(c) At the 0.05 level, test to determine whether there is a significant difference in the means of the three populations. Use both the critical and p-value approaches.State the null and alternative hypotheses to test for difference among the means of the three populations.но: 1=2=3H₂: At least two of the population means are different.79°FSunnyO H₁ H₁ = μ₁₂ = 3на: ц1 + H2 + изO Ho: H₁ H₂ H3на: 1=12=ИзO Ho: H₁ H₂ H3Ha: At least two of the population means are different.оно: At least two of the population means are different.на: М1=H2=HзFind the test statistic for testing the above hypothesis. (Round your answer to two decimal places.)Determine the p-value for the test. (Round your answer to three decimal places.)p-valueWhat do you conclude?We should reject Ho and therefore can conclude that there is a significant difference among the means of the three populations.O We should reject H. and therefore cannot conclude that there is a significant difference among the means of the three populations.We should not reject Ho and therefore cannot conclude that there is a significant difference among the means of the three populations.O We should not reject H and therefore can conclude that there is a significant difference among the means of the three populations.Test the hypotheses using the critical value approach. Let a = 0.05. (Round your answer to two decimal places.)The critical value is found to be✓Since the test statistic is greater than vthe data to suggest a significant difference among the means of the three populations.f4*****f510Wf64-f74+fgIAAthe critical value we should rejectfgDIIf10DDIf11✓Ho. Thus, we canf12.insertprt scWCdelete→home3conclude that there is sufficient evidence inĐend1:31 PM10/16/2022pg up21pg dr escYou may need to use the appropriate technology to answer this question.Samples were selected from three populations. The data obtained are shown below. Please note the sample sizes are not equal.Sample Mean (x₂)Sample Variance (s²,)(a) Compute the overall mean x.11.5X79°FSunny?Between GroupsWithin GroupsTotalSample 17O Hoi H₁ = H₂ = M3E10M9Source of Variation Sum of Squares109f42Sample 2300(b) Set up an ANOVA table for this problem. (Round your mean squares to four decimal places and your F statistic to two decimal places.)*****131112f5Hoi H₁ = H₂ = 3H: At least two of the population means are different.12140(c) At the 0.05 level, test to determine whether there is a significant difference in the means of the three populations. Use both the critical and p-value approaches.State the null and alternative hypotheses to test for difference among the means of the three populations.Sample 3012f615Degrees of Freedom13.54-4.5f7Mean Square4+fgIAAfgFhpDIIf10DDIf11f12insertprt scWdeletehome合成員end1:31 PM210/16/2022pg up

