A random sample of n₁ = 10 regions in New England gave the following violent crime rates (per million population). X₁: New England Crime Rate 3.3 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 4.7 5.5 3.3 4.8 3.5 2.4 3.1 LAUSE 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 State the null and alternate hypotheses. o Hỏi khi O Ho: H₁ O Ho: H₁ O Ho: H₁ 3.5 (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. (1) What is the level of significance? tải Hi khi tha H₂ H₂i H₂ # H₂ H₂i H₁: H₁ H₂ H₂i H₂: H₂ 0.250 O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. What is the value of the sample test statistic? (Test the difference #₁ - H₂. Round your answer to three decimal places.)
A random sample of n₁ = 10 regions in New England gave the following violent crime rates (per million population). X₁: New England Crime Rate 3.3 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 4.7 5.5 3.3 4.8 3.5 2.4 3.1 LAUSE 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 State the null and alternate hypotheses. o Hỏi khi O Ho: H₁ O Ho: H₁ O Ho: H₁ 3.5 (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. (1) What is the level of significance? tải Hi khi tha H₂ H₂i H₂ # H₂ H₂i H₁: H₁ H₂ H₂i H₂: H₂ 0.250 O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. What is the value of the sample test statistic? (Test the difference #₁ - H₂. Round your answer to three decimal places.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
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
O P-value < 0.005
Sketch the sampling distribution and show the area corresponding to the P-value.
^^^^
(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 fail to reject the null hypothesis and conclude the data are statistically significant.
O At the a
O At the a=
O At the a
0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.
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 Fail to reject the null hypothesis, there is sufficient 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 Reject the null hypothesis, there is insufficient evidence that violent crime in the Rocky Mountain region is higher than in New England.
O
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
3.3 3.7 4.0 3.9
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 4.7 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8
3.3 4.1 1.8 4.8 2.9 3.1
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 =
$1 =
X2
x₂ =
$2 =
(0)
(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.
What is the level of significance?
State the null and alternate hypotheses.
o Hoi thi khỏi Hội thi thê
-
o Hỏi khi tôi hỏi khi đi tha
o Hỏi khi khỏi Hai khi khô
o Hỏi khi tải Hi khi tha
(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 known standard deviations.
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 known standard deviations.
O The Student's t. We assume that both population distributions are approximately normal with unknown 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.
O P-value> 0.250
ܪܒ ܒ ܘ ܪ
Duslin0350
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 24 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill