Problems: 1. Suppose you are testing Но: и 3D 75 H1: µ > 75 versus where o? is known and n = 50. From your data, you calculate your test statistic value as +2.01. (a) Should you use z or t when finding a p-value for this scenario? (b) Calculate the p-value for this scenario. (c) Using a significance level of 0.027. what decision should you make (Reject Ho or Do Not Reject Ho)?
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- You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd>0Ha:μd>0You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=40n=40 subjects. The average difference (post - pre) is ¯d=3.2d¯=3.2 with a standard deviation of the differences of sd=9.6sd=9.6.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? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is…You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1>μ2Ha:μ1>μ2 You obtain the following two samples of data. 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 degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the nullYou are conducting a hypothesis test where the null hypothesis is that mu is less than or equal to 850. You are testing at the 0.01 significance level. You take a sample of size 64 and calculate your test statistic to be -1.50. What would your test statistic be if, rather than mu<= 850, your null hypothesis was that mu >= 850?
- 11% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of those who live in the inner city have sleep apnea. Of the 344 people from the inner city surveyed, 34 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.01? The test statistic= (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)_____ 21. Suppose the test for normality of number of ears (X) gave significant results (p < 0.001). Which statistical test is most appropriate to compare nitrogen rates in terms of the number of ears? A. Cochran’s Q B. Friedman’s C. Kruskal Wallis test D. Anova F-test _____ 22. Which of the following will be appropriate to compare the proportion of susceptible plants among nitrogen rates? A. Cochran’s Q B. Friedman’s C. Kruskal Wallis test . D. Anova F-test _____ 23. Which of the following is (are) TRUE about Cochran’s Q? It is used to compare proportions when the response of interest is dichotomous. It may be used for analysis of qualitative variables. A. I only B. II only C. Both I and II D. Neither I nor II _____ 24. The tests of assumptions for yield gave values for Levene’s statistic and Shapiro-Wilk’s as 0.0562 and .00271, respectively. At , which statistical test is most appropriate to compare the yield among the nitrogen rates? A. Cochran’s Q B. Friedman’s C .…Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
- You wish to test the following claim (Ha) at a significance level of a = 0.01. Id:°H На : Рі — Р2 <0 P2 = 0 You obtain 69 successes in a sample of size n1 = sample of size n2 = 603 from the second population. 274 from the first population. You obtain 195 successes in a 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? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null hypothesis accept the null hypothesis O fail to reject the null hypothesis As such, the final conclusion is that... There is enough evidence to show that the first population proportion is not less than the second population proportion. O There is not enough evidence to show that the first population proportion is not less than the second population proportion. There is enough evidence to show that…Consider the scenario ai from the previous question. Suppose you take an SRS of 50 avocados and find that the mean is 1.1 inches, which yields a p-value of 0.0542. What conclusion would you draw at the =0.05 level? At the =0.10level?You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd≠0Ha:μd≠0You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=125n=125 subjects. The average difference (post - pre) is ¯d=2.5d¯=2.5 with a standard deviation of the differences of sd=21.3sd=21.3.What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = ±±What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final…
- You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd<0Ha:μd<0You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=16n=16 subjects. The average difference (post - pre) is ¯d=−2.7d¯=-2.7 with a standard deviation of the differences of sd=13.3sd=13.3.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? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There…If you collect data from a random sample of 10 students and we would like test for statistical significance at the 0.05 level, what critical r value must be obtained? O .602 O.632 0.708 O .5769. You want to know if college students have more stress in their lives than the general population (u=12), so you gather data from 25 people to test your hypothesis. Your sample has an average stress score of X=13.11 and an SD of s=3.89. Use a 1-sample t-test to see if there's a difference. please explain without excel because I cannot access thank you much !