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Barron’s reported that the average number of weeks an individual is unemployed is 17.5 weeks (Barron’s, February 18, 2008). Assume that for the population of all unemployed individuals the population mean length of unemployment is 17.5 weeks and that the population standard deviation is 4 weeks. Suppose you would like to select a random sample of 50 unemployed individuals for a follow-up study. a. Show the sampling distribution of , the sample mean average for a sample of 50 unemployed individuals. b. What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1 week of the population mean? c. What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1/2 week of the population mean?
Derive an expression for the closed loop transfer function: Because the output is related to the actuating signal by G(s), we have
One of the 100 test subjects is selected at random. Given that the person selected approves of the mayor, what is the probability that they vote democrat?
Your customers have been divided into 3 groups. The first group represents 15% of customers, and these customers spent an average of $29.76 last year.
for University Y, M = 4, S2 = 1.5; and for University Z, M = 6, S2 = 2.5. What should you conclude? Use the .05 level. (a) Use the steps of hypothesis testing, (b) figure the effect size for the study.
In order to compare the means of two populations, independent random samples of 484 observations are selected from each population, with the following results:
Find the expected frequency for the number of days in which there was exactly one application. Determine the expected frequency for the other days in a similar manner.
Warren Road MacBurger that the mean waiting time was 2.75 minutes. At the 0.05 significance level, can we conclude that the mean waiting time is less than three minutes?
If the process mean and standard deviation remain constant, what proportion of the output from this process will be defective?
What is the probability that both funds will exceed their respective benchmarks and the bookies give 2:1 odds that the NFC will win the Super bowl. What is the probability that the market will rise for the upcoming year
Find the probability that an individual graduate will have a salary over $45,000. A group of nine graduates will have a group average over $45,000.
A random sample of 20 patients in a weight loss clinical trial lost an average of 25 pounds over an 8 week period. The sample standard deviation is 10.
The estimate of the population proportion is to be within plus or minus .10, with a 99 percent level of confidence. The best estimate of the population proportion is .45. How large a sample is required?
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