a) In a random sample of 16 chronically stressed patients, what is the probability the sample mean is less than 132? Would you classify this observation as an outlier? Why or why not? b) What is the probability a randomly selected chronically stressed patient has a
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- A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. requried: frequency distribution table of random variable expected value of non defective setsSuppose a family has three children. Assume the likelihood of a girl (G) and boy (B) is the same. How many possibilities are there in the SAMPLE SPACE?A research team is working on a project to study the time (in seconds) for high school male runners to finisha 400-meter race. Jimmy, a junior researcher in the team, has randomly selected a sample of 25 male runnersfrom a high school and the time (in seconds) for each of them to complete a 400-meter race was recorded.The sample mean running time was 53 seconds. It is assumed that the running time in a 400-meter racefollows a normal distribution with a population standard deviation of 5.5 seconds.(a) Give a point estimate of the population mean running time for a 400-meter race.(b) Calculate the sampling error at 95% confidence level.(c) Construct a 95% confidence interval estimate of the population mean running time for a 400-meter race. (d) If instead of 25, 80 male runners are selected for the study, what is the sampling error at 95% confidencelevel? When the 95% confidence interval is constructed based on a sample with 80 male runners, wouldyou expect the interval will be (I)…
- 5. When flipping a penny or spinning a penny, is the probability of getting heads the same? Use the data in the table below with a 0.05 significance level to test the claim that the proportion of heads is the same with flipping as with spinning. Heads Tails 14,709 14,306 9197 11,225 Flipping SpinningCalculate the probability of a sample mean being at least as high as a specified value when σ is estimated?Refer to the sample data for polygraph tests shown below. If one of the test subjects is randomly selected, what is the probability that the subject is not lying? Is the result close to the probability of 0.446 for a negative rest result? No( Did not Lie) Yes (Lied) + test results 10 46 - test results 32 13
- Suppose 2 dice are rolled, and suppose the discrete variable x counts the number of 3’s that show up. Plot the probability distribution for x using a bar graph. What is the expected value for the random variable x? What is the variance for the random variable x?4. Michael is running for president. The proportion of voters who favor Michael is 0.8. A simple random sample of 100 voters is taken. Assume that n/N < 0.05.does the condition meet the condition of random and independent sample
- please help answer both in fullThe article “Unmarried Couples More Likely to Be Interracial” (San Luis Obispo Tribune, March 13, 2002) reported that 7% of married couples in the United States are mixed racially or ethnically. Consider the population consisting of all married couples in the United States. When the n = 200, what is the probability that the proportion of couples in the sample who are racially or ethinically mixed will be greated than .10?A dowser has correctly located water for a well 1 out of 2 times in Jones County. In Jones County, someone who is just guessing has a 40% chance of locating water for a well. Does this sample provide sufficient evidence that the dowser can locate water and is not just guessing?