Question: Let and 2 denote the two sample means. a. Give the mean and standard deviation of the sampling distribution of . b. Give the mean

Let and 2 denote the two sample means.

a. Give the mean and standard deviation of the sampling distribution of .
b. Give the mean and standard deviation of the sampling distribution of 2.
c. Suppose you were to calculate the difference between the sample means (1 - 2). Find the mean and standard deviation of the sampling distribution of (1, - 2).
d. Will the statistic (1 - 2) be normally distributed? Explain.

Population1 Population 2 =4

Step by Step Solution

★★★★★

3.44 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b c d Since 1 n 30 and 2 n 30 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

766-M-S-H-T (4911).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Suppose that two independent samples of size n are drawn from a normal distribution with variance 2 . Let S 2 1 and S 2 2 denote the two sample variances. Use the fact that (n 1)S 2 / 2 has a chi...

Independent random samples of 64 observations each are chosen from two normal populations with the following means and standard deviations: Population 1 _______________ Population 2 1 = 12...

Let and 2 denote the mean and variance of the random variable X. Determine E[(X )/] and E{[(X )/]2}.

Independent random samples of 64 observations each are chosen from two normal populations with the following means and standard deviations: Population 1 Population 2 1 = 12 2 = 10 1 = 4 2 = 3 Let 1...

2. Complete the details in Table 3.1 No. Sample Sample Mean a. obtain a random sample of size n = 2 without replacement and make sure that all possible sample sets are listed b. compute the mean of...

statistics and probability MODULE 11 1. A population has a mean of ED and standard of 5. A random sample of 15 measurements is drawn from this population. Decsribe the sampling distribution of the...

pls help i need it after 1 and a half hour plsss Direction: Perform what is being asked. Solve the problem by showing the step-bv-step process. Situation: Joe, 3 HIGH COVID-19 tracker, found out that...

Question 7 (1 point) Saved In general, 20.79% of all students default on their student loan debt. A sample of 587 students with student loan debt is randomly selected and it's found that 133 of them...

Researchers obtained a random sample of 1114 social robots through a Web search and determined the number that were designed with legs, but no wheels. Letp represent the sample proportion of social...

1) A population has parameters = 168.5 =168.5 and = 87.9 =87.9 . You intend to draw a random sample of sizen = 85 n=85 . What is the mean of the distribution of sample means? x = x= What is the...

What is Hobbes' distinction between the state of nature and the state of political society? How does one go from the former to the latter? Do you agree with Hobbes's fear and solution? (typed answer...

Explain the distinction between a direct-financing lease and a sales-type lease for a lessor.

sunk costs are those costs that _ and must _ included in decision making

An instructor measures the following quiz scores: 6, 8, 7, and 9 (SD = 1.29). If the instructor subtracts 2 points from each quiz score, how will the value for the standard deviation change? a. The...

It is estimated that the time that a well-known rock band, the Living Ingrates, spends on stage at its concerts follows a normal distribution with a mean of 200 minutes and a standard deviation of 20...

The daily selling price per 100 pounds of buffalo meat is normally distributed with a mean of $70, and the probability that the daily price is less than $85 is 0.9332. Four days are chosen at random....

Given a random sample size of n = 900 from a binomial probability distribution with P = 0.50 do the following: a. Find the probability that the number of successes is greater than 500. b. Find the...

You have been asked to determine the probability that the contribution margin for a particular product line exceeds the fixed cost of $2590. The total number of units sold is a normally distributed...

Parent LTD. Purchases an 80% interest in Sub Inc. for $850,000 on January 1, 2015. The estimated fair value of the NCI is $190,000. On the purchase date, Sub Inc. has the following stockholders...

Suppose you work as a strategic financial manager at Nadia Inc., a large telecommunications firm which is considering making an offer to purchase Shaan Inc. a smaller network company. You have...