A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 28 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 28 weeks and that the population standard deviation is 3.8 weeks. Suppose you would like to select a random sample of 60 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is greater than 27.2. P(X> 27.2) = (Enter your answers as numbers accurate to 4 decimal places.) Find the probability that a sample of size n = 60 is randomly selected with a mean greater than 27.2. P(M> 27.2) = (Enter your answers as numbers accurate to 4 decimal places.)

Suppose the average amount of money that people spend on their pets per month is 47 dollars, with a standard deviation of 6 dollars.  For a sample of 36 people, final the average amount of money spent on pets that defines the bottom 30% in the distribution.For a sample of 36 people, what is the probability for this sample’s mean to be higher than 50 dollars.

A population of values has a mean of 233.8 and standard deviation of 44.4. Find the probability that a sample of 46 values from this population will have a mean between 234.5 and 245.6.

A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby boys is approximately normally distributed. A study claimed that the mean of this population is 4.93 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 16 baby boys, and you record the weight each gained in their first year. Follow the steps below to construct a 99% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Sample standard Number of baby boys Sample mean deviation Take Sample 16 5.496 1.873 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for…