3. 1/3 polnts | Previcus Answers Devorestat9 9.E.019 My Notes Ask Your Teacher S

Question

3. 1/3 polnts | Previcus Answers Devorestat9 9.E.019 My Notes Ask Your Teacher 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: 1-2 =-10 versus Hai 1-2 -10 for the following data: m' = 6, x 115.9, s1 = 5.04, n = 6, y = 129.6, 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 Ho. The data suggests that the difference between mean stopping distances is less than-10. Reject Ho. The data does not suggest that the difference between mean stopping distances is less than-10 Fail to reject Ho. The data suggests that the difference between mean stopping distances is less than 10 Fail to reject Ho. The data does not suggest that the difference between mean stopping distances is less than -10

Explanation / Answer

As per the Chegg policy, we are advised to do one question at a time so i am attempting the 3rd one.

3. The statistical software output for this problem is:

Two sample T summary hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = -10
HA : 1 - 2 < -10
(without pooled variances)

Hypothesis test results:

Hence,

t = -1.23

P - value = 0.124

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 -13.7 3.0095958 9.9576829 -1.229401 0.1236

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