In: Statistics and Probability
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 = 114.5,
s1 = 5.06, n = 7, y = 129.9,
and s2 = 5.38.
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 | = |
State the conclusion in the problem context.
Reject H0. The data suggests that the difference between mean stopping distances is less than −10.
Reject H0. The data does not suggest that the difference between mean stopping distances is less than −10.
Fail to reject H0. 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.