A leading magazine (like Barron's) reported at one time that the average number of weeks an individual unemployed is 25 weeks. Assume that for the population of all unemployed individuals the population me length of unemployment is 25 weeks and that the population standard deviation is 7 weeks. Suppose you would like to select a random sample of 39 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is less than 24. P(x < 24) = Find the probability that a sample of size n = 39 is randomly selected with a mean less than 24. P(x < 24) =

A normally distributed population has a mean equal to 85 and a standard deviation equals 4.0. If a sample of size 49 is selected what is the probability that the sample mean will be less than 73 or greater than 97?

To become an actuary, it is necessary to pass a series of 10 exams, including the most important one, an exam in probability and statistics. An insurance company wants to estimate the mean score on this exam for actuarial students who have enrolled in a special study program. They take a sample of 8 actuarial students in this program and find the mean of the sample is 6.0 with standard deviation of the sample 2.0. This sample will be used to calculate a 95% confidence interval for the mean score for actuarial students in the special study program. A 95% confidence interval for the mean score of actuarial students in the special program is from ________ to ________.   Question 17 options:   1)  3.52 to 8.47   2)  4.69 to 7.31   3)  4.66 to 7.34   4)  4.33 to 7.67

 Suppose that in the population of all healthy humans, body temperature follows a normal distribution with mean 98.2 and standard deviation of 0.5. Suppose a random sample of 20 healthy humans is taken. Which sample mean body temperature would be higher than 40% of all sample me and Body temperatures?