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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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(iii) Find (or estimate) the P-value. OP-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005< P-value < 0.025 OP-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. O -4 -2 0 2 2 M 2 DO Q -2 -2 (iv) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a= 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. (v) Interpret your conclusion in the context of the application. O Fail to reject the null hypothesis, there is insufficient evidence that violent crime in the Rocky Mountain region is higher than in New England. O Reject the null hypothesis, there is insufficient evidence that violent crime in the Rocky Mountain region is higher than in New England. O Reject the null hypothesis, there is sufficient evidence that violent crime in the Rocky Mountain region is higher than in New England. O Fail to reject the null hypothesis, there is sufficient evidence that violent crime in the Rocky Mountain region is higher than in New England. 0
Transcribed Image Text:(iii) Find (or estimate) the P-value. OP-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005< P-value < 0.025 OP-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. O -4 -2 0 2 2 M 2 DO Q -2 -2 (iv) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a= 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. (v) Interpret your conclusion in the context of the application. O Fail to reject the null hypothesis, there is insufficient evidence that violent crime in the Rocky Mountain region is higher than in New England. O Reject the null hypothesis, there is insufficient evidence that violent crime in the Rocky Mountain region is higher than in New England. O Reject the null hypothesis, there is sufficient evidence that violent crime in the Rocky Mountain region is higher than in New England. O Fail to reject the null hypothesis, there is sufficient evidence that violent crime in the Rocky Mountain region is higher than in New England. 0
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 4.3 4.5 5.5 3.3 4.8 $2 S₂ 3.5 = (1) 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 = (b) Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use α = 0.01. What is the level of significance? 3.5 State the null and alternate hypotheses. o Hoi thi = tôi hi hi H2 O Ho: M1 = H₂; H₁ H₂ # H₂ o Hoi thi = tôi hi khi tha o Hỏi khi tôi hi thi = t2 2.4 3.1 3.5 5.2 2.8 (iii) Find (or estimate) the P-value. (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. 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.)
Transcribed Image Text: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 4.3 4.5 5.5 3.3 4.8 $2 S₂ 3.5 = (1) 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 = (b) Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use α = 0.01. What is the level of significance? 3.5 State the null and alternate hypotheses. o Hoi thi = tôi hi hi H2 O Ho: M1 = H₂; H₁ H₂ # H₂ o Hoi thi = tôi hi khi tha o Hỏi khi tôi hi thi = t2 2.4 3.1 3.5 5.2 2.8 (iii) Find (or estimate) the P-value. (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. 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.)
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