Given: Sample 1 Sample 2 Sample 3 7 13 12 10 11 15 9 12 10…

Answered: (c) At the 0.05 level, test to…

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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Molly works for a meat producer, and she needs to determine whether containers of ground beef have the correct fat content. She obtains a random sample of 120 containers of ground beef and finds that 84 percent have the correct fat content. Molly then conducts a hypothesis test of H0:p=0.80H0:p=0.80 versus Ha:p≠0.80Ha:p≠0.80 and calculates a test statistic of 1.10 with a pp-value of 0.273. Which of the following best represents the meaning of the pp-value? If the population proportion is 0.84, the probability of observing a sample proportion of 0.80 is 0.273. A If the population proportion is 0.84, the probability of observing a sample proportion of at least 0.04 less than 0.84 is 0.273. B If the population proportion is 0.80, the probability of observing a sample proportion within 0.04 of 0.80 is 0.273. C If the population proportion is 0.80, the probability of observing a sample proportion at least 0.04 greater than 0.80 is 0.273. D If the…
weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 0.05, test the hypothesis that the three formulas produce the same mean weight gain.H0: μ1 = μ2 = μ3Ha: At least two of the means differ from each other Forumla A Forumla B Forumla C 51 39.4 53.6 55.8 55.1 42.4 53.8 33.1 50.1 43.2 58.7 40.4 42.1 40.4 46.9 50.1 19 45.6 59.5 43.2 48.7 35.4 32.2 49.5 45.2 16.4 56.1 Run a one-factor ANOVA with α=0.05. Report the F-ratio to 4 decimal places and the p-value to 4 decimal places.F = p-value = Based on the p-value, what is the conclusion Reject the null hypothesis: at least one of the group means is different Fail to reject the null hypothesis: not sufficient evidence to suggest the group means are different
Find the value of the standard score, z, and determine whether to reject the null hypothesis at a 0.01 significance level. Is the alternative hypothesis supported? Ho: μ = 19.1 meters, H₂: μ# 19.1 meters, n=144, x= 18.4 meters, o = 1.4 meters The value of the standard score is (Round to two decimal places as needed.) The critical value(s) is/are (Use a comma to separate answers as needed. Round to two decimal places as needed.) Determine whether the alternative hypothesis is supported at a 0.01 significance level. O A. The standard score is at least as extreme as the critical value(s). Reject Ho. The alternative hypothesis is supported. OB. The standard score is at least as extreme as the critical value(s). Do not reject Ho. The alternative hypothesis is not supported. C. The standard score is less extreme than the critical value(s). Reject Ho. The alternative hypothesis is supported. D. The standard score is less extreme than the critical value(s). Do not reject Ho. The alternative…
A local coach wants to see if training in light rooms or dark rooms impacts athlete performance. With the single team, the coach tries training in different conditions and takes measurements. She ran her analysis in Microsoft Excel and received the following output table. If the P value is less than 0.05, the null hypothesis may be rejected. Based on the data table, what decision should the coach make about the hypothesis? Coach should reject the null hypothesis. Coach should fail to reject the null hypothesis.   Coach should accept the null hypothesis. Coach does not have enough information to decide.
Women athletes at a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 38 women athletes at the school showed that 23 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 10% level of significance. What is the level of significance? (b) State the null and alternate hypotheses. H0: p = 0.67; H1: p > 0.67 H0: p = 0.67; H1: p ≠ 0.67     H0: p < 0.67; H1: p = 0.67 H0: p = 0.67; H1: p < 0.67 What sampling distribution will you use? The Student's t, since np < 5 and nq < 5. The standard normal, since np < 5 and nq < 5.     The standard normal, since np > 5 and nq > 5. The Student's t, since np > 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) Find the P-value of the test statistic. (Round your answer to four decimal places.)…
20% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 326 randomly selected students who receive financial aid, 46 of them volunteered their time. What can be concluded at the αα = 0.05 level of significance? Z- test for a population proportion The null and alternative hypotheses would be: H0:H0: p = __?__  (please enter a decimal)    H1:H1:  p is ( choose one <, = or not equal) ____?___ncorr __?__(Please enter a decimal) The test statistic z= __?__(please show your answer to 3 decimal places.) The p-value = __?__(Please show your answer to 4 decimal places.) Thus, the final conclusion is that ... a. The data suggest the population proportion is not significantly lower than 20% at αα = 0.05, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 20%. b. The data…
Dentists A toothpaste company wants to declare in an ad that more than 80% of dentists recommend their toothpaste. The company performs a hypothesis test at the α = 0.05 significance level to test their claim. The company samples 800 dentists. Of these, 653 recommend their toothpaste. Let p represent the population proportion of dentists that recommend their toothpaste. b.Calculate the z or t statistic. (Do not use continuity correction. Round final answer to 4 decimal places) Statistic: c. Find the p-value. (Do not use continuity correction. Round final answer to 4 decimal places) p-value:
In a random sample of 320 cars driven at low altitude, 40 of them exceeded the standard 10 grams of particulate pollution per gallon of fuel consumed. In another independent random sample of 80 cars driven at high altitude, 20 of them exceeded the standard. Let P 1be the true proportion of cars that exceed the standard in low altitudes and P 2be the true proportion of cars that exceed the standard in high altitudes. What is the test statistic for testing this hypothesis.
3/ a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? The test statistic, t, The P-value is State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. D. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights…
For the hypothesis system H0: u=c versus Ha: u doesn't equal c Give the absolute value of the calculated test statistics which would correspond to the standard P-value. Consider the population normally distributed. P-value= 0.026
Three students, an athlete, a fraternity member, and an honors student, record the number of hours they slept each night for 20 nights. O JMP Applet imp ? Oneway Analysis of Sleep Hours By Student Oneway Analysis of Sleep Hours By Student 10 Oneway Anova 14 Summary of Fit 12 Rsquare 0.024506 10- Adj Rsquare Root Mean Square Error Mean of Response Observations (or Sum Wgts) -0.00072 1.99517 7.7 60 Analysis of Variance Sum of Mean F Prob > Source DF Squares Square Ratio F 2 Athiete Frat Honors Student 2 5.70000 2.85000 0.7180 0.4931 Student Error 57 226.90000 3.98070 C. Total 59 232.60000 Oneway Anova Means for Oneway Anova Std Lower Upper 95% Summary of Fit Level Number Mean Error 95% Athlete 20 8.10000 0.44813 7.2086 8.9934 Rsquare 0.024506 Frat 20 7.65000 0.44813 6.7588 8.5434 Adj Rsquare Root Mean Square Error Mean of Response Observations (or Sum Wgts) -0.00972 Honors 20 7.35000 0.44813 6.4586 8.2434 1.99517 Std Error uses a pooled estimate of error variance 7.7 60 Analysis of…
Test the claim about the population variance o² at the level of significance a. Assume the population is normally distributed. Claim: o² ≤17.1; x = 0.01 Sample statistics: s² = 25.13, n = 41 Write the null and alternative hypotheses. Ho: H₂:0²

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	Sample 1	Sample 2	Sample 3
	7	13	12
	10	11	15
	9	12
	10

Sample mean	9	12	13.5
Sample variance	2	1	4.5