Random samples of size n were selected from a nonnormal population with the means and variances given here. n = 13, µ = 130, o² = 1 What can be said about the sampling distribution of the sample mean? Since the sample size is -Select--- v 30, we -Select--- v assume that the distribution of x is approximately normal. Find the mean and standard error for this distribution. (Round your standard error to four decimal places.) mean standard error

Random samples of size n were selected from a nonnormal population with the means and variances given here. n = 13, µ = 130, o² = 1 What can be said about the sampling distribution of the sample mean? Since the sample size is -Select--- v 30, we -Select--- v assume that the distribution of x is approximately normal. Find the mean and standard error for this distribution. (Round your standard error to four decimal places.) mean standard error

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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5) A national standardized math test is given to 8th-grade students. Scores on the test range from 0 to 500. Suppose you give this test to an SRS of 900 eighth- graders from a large population in which the scores have a mean u =285 and a standard deviation o= 125. The sample mean x-bar will vary if you take repeated samples. a) If the sampling distribution of x-bar is approximately Normal and has a population mean of 285. What is its standard deviation? b) Suppose that an SRS of 900 eighth-graders has x-bar = 288. Based on this sample, calculate the 95% confidence interval for u %3D c) Without calculating, suppose we compute a 99% confidence interval for the population mean, would you expect the margin of error to be larger or smaller than that calculated in (b). Why? d) Without calculating, suppose that we take an SRS of 1600 8th-graders and find the sample mean to be 288. Compared to part (b), would the margin of error for a 95% confidence interval for the population mean be larger…
4) Suppose an x distribution with u = 12 and standard deviation 6. Consider two corresponding x distributions, the first based on sample size n = 36 and the second with sample size n = 64. a) What is the value of the mean and standard deviation of the two x distributions? First: Hx = Ox= - Ox=- Second: ux =
5) Below is the standard deviation for extreme 10k finish times for a randomly selected group of women and men. Chose the statement that best summarizes the meaning of the standard deviation. Women: s = 0.17 Men: s = 0.21 A) The distribution of women's finish times is less varied than the distribution of men's finish times. B) The distribution of men's finish times is less varied than the distribution of women's finish times. C)On average, men's finish times will be 0.21 hours faster than the overall average finish time. D)On average, women's finish times will be 0.17 hours less than men's finish times.
What of the following is not a correct comparison among the Z-distribution and all the t-distributions?
To test the null hypothesis that the difference between two population proportions is equaluse StatCrunch or the formulaz =(p1 (carat) - p2 (Carat) / (Sq root) p1 (carat) (1 - p1 (carat)/n1 + p2(carat) (1 - p2(carat))/n2As long as n1 and n2 are both large, the sampling distribution of the test statistic z will beapproximately the standard normal distribution. Given the sample data below, test the claim that the proportion of female voters who plan to vote Republican at the next presidential election is less than the percentage of male voters who plan to vote Republican. Use the traditional method of hypothesis testing and use a significance level of 0.05.Men: n1 = 250, x1 = 146, p1(carat)=.584Women: n2 = 309, x2 = 103, p2(carat) = .333 3)a. Write the null and alternative hypotheses to test this claim. b. What is the value of the test statistic? Show you work.c. What is the associated P-value? d. State your conclusion and explain in context using ΅ = 0.05.
When taking a sample for research we need to be mindful of the Central Limit Theorem which assumes the population distribution is called?
2. A specially designed car tire has an average life of 38,500 miles with a standard deviation of 2,500 ms is approximately normally distributed. (a) Let X = number of miles of a single tire. Find the probability that in the sample above the mean will be less than 38,000 miles. (Use 4 decimals) rox< 38000) =nomacr (IEa, 3,0o, 38,500, 2,50).5442 PCX bobnpt.ou vnio (b) Use the software tool below (or any other) to graph and shade the probability from part (a). Do not graph manually. The graph should show the appropriate area from part (a). Tool link: https://mathcracker.com/normal-probability-calculator-sampling-distributions (c) The tire manufacturer wants to set the tire warranty to 39,100 miles. Is this a good decision? What are the possible consequences to the manufacturer? Explain in detail.
Suppose the mean grade for a statistic midterm was 75 with Standard Deviation of 10. Assume that the grades are normally distributed. a) What percentage of students received a grade less than 70? b) If 2 students failed the exam i.e. their grades were less than 60, how many students took the test? ( Hint: Focus on x< 60 first)
The lengths of home runs hit by players for the Mets have approximately a normal distribution with μ = 399 feet and a standard deviation of σ=31.16 feet. Suppose that we randomly select 81 home runs hit by players of the Mets. Let X be the random variable representing the mean length of home runs in feet and let Xtot be the random variable representing the sum of the lengths of the home runs in feet for the 81 selected home runs. d) About how many of the 81 sampled home runs have length between 400 and 420 feet? (nearest integer) e) What is the standard deviation of the distribution of X? f) What is the standard deviation of the distribution of Xtot?
The mean for a sample of n = 4 scores has a standard error SE = 5 points. This sample was selected from a population with a standard deviation of a = 20. 1) True 2) False