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Concept explainers
For Exercises 4.97–4.103, select the best response.
4.102 Multiple choice: Sexual harassment In 1995 in the United Kingdom, the Equality Code used by the legal profession added a section to make members more aware of sexual harassment. It states that “research for the Bar found that over 40 percent of female junior tenants said they had encountered sexual harassment during their time at the Bar.” This was based on a study conducted at the University of Sheffield that sent a questionnaire to 334 junior tenants at the Bar, of whom 159 responded. Of the 159, 67 were female. Of those females, 3 said they had experienced sexual harassment as a major problem, and 24 had experienced it as a slight problem.
- a. The quoted statement might be misleading because the nonresponse was large.
- b. No one was forced to respond, so everyone had a chance to be in the sample, which implies it was a simple random sample.
- c. This was an example of a completely randomized experiment, with whether a female junior tenant experienced sexual harassment as the response variable.
- d. This was a retrospective case-control study, with those who received sexual harassment as the cases.
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Chapter 4 Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
- You assume that the annual incomes for certain workers are normal with a mean of $28,500 and a standard deviation of $2,400. What’s the chance that a randomly selected employee makes more than $30,000?What’s the chance that 36 randomly selected employees make more than $30,000, on average?arrow_forwardWhat’s the chance that a fair coin comes up heads more than 60 times when you toss it 100 times?arrow_forwardSuppose that you have a normal population of quiz scores with mean 40 and standard deviation 10. Select a random sample of 40. What’s the chance that the mean of the quiz scores won’t exceed 45?Select one individual from the population. What’s the chance that his/her quiz score won’t exceed 45?arrow_forward
- Suppose that you take a sample of 100 from a population that contains 45 percent Democrats. What sample size condition do you need to check here (if any)?What’s the standard error of ^P?Compare the standard errors of ^p n=100 for ,n=1000 , n=10,000, and comment.arrow_forwardSuppose that a class’s test scores have a mean of 80 and standard deviation of 5. You choose 25 students from the class. What’s the chance that the group’s average test score is more than 82?arrow_forwardSuppose that you collect data on 10 products and check their weights. The average should be 10 ounces, but your sample mean is 9 ounces with standard deviation 2 ounces. Find the standard score.What percentile is the standard score found in part a of this question closest to?Suppose that the mean really is 10 ounces. Do you find these results unusual? Use probabilities to explain.arrow_forward
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- How do you recognize that a statistical problem requires you to use the CLT? Think of one or two clues you can look for. (Assume quantitative data.)arrow_forwardSuppose that you take a sample of 100 from a skewed population with mean 50 and standard deviation 15. What sample size condition do you need to check here (if any)?What’s the shape and center of the sampling distribution for ?What’s the standard error?arrow_forwardQuestion 3 The following stem-and-leaf displays the weekly salary of employees at this firm. Stem-and-Leaf Display Leaf Unit = 10.0 N=x 5 3 00123 12 4 0125888 (y) 5 11234456777 z 6 13568 5 7 154 2 8 46 i. Determine the value of x, y and z. [3] ii. What is the value of the median? [2] iii. Find the mode of this data set. iv. Calculate the range [1] [2]arrow_forward
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