A paired difference experiment produced the following results
nd = 38
- a. Determine the values of z for which the null hypothesis. μ1 – μ2 = 0, would be rejected in favor of the alternative hypothesis, μ1 – μ2 < 0. Use α = .10.
- b. Conduct the paired difference test described in part a. Draw the appropriate conclusions.
- c. What assumptions are necessary so that the paired difference test will be valid? d Find a 90% confidence interval for the
mean difference μd. - d. Which of the two inferential procedures, the confidence interval of part d or the test of hypothesis of part b. provides more information about the differences between the population means?
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
Statistics for Business and Economics (13th Edition)
Additional Math Textbook Solutions
The Practice of Statistics for AP - 4th Edition
Statistics for Business & Economics, Revised (MindTap Course List)
Business Statistics: A First Course (8th Edition)
Essentials of Statistics (6th Edition)
Fundamentals of Statistics (5th Edition)
Probability and Statistics for Engineering and the Sciences
- A sample of n= 64 scores is selected from a population with u =60 and o= 10. If the sample mean is M = 57, what is the z-score for this sample mean? Oz=-2.40 Oz=+1.00 Oz=-2.00 Oz= +4,00arrow_forwardx̅ = 50, µ =43, σ= 12 and n=16 conduct a two-tailed z-test. Use α = .01.arrow_forwardAn experiment was conducted to test the effect of a new cholesterol medicine. Fifteen people were treated with medicine X and 15 with medicine Y for a month, then the subjects' cholesterol level was measured. A significance test was conducted at the a = 0.01 level for the difference in the means of the cholesterol levels between medicine X and medicine Y. The test resulted in t = 2.73 and p = 0.003. If the alternative hypothesis in question was Ha: px - μy ‡ 0, where µx equals the mean cholesterol level for subjects taking medicine X and μy equals the mean cholesterol level for subjects taking medicine Y, what conclusion can be drawn? O There is not a significant difference in mean cholesterol level when using medicine X and medicine Y. O There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y. O There is sufficient evidence that medicine X lowers cholesterol levels more than medicine Y. O The proportion of subjects who…arrow_forward
- You are testing the null hypothesis that there is no relationship between two variables, X and Y. From your sample of n=22, you determine that SSR=60 and SSE=20. Find the test statistic, tSTAT. (Round to four decimal places as needed.)arrow_forwardA tax accountant would like to test the claim that the proportion of individuals who owe when filing their taxes is greater than 0.20. If the z− test statistic was calculated as z=1.94, does the tax accountant have enough evidence to reject the null hypothesis? Assume α=0.05.arrow_forwardThe price X (dollars per pound) and consumption y (in pounds per capita) of beef were samples for 10 randomly selected years. The following data should be used to answer the question that follows. n = 10 Ex = 36.19 Ix² = 134.17 2.9 < x s 6.2 Ey = 774.7 Iy² = 60739.23 Exy = 2832.21 Using this data, a student calculated SSy = 28.43 SSx = 3.2 SSy= 717. Calculate the %3D %3D value of the standard error or regression, Se , and enter you answer accurate to the nearest hundredth (2 decimal places).arrow_forward
- An experiment was conducted to test the effect of a new stain remover. Twenty stains were treated with stain remover A and stain remover B for a week, then the number of stains removed was measured. A significance test was conducted at the a = 0.10 level for the difference in the means of the number of stains removed between stain remover A and stain remover B. The test resulted in t = 1.37 and p = 0.17. If the alternative hypothesis in question is Ha: HA - HB #0, where μA equals the mean number of stains removed with stain remover A and μg equals the mean number of stains removed with stain remover B, what conclusion can be drawn? O There is a significant difference in the mean effectiveness of two stain removers. O There is sufficient evidence that stain remover A works better than stain remover B. O The proportion of stains that stain remover A removed is greater than the proportion of stains removed by stain remover B. O There is insufficient evidence that the proportion of stains…arrow_forwardWhen computing the Z value to compare between two samples of two populations, o2 is a parameter of the statistical equation. Select one: O True O Falsearrow_forwardThe NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?arrow_forward
- 3. In a test of Ho: µ = 85 against Ha: µ > 85, the sample data vield the sample statistic z = 1.64. Find %3D the p-value for the test.arrow_forwardThe price X (dollars per pound) and consumption y (in pounds per capita) of beef were samples for 10 randomly selected years. The following data should be used to answer the question that follows. n = 10 Ex = 36.19 Ix? = 134.17 2.9 s x s 6.2 Ey = 774.7 Ey? = 60739.23 Exy = 2832.21 %3D Using this data, a student calculated SSv = 28.43 Calculate a 95% confidence interval for the slope of the regression line. You only need to enter the upper limit of this confidence interval accurate to two decimal places. SSxx = 3.2 SSyy = 717 Se = 7.62 %3D %3Darrow_forwardOne-Sample T: Test of u = 34 vs not 34 %3D Variable Мean StDev SE Mean T P 16 35.274 1.783 а. b. 0.012 c. How many degrees of freedom are there on the t- test statistic? d. At what level of significance can the null hypothesis be rejected? e. If the alternative hypothesis is µ > 34, would the P-value have been larger or smaller? v a. a. P-value would be smaller v b. b. 15 v C. с. 11.43 v d. d. 2.8581 е. e. 0.4458 f. P-value = 0.012 We reject the null hypothesis if the P-valuearrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill