 11QCh. 9.2 - Suppose that H0:X=Y is being tested against H1:XY,...Ch. 9.2 - An executive has two routes that she can take to...Ch. 9.2 - Prob. 14QCh. 9.2 - If X1,X2,...,Xn and Y1,Y2,...,Ym are independent...Ch. 9.2 - Let X1,X2,...,Xn and Y1,Y2,...,Ym be independent...Ch. 9.2 - A person exposed to an infectious agent, either by...Ch. 9.2 - For the approximate two-sample t test described in...Ch. 9.2 - Prob. 19QCh. 9.2 - Two popular forms of mortgage are the thirty-year...Ch. 9.3 - Case Study 9.2.3 was offered as an example of...Ch. 9.3 - Question 9.2.20 compared the rates of thirty-year...Ch. 9.3 - Among the standard personality inventories used by...Ch. 9.3 - In a study designed to investigate the effects of...Ch. 9.3 - Raynauds syndrome is characterized by the sudden...Ch. 9.3 - The bitter, eight-month baseball strike that ended...Ch. 9.3 - For the data in Question 9.2.8, the sample...Ch. 9.3 - Crosstown busing to compensate for de facto...Ch. 9.3 - Show that the generalized likelihood ratio for...Ch. 9.3 - Let X0,X2,...,Xn and Y1,Y2,...,Ym be independent...Ch. 9.4 - The phenomenon of handedness has been extensively...Ch. 9.4 - In a study designed to see whether a controlled...Ch. 9.4 - Water witching, the practice of using the...Ch. 9.4 - If flying saucers are a genuine phenomenon, it...Ch. 9.4 - In some criminal cases, the judge and the...Ch. 9.4 - Suppose H0:pX=pY is being tested against H1:pXpY...Ch. 9.4 - A total of 8605 students are enrolled full-time at...Ch. 9.4 - Prob. 8QCh. 9.4 - Prob. 9QCh. 9.4 - Compute 2ln(see Equation 9.4.1) for the nightmare...Ch. 9.5 - Historically, fluctuations in the amount of rare...Ch. 9.5 - Male fiddler crabs solicit attention from the...Ch. 9.5 - Construct two 99% confidence intervals for XY...Ch. 9.5 - Prob. 4QCh. 9.5 - Prob. 5QCh. 9.5 - Construct a 95% confidence interval for X2/Y2...Ch. 9.5 - One of the parameters used in evaluating...Ch. 9.5 - Prob. 8QCh. 9.5 - Flonase is a nasal spray for diminishing nasal...Ch. 9.5 - Construct an 80% confidence interval for the...Ch. 9.5 - Prob. 11QCh. 9.5 - For obese patients, there is an increased risk of...
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- Tines can range from 2 to upwards of 50 or more on a male deer. You want to estimate the average number of tines on the antlers of male deer in a nearby metro park. A sample of 30 deer has an average of 5 tines, with a population standard deviation of 3. Find a 95 percent confidence interval for the average number of tines for all male deer in this metro park.Find a 98 percent confidence interval for the average number of tines for all male deer in this metro park.arrow_forwardBased on a sample of 100 participants, the average weight loss the first month under a new (competing) weight-loss plan is 11.4 pounds with a population standard deviation of 5.1 pounds. The average weight loss for the first month for 100 people on the old (standard) weight-loss plan is 12.8 pounds, with population standard deviation of 4.8 pounds. Find a 90 percent confidence interval for the difference in weight loss for the two plans( old minus new) Whats the margin of error for your calculated confidence interval?arrow_forwardA 95 percent confidence interval for the average miles per gallon for all cars of a certain type is 32.1, plus or minus 1.8. The interval is based on a sample of 40 randomly selected cars. What units represent the margin of error?Suppose that you want to decrease the margin of error, but you want to keep 95 percent confidence. What should you do?arrow_forward
- 3. (i) Below is the R code for performing a X2 test on a 2×3 matrix of categorical variables called TestMatrix: chisq.test(Test Matrix) (a) Assuming we have a significant result for this procedure, provide the R code (including any required packages) for an appropriate post hoc test. (b) If we were to apply this technique to a 2 × 2 case, how would we adapt the code in order to perform the correct test? (ii) What procedure can we use if we want to test for association when we have ordinal variables? What code do we use in R to do this? What package does this command belong to? (iii) The following code contains the initial steps for a scenario where we are looking to investigate the relationship between age and whether someone owns a car by using frequencies. There are two issues with the code - please state these. Row3<-c(75,15) Row4<-c(50,-10) MortgageMatrix<-matrix(c(Row1, Row4), byrow=T, nrow=2, MortgageMatrix dimnames=list(c("Yes", "No"), c("40 or older","<40")))…arrow_forwardDescribe the situation in which Fisher’s exact test would be used?(ii) When do we use Yates’ continuity correction (with respect to contingencytables)?[2 Marks] 2. Investigate, checking the relevant assumptions, whether there is an associationbetween age group and home ownership based on the sample dataset for atown below:Home Owner: Yes NoUnder 40 39 12140 and over 181 59Calculate and evaluate the effect size.arrow_forwardNot use ai pleasearrow_forward
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