Independent random samples from approximately normal populations produced the results shown below. Completeparts a and b.Full data setOSample 139Sample 250452958304262515845303556572836344570a. Do the data present sufficient evidence to conclude that H-H2 *0? Use a = 0.05.Let u, be the mean of population 1 and p2 be the mean of population 2. Select the correct hypotheses below.O A. Ho: H1 -H2 = 0, H H -H2 #0O B. Ho: H -H2 = 0, H: H1 - H2>0OC. Ho: H1 -H2 = 0, H: H - H2 <0 Now find the test statistic.t3D(Round to two decimal places as needed.)Find the p-value.p-value DRound to two decimal places as needed.)Choose the correct conclusion below.O A. Reject Ho. There is sufficient evidence that the means differ.B. Reject Ho: There is insufficient evidence that the means differ.OC. Do not reject Ho. There is insufficient evidence that the means differ.O D. Do not reject Ho. There is sufficient evidence that the means differ.b. Construct a 90% confidence interval for (H1 - H2).The confidence interval is ( D-(Round to three decimal places as needed.)

Answered: Image /qna-images/answer/99f19f04-23f2-45b6-9cbb-a118605e94b5.jpg

Answered: Independent random samples from…

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 that you want to perform a hypothesis test for a population mean. Assume that the population standard deviation is unknown and that the sample size is relatively small. In each exercise, we have given the distribution shape of the variable under consideration. Decide whether you would use the t-test, the Wilcoxon signed-rank test, or neither. Explain your answers. Symmetric bimodal
Treatment Placebo 3. H1 H2 table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. A study was done using a treatment group and a placebo group. The results are shown in the 27 40 In 2.39 2.65 0.95 0.57 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O A. Ho: H1 = H2 O B. Ho: H1H2 D. Ho: H1 H2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. O A. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. O B. Reject the null hypothesis. There is not sufficient evidence to warrant rejection…
A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72 116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =
Three randomly selected children are surveyed. The ages of the children are 2, 3, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population of 2, 3, and 10. Listed below are the nine different samples. Complete parts (a) through (d). 2,2 2,3 2,10 3,2 3,3 3,10 10,2 10,3 10,10 a. Find the value of the population variance o². (Round to three decimal places as needed.)
Find the standardized test statistic estimate, z, to test the hypothesis that p, > p,. Use a= 0.01. The sample statistics listed below are from independent samples. Round to three decimal places. Sample statistics: n, = 100, x, = 38, and n2 = 140, X2 = 50 %3D %D O A. 0.638 B. 0.362 O C. 2.116 D. 1.324 S ting Click to select your answer. Type here to search hp 近

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
Consider the data below. Three random samples in different cities were selected. Water use per household per day were measured. City 1 City 2 City 3 70 66 66 70 64 66 55 45 54 60 41 61 65 58 65 45 44 65 55 46 Test the claim that the samples come from populations with the same mean. Assume all requirements have been met. Use a 5% level of significance. Identify the tail of the test. [ Select ] Find the P-value. I [ Select ) Will the null hypothesis be rejected? Select] Do the populations appear to have the same mean? [Sclect
7
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A movie theater company wants to see if there is a difference in the average price of movie tickets in Chicago and New York City. They sample 20 ticket stubs from Chicago and 25 from New York City. Test the claim using a 1% level of significance. Assume the population variances are unequal and that movie ticket prices are normally distributed. Give answer to at least 4 decimal places. Chicago 9 9 7 11 10 10 8 69 6 0 10 11 11 10' 12 10 9 10 12 8 8 New York City 10 14 10 13 9 14 12 14 12 9 11 12 Mean Variance Observations Hypothesized Mean Difference 284 Test Statistic = p-value = 8 t-Test: Two-Sample Assuming Unequal Variances 14 12 11 13 9 12 7 Check Appver 11 12 14 12 6 Chicago 9.5 2.4736842105263 20 0 df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Choose the correct sign for the alternative hypothesis. 42 Ho: 41 = 42 Η; με ον 112 Based on the hypotheses, find the following: -3.0383993175306 0.00203988 2.4185 0.00407976 2.6981 New York City 11.24…

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