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Tutorial Exercise 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-sample t test at significance level 0.01 to test H:₁₂-10 versus H₂:₂₂ < -10 for the following data: m = 9,113.3, 5, -5.04, n=9 y-129.2, and s₂-5.32. Calculate the test statistic and determine the P-value. State the conclusion in the problem context. Step 1 To conduct a two-sample t test, first calculate the test statistic t. The formula for the test statistic is below, where we are given sample means - 113.3 and y-129.2, hypothesized difference 3-10, sample standard deviations s, - 5.04 and s₂-5.32, and sample sizes m-9 and n-9. Use these valu calculate t, rounded to one decimal place.

Tutorial Exercise 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-sample t test at significance level 0.01 to test H:₁₂-10 versus H₂:₂₂ < -10 for the following data: m = 9,113.3, 5, -5.04, n=9 y-129.2, and s₂-5.32. Calculate the test statistic and determine the P-value. State the conclusion in the problem context. Step 1 To conduct a two-sample t test, first calculate the test statistic t. The formula for the test statistic is below, where we are given sample means - 113.3 and y-129.2, hypothesized difference 3-10, sample standard deviations s, - 5.04 and s₂-5.32, and sample sizes m-9 and n-9. Use these valu calculate t, rounded to one decimal place.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise 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 Ho: ₁ - ₂ = -10 versus H₂ : ₁ - ₂ < -10 for the following data: m = 9, x = 113.3, s₁ = 5.04, n = 9, y = 129.2, and s₂ = 5.32. Calculate the test statistic and determine the P-value. State the conclusion in the problem context. Step 1 To conduct a two-sample t test, first calculate the test statistic t. The formula for the test statistic is below, where we are given sample means x = 113.3 and y = 129.2, hypothesized difference A = -10, sample standard deviations s₁ = 5.04 and 5₂ = 5.32, and sample sizes m = 9 and n = 9. Use these values to calculate t, rounded to one decimal place. x-y-A t = 5₁ $1 + V m 113.3- Submit 3.042 V9 5.32 9 - (-10) Skip (you cannot come back)
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise 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 Ho: ₁ - ₂ = -10 versus H₂ : ₁ - ₂ < -10 for the following data: m = 9, x = 113.3, s₁ = 5.04, n = 9, y = 129.2, and s₂ = 5.32. Calculate the test statistic and determine the P-value. State the conclusion in the problem context. Step 1 To conduct a two-sample t test, first calculate the test statistic t. The formula for the test statistic is below, where we are given sample means x = 113.3 and y = 129.2, hypothesized difference A = -10, sample standard deviations s₁ = 5.04 and 5₂ = 5.32, and sample sizes m = 9 and n = 9. Use these values to calculate t, rounded to one decimal place. x-y-A t = 5₁ $1 + V m 113.3- Submit 3.042 V9 5.32 9 - (-10) Skip (you cannot come back)
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