Suppose μ1 and μ2 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 H0: μ1 − μ2 = −10 versus Ha: μ1 − μ2 < −10 for the following data: m = 9, x = 114.5, s1 = 5.02, n = 9, y = 129.6, and s2 = 5.34. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
t = P-value =
The statistical software output for this problem is:
Hence,
t = -2.09
P - value = 0.027
Suppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a...
Suppose μ1 and μ2 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 H0: μ1 − μ2 = −10 versus Ha: μ1 − μ2 < −10 for the following data: m = 6, x = 114.5, s1 = 5.01, n = 6, y = 129.2, and s2 = 5.32. Calculate the test statistic and determine the...
Suppose μ1 and μ2 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 H0: μ1 − μ2 = −10 versus Ha: μ1 − μ2 < −10 for the following data: m = 7, x = 114.6, s1 = 5.03, n = 7, y = 129.4, and s2 = 5.35. Calculate the test statistic and determine the...
Suppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 8, x = 115.8, s1 = 5.04, n = 8, y = 129.7, and s2 = 5.33. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) ,...
Suppose ?1 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 H0: ??-?2--10 versus Hai ??-?2 -10 for the following data: m = 5, x-114.5, si-5.05, n = 5, y = 129. 2, and s2-5.36. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value...
Suppose u, and u, 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: M, - uy = -10 versus H: Uy-< -10 for the following data: m = 7, x = 114.8, 9, = 5.07, n = 7, y = 129.4, and s, = 5.33. Calculate the test statistic and determine the P-value. (Round your...
uppose μ1 and μ2 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 H0: μ1 − μ2 = −10 versus Ha: μ1 − μ2 < −10 for the following data: m = 7, x = 113.3, s1 = 5.09, n = 7, y = 129.2, and s2 = 5.36. Calculate the test statistic and determine the...
Suppose ui and M2 are true mean stopping distances (in feet) 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 .01 to test: Ho: M1 - U2 = -10 Car Type 1: m = 6, X = 115.7, S1 = 5.03 Ha:: M1-M2 < -10 Car Type 2: n = 6, y = 129.3, and s2 = 5.38 Provide an explanation for the result...
and 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 Hi H, - H, = -10 Suppose versus H - l, < -10 for the following data: m = 7, x = 115.8, s = 5.08, 7, y = 129,4, and s = 5.31. Calculate the test statistic and determine the P-value. (Round your test statistic...
Suppose u, and u, 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 - -10 versus H,:,-2-10 for the following data: m 6, x 114,3, s,-5.04, n-6, y 129.2, and s, 5.37 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)...
0-11 points Devorestaly 9.2.01 Suppose , and, 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-sampler test at significance level 0.01 to test Mo H. - H2 - - 10 versus M -H2 < -10 for the following data: m = 3x - 113.6, 5, -5.04, n=8,7 = 129.1, and sy 5.31. Calculate the test statistic and determine the p-value. (Round your test statistic...