-3-2-101are statistically significant.are not statistically significant.lower limitupper limit-3-2(b) Find a 99% confidence interval forμl 1-μl 2.(Round your answers to two decimal places.)-1(iv) Based on your answers in parts (i)-(iii), will you reject or fail to reject the null hypothesis? Are the datastatistically significant at level a?0At the x = 0.01 level, we fail to reject the null hypothesis and conclude the data are statisticallysignificant. At the x = 0.01 level, we fail to reject the null hypothesis and conclude the data are notstatistically significant. At the x = 0.01 level, we reject the null hypothesis and conclude the dataAt the x = 0.01 level, we reject the null hypothesis and conclude the data1(v) Interpret your conclusion in the context of the application.Reject the null hypothesis,Fail to reject the null hypothesis, there is insufficient evidence that there is a difference in mean pollutionindex for Englewood and Denver. Fail to reject the null hypothesis, there is sufficient evidence thatthere is a difference in mean pollution index for Englewood and Denver.there is sufficient evidence that there is a difference in mean pollution index for Englewood and Denver.O Reject the null hypothesis, there is insufficient evidence that there is a difference in mean pollutionindex for Englewood and Denver.Explain the meaning of the confidence interval in the context of the problem.Because the interval contains only positive numbers, this indicates that at the 99% confidence level, themean population pollution index for Englewood is greater than that of Denver. Because the intervalcontains both positive and negative numbers, this indicates that at the 99% confidence level, we can notQsay that the mean population pollution index for Englewood is different than that of Denver.Because the interval contains both positive and negative numbers, this indicates that at the 99%confidence level, the mean population pollution index for Englewood is greater than that of Denver.Because the interval contains only negative numbers, this indicates that at the 99% confidence level, themean population pollution index for Englewood is less than that of Denver. 17A random sample of m = 14 winter days in Denver gave a sample mean pollution index x₁ = 43. Previousstudies show that o₁ = 19. For Englewood (a suburb of Denver), a random sample of m2 = 16 winter daysgave a sample mean pollution index of x₂ = 35. Previous studies show that o2 = 15. Assume the pollutionindex is normally distributed in both Englewood and Denver.(a) Do these data indicate that the mean population pollution index of Englewood is different (either way)from that of Denver in the winter? Use a 1% level of significance.(1) What is the level of significance?State the null and alternate hypotheses.Ho: L1= 2; H₁: μl μH2i H₁ H₁ HL ₂Ho: L1= 2; H₁: μL 1 < μL 2(ii) What sampling distribution will you use? What assumptions are you making?The standard normal. We assume that both population distributions are approximately normal withJunknown standard deviations. The Student's t. We assume that both population distributions areapproximately normal with known standard deviations.The standard normal. We assume that bothpopulation distributions are approximately normal with known standard deviations. The Student's t.We assume that both population distributions are approximately normal with unknown standarddeviations.What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate.(Test the difference μ1-2. Round your answer to two decimal places.)(iii) Find (or estimate) the P-value. (Round your answer to four decimal places.)-3Ho:μι < με Η:μι = μ 2Sketch the sampling distribution and show the area corresponding to the P-value.-2-101Ho: μL 1 =-3 -2-10 1

The range where the population parameter likely to occur using the sample statistic information…

Answered: 7 studies show that or=19. For…

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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Calculate the observed z value using a sample mean of 25, a population average of 20, and a standard error of the mean of 8.
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16
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