A simple random sample of size n=36 is obtained from a population with μ=89 and σ=24. ​(a) Describe the sampling distribution of x. ​(b) What is P x>95​? ​(c) What is P x≤79.8​? ​(d) What is P 85.8

Let a population consist of the values 7 cigarettes, 21 cigarettes, and 22 cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with​ replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. What does this indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a​ population?   Calculate the mean absolute deviation for each possible sample of size 2 from the population. Sample Mean Absolute Deviation   ​{7,7​} __   ​{7,21​} __   ​{7,22​} __   ​{21,7​} __   ​{21,21​} __   ​{21,22​} __   ​{22,7​} __   ​{22,21​} __   ​{22 ,22​}

The weights of men in a particular age group have mean ? = 186 pounds and standard deviation ? = 20 pounds. (a) For randomly selected samples of n = 4 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means? s.d.(x) = (b) For randomly selected samples of n = 16 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means? s.d.(x) = (c) In general, how does increasing the sample size affect the standard deviation of the sampling distribution of possible sample means? Parts (a) and (b) provide a hint. Increasing the sample size (increses/decreases/doesn't effet)the value of the standard deviation of the sampling distribution of the sample mean. A fourfold increase in sample size multiplies the standard deviation by a factor of (1/4, 1/2, 1, 2, or 4)

(a) Find the mean u and the standard deviation o for the collection of N = 8 stocks. (b) Find the sample mean i and sample standard deviation s of the random sample of stocks.