A random sample of n₁ = 10 regions in New England gave the following violent crime rates (per million population). X₁: New England Crime Rate 3.5 3.7 4.0 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n₂ = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). X2: Rocky Mountain Crime Rate 3.5 4.3 4.5 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 USE SALT Assume that the crime rate distribution is approximately normal in both regions. (a) Use a calculator to calculate x1, S1, X2, and S₂. (Round your answers to four decimal places.) X1 = S1 = x2 = $2 = (b) Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use a = 0.01. (0) What is the level of significance? State the null and alternate hypotheses. o Hỏi thì = tôi hi thi H2 o Hoi thi khỏi Hi khi tha o Hỏi thi = khỏi Hai khi o Hỏi khi khai Hi khi khô khô (ii) What sampling distribution will you use? What assumptions are you making? O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. O The standard normal. We assume that both population distributions are approximately normal with known standard deviations. What is the value of the sample test statistic? (Test the difference #₁ - ₂. Round your answer to three decimal places.) (iii) Find (or estimate) the P-value.
A random sample of n₁ = 10 regions in New England gave the following violent crime rates (per million population). X₁: New England Crime Rate 3.5 3.7 4.0 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n₂ = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). X2: Rocky Mountain Crime Rate 3.5 4.3 4.5 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 USE SALT Assume that the crime rate distribution is approximately normal in both regions. (a) Use a calculator to calculate x1, S1, X2, and S₂. (Round your answers to four decimal places.) X1 = S1 = x2 = $2 = (b) Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use a = 0.01. (0) What is the level of significance? State the null and alternate hypotheses. o Hỏi thì = tôi hi thi H2 o Hoi thi khỏi Hi khi tha o Hỏi thi = khỏi Hai khi o Hỏi khi khai Hi khi khô khô (ii) What sampling distribution will you use? What assumptions are you making? O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. O The standard normal. We assume that both population distributions are approximately normal with known standard deviations. What is the value of the sample test statistic? (Test the difference #₁ - ₂. Round your answer to three decimal places.) (iii) Find (or estimate) the P-value.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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