(g) The following question was investigated:If the standard deviation of the mean for the sampling distribution of randomsamples of size 64 from a large or infinite population is 5, how large must thesample size become if the standard deviation is to be reduced to 0.9.In solving this question, it was determined that n = 1975.308642. Since we cannot talk toa partial person, how many people do we need to sample?(h) Suppose you collect data and want to find P(X < some number) by using the t-distribution.What do we need to assume about the population to make sure we can use the t-distribution?(i) Suppose we want to solve the following:• Find k such that P(x2 < k) = 0.025 where df = 8.Find P(x? < 4.182) where df = 6.What R function would you use in each case to solve these questions? You do not need toactually solve, just write down the R function. An example of an R function is dbinom (thisis not the one that you need).

“Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answered: (g) The following question was…

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 are interested in studying a population to estimate its mean. The population is normal and has a standard deviation of o=10. We have taken a random sample of size n = 42 from the population. This is Sample 1 in the table below. (In the table, Sample 1 is written "S1", Sample 2 is written "S2", etc.) As shown in the table, the sample mean of Sample 1 is x = 74.5. Also shown are the lower and upper limits of the 75% confidence interval for the population mean using this sample, as well as the lower and upper limits of the 95% confidence interval. Suppose that the true mean of the population is u=75, which is shown on the displays for the confidence intervals. Press the "Generate Samples" button to simulate taking 19 more random samples of size n=42 from this same population. (The 75% and 95% confidence intervals for all of the samples are shown in the table and graphed.) Then complete parts (a) through (c) below the table. 75% 75% 95% 95% lower upper lower upper limit limit…
Last year the average age of our clients was 30, and this year we believe it has decreased. We took a sample of 49 clients and found the average age of the sample was 25 and the standard deviation of the sample was 1O. What is the value of uo in this problem? (That is, mu sub-zero.) 25 30 unknown
Question 23 A test had 12 items. A new version of a test was made by adding a set of 12 items which resembles the original 12-item test. The new test having 24-items was administered a group of students. The mean and the standard deviation of the new 24-item test scores were 18 and 6, respectively. The difference score between the original 12-item test and the new set of 12 items was calculated. The standard deviation of the difference scores was 3. Estimate reliability.
Kk.80.
QUESTION 6 A research worker wants to determine the average time it takes a mechanic to rotate the tires of a car, and she wants to be able to assert with 9596 confidence that the mean of her sample is off by at most 0.3 minutes. If she can presume from past experience that the actual time follows normal distribution with a standard deviation of 1.5 minutes, how large the sample will she have to take? O 96 97 6. 68
Use the following scenario for questions 28-30: A sample is selected from a population with u = 50. After a treatment is administered to the 16 individuals in the sample, the mean is found to be M = 55 and the standard deviation is s = 8. What is the appropriate critical value for a one-tailed (right-tailed) test at a = .05? 券
Suppose we are interested in studying a population to estimate its mean. The population is normal and has a standard deviation of σ = 16. We have taken a random sample of size n = 80 from the population. This is Sample 1 in the table below. (In the table, Sample 1 is written "S1", Sample 2 is written "S2", etc.) As shown in the table, the sample mean of Sample 1 is x=58.9. Also shown are the lower and upper limits of the 75% confidence interval for the population mean using this sample, as well as the lower and upper limits of the 95% confidence interval. Suppose that the true mean of the population is μ=60, which is shown on the displays for the confidence intervals. Press the "Generate Samples" button to simulate taking 19 more random samples of size n = 80 from this same population. (The 75% and 95% confidence intervals for all of the samples are shown in the table and graphed.) Then complete parts (a) through (c) below the table. 75% x 75% 95% 95% lower upper lower upper limit…
3
Question 3 Todd wants to estimate a population mean age of the incoming fall term transfer students. Based on previous evidence, he believes the population standard deviation is approximately o = 7.5 years. Todd would Like to be 90% confident that his estimate is within 1.8 years of the true population mean, and asks you to help him determine the appropriate minimum sample size. How large of a sample size should Todd use? people
Suppos are interested in studying a population to estimate its mean. The population is normal and has a standard deviation of G=23. We have taken a random sample of size 11=95 from the population. This is Sample 1 in the table below. (In the table, Sample 1 is written "S1", Sample 2 is written "S2", etc.) As shown in the table, the sample mean of Sample 1 is = 142.0. Also shown are the lower and upper limits of the 80% confidence interval for the population mean using this sample, as well as the lower and upper limits of the 95% confidence interval. Suppose that the true mean of the population is = 140, which is shown on the displays for the confidence intervals. Press the "Generate Samples" button to simulate taking 19 more random samples of size 11 = 95 from this same population. (The 80% and 95% confidence intervals for all of the samples are shown in the table and graphed.) Then complete parts (a) through (c) below the table. 80% 80% 95% 95% lower upper lower upper limit limit…
Question Four.
Question 7 Use the following information to answer Question 7 and Question 8.The marks of six students in a Mathematics test are represented by the variable x. The following data was produced: n=6, Σx = 279 and Σx2= 13 093.Find the mean and standard deviation of the following data.A. mean =46.5 , standard deviation = 5.82B. mean = 52.5, standard deviation = 4.89C. mean =46.5 , standard deviation = 4.89D. mean =52.5 , standard deviation = 5.82 Question 8 It was later discovered that one of the values was incorrectly recorded as 43. The correct value, in fact, is 34. Find the new values of the mean and standard deviation.A. mean = 45 , standard deviation = 7.07B. mean = 51, standard deviation = 6.84C. mean = 45 , standard deviation = 6.84D. mean = 51 , standard deviation = 7.07

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