Suppose μ₁ and ₂ are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. Use the two-sample t test at significance level 0.01 to test Ho: M₁ - ₂ = -10 versus H₂: ₁-₂ < -10 for the following data: m = 8, x = 113.2, s₁=5.05, n = 8, y = 129.1, and s₂ = 5.35. USE SALT Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. O Reject Ho. The data suggests that the difference between mean stopping distances is less than -10. O Reject Ho. The data does not suggest that the difference between mean stopping distances is less than -10. O Fail to reject Ho. The data suggests that the difference between mean stopping distances is less than -10. O Fail to reject Ho. The data does not suggest that the difference between mean stopping distances is less than 10.

Suppose that you had collected the following sample data (in inches) on the diameters of tree trunks, measured at waist level and growing at 2000’ elevation in the Cascade Mountains: 9.0, 6.2, 6.5, 7.0, 10.5 and 8.8. The sample Inter Quartile Range is: (a) 5.5 (b) 4.5 (c) 3.5 (d) 2.5 (e) 4.0 (f) None of the above

Is the proportion of wildfires caused by humans in the south lower than the proportion of wildfires caused by humans in the west? 360 of the 501 randomly selected wildfires looked at in the south were caused by humans while 435 of the 588 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the  = 0.10 level of significance?   For this study, we should use Select an answer t-test for the difference between two dependent population means z-test for the difference between two population proportions t-test for a population mean t-test for the difference between two independent population means z-test for a population proportion  The null and alternative hypotheses would be:          Select an answer μ1 p1  Select an answer < ≠ > =  Select an answer μ2 p2  (please enter a decimal)       Select an answer μ1 p1  Select an answer > ≠ < =  Select an answer p2 μ2  (Please enter a decimal) The test statistic ? z t  =  (please show your…

You wish to test the following claim (Ha) at a significance level of a = 0.02. For the context of this problem, 44 = PostTest - PreTest where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your 4i and u2 are so that the differences are computed correctly.) H.:Hd = 0 0 + Prl : "H You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 44.8 52.3 47.6 44.1 56.6 51.2 50.4 54.8 55.4 58.9 38 44.1 32.1 36 41.7 52.6 36.9 45.9 50.8 55 52.5 65.8 35.7 38.5 39.3 30.8 36.4 33.4 53.7 60 What is the test statistic for this sample? test statistic = (Report answer accurate to 4 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.) The p-value is... O less than (or…

A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of α = 0.05. Click here to view a table of critical values for the correlation coefficient. Determine the null and alternative hypotheses. Ho: P H₁: p (Type # V 11 > cimals. Do not round.) ... Correlation matrix: Variables Paper Glass 10.1768 Paper Glass 0.1768 1