Barron's reported that the average number of weeks an individual is unemployed is 18.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 18.5 weeks and that the population standard deviation is 3 weeks. Suppose you would like to select a random sample of 65 unemployed individuals for a follow-up study. Use z-table. a. Show the sampling distribution of 2, the sample mean average for a sample of 65 unemployed individuals. E(2) d 18.5 (to 1 decimal) (to 4 decimals)

The distribution of the number of motor vehicles per household in the United States (the population) and sampling distributions of the mean for samples of size 4 and 10 are shown in below. A.Which distribution is which? Make a rough estimate of the mean and standard deviation of each distribution. Explain the reasons of your choices.b. The mean of the population is about 1.7. Theoretically, what is the mean of the sampling distribution for samples of size 4? Of size 10? Are these computed means consistent with your estimates of the means in the histograms? Briefly explain.c. The standard deviation of the population is about 1. Theoretically, what is the Standard Error (SE) of the sampling distribution for samples of size 4? Of size 10? Are these computed SEs consistent with your estimates of the SEs in the histograms? Briefly explain.d. Compare the shapes of the three distributions. Are the shapes consistent with the Central Limit Theorem? Briefly explain.

A population has a mean p= 75 and a standard deviation o= 6. Find the mean and standard deviation of a sampling distribution of sample means with sample size n= 36. (Simplify your answer.)

Consider a set of data in which the sample mean is 27 and the sample standard deviation is 6.2. Calculate the z-score given that x = 28.5. Round your answer to two decimal places. An

Consider a set of data in which the sample mean is 30.230.2 and the sample standard deviation is 7.87.8. Calculate the z-score given that x=31.4x=31.4. Round your answer to two decimal places.

A population has a mean = 73 and a standard deviation σ = 22. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=240. 1x = (Simplify your answer.)

A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics from a data​ set, his height converts to the z score of 5.17. How many standard deviations is his height above the​ mean?

A population has a mean µ = 87 and a standard deviation o=27. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 81. (Simplify your answer.)

The playing life of a Sunshine radio has a Normal distribution with a mean of 600 hours and a standard deviation of 100 hours.   What time frame would be considered unusual? What rule did you use to decide this?

Suppose that we will randomly select a sample of 64 measurements from a population having a mean equal to 20 and a standard deviation equal to 4. Find the mean and the standard deviation of the sampling distribution of the sample mean . (Round your answer to 1 decimal place.)