Suppose u, and Hz 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-samplet test at significance level 0.01 to test H, Hq - H2 = -10 versus H,: H, - H2 < -10 for the following data: m = 5, x = 113.2, s, - 5.05, n = 5, y = 129.1, and s, - 5.39. A 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.) P-value - 0.000 State the conclusion in the problem context. Reject Ho. The data suggests that the difference between mean stopping distances is less than -10. Reject H,. The data does not suggest that the difference between mean stopping distances is less than -10. O Fail to reject H,. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question
Suppose 4, 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 H,Hq - Hz = -10 versus
H: 4, - 42 < -10 for the following data: m = 5, x = 113.2, s, = 5.05, n = 5, y = 129.1, and s, = 5.39.
n 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.)
P-value = 0.000
State the conclusion in the problem context.
O Reject H,. The data suggests that the difference between mean stopping distances is less than -10.
Reject H,. The data does not suggest that the difference between mean stopping distances is less than -10.
Fail to reject H,. The data suggests that the difference between mean stopping distances is less than -10.
O Fail to reject H. The data does not suggest that the difference between mean stopping distances is less than -10.
Transcribed Image Text:Suppose 4, 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 H,Hq - Hz = -10 versus H: 4, - 42 < -10 for the following data: m = 5, x = 113.2, s, = 5.05, n = 5, y = 129.1, and s, = 5.39. n 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.) P-value = 0.000 State the conclusion in the problem context. O Reject H,. The data suggests that the difference between mean stopping distances is less than -10. Reject H,. The data does not suggest that the difference between mean stopping distances is less than -10. Fail to reject H,. The data suggests that the difference between mean stopping distances is less than -10. O Fail to reject H. The data does not suggest that the difference between mean stopping distances is less than -10.
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Equality of Variances
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill