Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normallydistributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used.20.Find the endpoints of the t-distribution with 2.5 % beyond them in each tail if the samples have sizes n₁ = 15 and n₂ =Enter the exact answer for the degrees of freedom and round your answer for the endpoints to two decimal places.degrees of freedom = 14endpoints=|+

The area in each of the tails is 2.5% i.e., 0.025. Sample sizes n1=15 and n2=20

Answered: Use a t-distribution to answer this…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose we take a sample of size 30 from a geometrical distribution 200 times. Draw a graph of the distribution of X¯n, this is a histogram of 200 values of the sample mean. Calculate the expected value and variance of X¯n. How is X¯ n distributed - name the distribution. Use an important theorem. Do it in R commander.
Q5: b) For a dataset that has a symmetrical distribution, compare the mean and the median. None of the other choices The mean and median will be hugely different The mean and median will be fairly close together The mean and median will not be fairly close together
Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $234 with a standard deviation of $57. Random samples of size 26 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is
What position in the distribution corresponds to a z-score of z = +2.00?
Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $229 with a standard deviation of $63. Random samples of size 24 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. A researcher was interested in comparing the GPAs of students at two different colleges. Independent simple random samples of 8 students from college A and 13 students from college B yielded the following GPAs. College A 3.7 3.2 3.0 2.5 2.7 3.6 2.8 3.4 College B 3.8 3.2 3.0 3.9 3.8 2.5 3.9 2.8 4.0 3.6 2.6 4.0 3.6 Construct a 95% confidence interval for μ1−μ2, the difference between the mean GPA of college A students and the mean GPA of college B students. Round to two decimal places. (Note: x1=3.1125, x2=3.4385, s1=0.4357 s2=0.5485
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No written by hand solution
B Choosing a topic Sk.. For data that is not normally distributed we can't use z-scores. However, there is an equation that works on any distribution. It's called Chebyshev's formula. The formula 1 where p is the minimum percentage of scores that fall within k k2 is p = 1 - standard deviations on both sides of the mean. Use this formula to answer the following questions. a) If you have scores and you don't know if they are normally distributed, find the minimum percentage of scores that fall within 2.2 standard deviations on both sides of the mean? b) If you have scores that are normally distributed, find the percentage of scores that fall within 2.2 standard deviations on both sides of the mean? c) If you have scores and you don't know if they are normally distributed, how many standard deviations on both sides of the mean do we need to go to have 64 percent of the scores? Note: To answer part c you will need to solve the equation for k.
answer d)
Roy and Jennie are looking for a company to help plan their wedding. Company A charges an amount based on the cost function, C=Vn+F, where C is the total cost, V is the variable cost, F is the fixed cost, and n is the number of people who attend the wedding. Suppose n is a random variable with a mean of 47 and a standard deviation of 8. Also V=40 and F=2500. (Round your answers to the nearest dollar.) (a) What is the mean for the total cost? (b) What is the standard deviation for the total cost?

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