# Question: A Find the mean and standard deviation of x for

a. Find the mean and standard deviation of x for a binomial probability distribution n _ 200 with and p _ 0.3 .

b. Use a computer to construct the probability distribution and histogram for the random variable x of the binomial probability experiment with n _ 200 and p _ 0.3 .

c. Use a computer to randomly generate 200 samples of size 25 from a binomial probability distribution with n _ 200 and . Calculate the mean of each sampl

e.

d. Construct a histogram and find the mean and standard deviation of the 200 sample means.

e. Compare the probability distribution of x found in part b and the frequency distribution of found in part d. Does your information support the CLT? Explain.

b. Use a computer to construct the probability distribution and histogram for the random variable x of the binomial probability experiment with n _ 200 and p _ 0.3 .

c. Use a computer to randomly generate 200 samples of size 25 from a binomial probability distribution with n _ 200 and . Calculate the mean of each sampl

e.

d. Construct a histogram and find the mean and standard deviation of the 200 sample means.

e. Compare the probability distribution of x found in part b and the frequency distribution of found in part d. Does your information support the CLT? Explain.

**View Solution:**## Answer to relevant Questions

A sample of 144 values is randomly selected from a population with mean, m, equal to 45 and standard deviation, s, equal to 18. a. Determine the interval (smallest value to largest value) within which you would expect a ...Being unbiased and having a small variability are two desirable characteristics of a statistic if it is going to be used as an estimator. Describe how the SDSM addresses both of these properties when estimating the mean of a ...Calculate the p-value for each of the following: a. Ho: µ = 20, Ha: µ < 20; x = 17.8, s = 9, n = 36 b. Ho: µ = 78.5, Ha: µ > 78.5; x = 79.8, s = 15, n = 100 c. Ho: µ = 1.587, Ha: µ ≠ 1.587; = 1.602, s = 0.15, n ...The following computer output was used to complete a hypothesis test. a. State the null and alternative hypotheses. b. If the test is completed using , what decision and conclusion are reached? c. Verify the value of the ...Who says that the more you spend on a wristwatch, the more accurately the watch will keep time? Some say that you can now buy a quartz watch for less than $25 that keeps time just as accurately as watches that cost four ...Post your question