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)
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Chapter1: Combinatorial Analysis
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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)
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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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