**Hypothesis Test for Difference in Population Means (\( \sigma \) Unknown)**You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.001 \).\( H_0: \mu_1 = \mu_2 \)\( H_a: \mu_1 \neq \mu_2 \)You believe both populations are normally distributed, but you do not know the standard deviations for either. We will assume that the population variances are not equal.You obtain a sample of size \( n_1 = 17 \) with a mean of \( M_1 = 50.4 \) and a standard deviation of \( SD_1 = 18.5 \) from the first population. You obtain a sample of size \( n_2 = 16 \) with a mean of \( M_2 = 36.4 \) and a standard deviation of \( SD_2 = 10.3 \) from the second population.What is the test statistic for this sample? (Report answer accurate to three decimal places.)Test statistic = [ ]What is the p-value for this sample? For this calculation, use the conservative under-estimate for the degrees of freedom. The degrees of freedom is the minimum of \( n_1 - 1 \) and \( n_2 - 1 \). (Report answer accurate to four decimal places.)p-value = [ ]The p-value is…- [ ] less than (or equal to) \( \alpha \)- [ ] greater than \( \alpha \)This test statistic leads to a decision to…- [ ] reject the null- [ ] accept the null- [ ] fail to reject the nullAs such, the final conclusion is that…- [ ] There is sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean.- [ ] There is not sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean.- [ ] The sample data support the claim that the first population mean is not equal to the second population mean.- [ ] There is not sufficient sample evidence to support the claim that the first population mean is not equal to the second population mean.

Given that For population 1, sample size n1 = 17, sample mean M1 = 50.4, and sample SD1 = 18.5 For…

Answered: What is the test statistic for 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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Use the sample data below to test the hypotheses Ho: P₁ = P₂ = P3 H₂: not all population proportions are equal where P₁ is the population proportion of Yes responses for population i. Response Yes No Populations 1 23 145 140 111 95 140 119 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = Using a 0.05 level of significance, state your conclusion. O Do not reject Ho. We cannot conclude that not all population proportions are equal. O Do not reject Ho. We conclude that not all population proportions are equal. O Reject Ho. We cannot conclude that not all population proportions are equal. O Reject Ho. We conclude that not all population proportions are equal.
Use the properties of the mean and median to determine which are the correct mean and median for the following histogram.
f5need part B please
49
Teacher claims that the mean time required to complete a Test is two hours. A sample of 10 students took 1.7, 1.5, 2.6, 2.2, 2.4 2.3, 2.6, 3.0, 1.4 and 2.3 hours to complete the test. Test his claim to see if the mean time to complete the Test is different from two house. Use alpha = 0.05. Find p-value. State your hypothesis and your conclusion.
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(c) Determine if the means of samples 1 and 2 overestimate, underestimate, or are equal to the population mean. The mean pulse rate of sample 1 the population mean. The mean pulse rate of sample 2 the population mean.
(a) Determine the values of the sample mean and sample median. Hint: x, 18.49. Explain why they are different. = Recall that the sample mean, x, is the arithmetic average of the n observations in the study, X₁, X2... Xn- The sample mean is calculated by the following equation. X₁ + X₂ + + Xn n The given data is shown below. X = x X = n 0.19 1.42 18.49 = 1.69 n 0.22 0.25 0.31 0.34 0.40 0.54 0.57 There are n= data values for the study. We are given the hint thatx, 18.49, which can be verified by finding the sum of all data values. Substitute these values into the formula to calculate the sample mean, rounding to three decimal places. 1.83 2.19 2.24 3.06 3.24 3
Game Attendance An athletic director suggests the median number for the paid attendance at 18 local football games is 3000. The data for a sample are shown. At a 0.05, is there enough evidence to reject the claim? If you were printing the programs for the games, would you use this figure as a guide? 4231 5605 2556 5228 5586 3675 3867 3610 4679 5676 5779 4745 2907 4925 4785 4551 3112 3688 Send dats to Excel Part: 0/6 Part 1 of 6 (a) State the hypotheses and identify the claim with the correct hypotheses Ho (Choose one) (Choose one) This hypothesis test is a (Choose one) test. 00000-0 D-D
The numbers of regular season wins for 5 football teams in a given season are given below. Determine the range, mean, POPULATION variance, and POPULATION standard deviation of the population data set. Do not upload to excel since there are only FIVE values and it may not load correctly. You must upload your work for this question to BLACKBOARD. 15,14,10,9,2O The range is . (Simplify your answer.) The population mean is (Simplify your answer. Round to the nearest tenth as needed.) The population variance is (Simplify your answer. Round to the nearest tenth as needed.) The population standard deviation is. (Simplify your answer. Round to the nearest tenth as needed.) EM Trin nar np. Enter your answer in each of the answer boxes. THE 202 irm
some is wrong？
Using significance level=0.01, test the claim that the three brands have the same mean if the following sample results have been obtained. Round you answer to 3 decimal places. Brand A Brand B Brand C 44 30 28 47 32 27 44 34 31 40 36 32 39 38 36 43 40 31 43 42 31

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