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 P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
t =
P-value =
A)State the conclusion in the problem context.
B)Reject H0. The data suggests that the difference between mean stopping distances is less than −10.
C)Reject H0. The data does not suggest that the difference between mean stopping distances is less than −10. Fail to reject H0.
D)The data suggests that the difference between mean stopping distances is less than −10. Fail to reject H0. The data does not suggest that the difference between mean stopping distances is less than −10.
The statistical software output for this problem is:
Hence,
t = -1.73
P - value = 0.055
Fail to reject H0. The data does not suggest that the difference between mean stopping distances is less than −10.
Suppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a...
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