Suppose that a recent article by a historian stated that the mean time spent in jail by a first–time convicted burglar in the 20th century was 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 26 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was 3 years. Suppose that it is somehow known that the population standard deviation is 1.8 years and that the population is normally distributed. The hypotheses can then be framed as: H0 : μ = 2.5 vs. Ha : μ > 2.5 (a) Which of the following figures (next page) best describes the p-value for this hypothesis testing problem. Explain your reasoning. (numbers above red shaded area represent the corresponding probabilities). (b) Write the decision and conclusion for this hypothesis testing problem if the significance level, α, is 0.1.
Suppose that a recent article by a historian stated that the mean time spent in jail by a first–time convicted burglar in the 20th century was 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 26 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was 3 years. Suppose that it is somehow known that the population standard deviation is 1.8 years and that the population is normally distributed. The hypotheses can then be framed as: H0 : μ = 2.5 vs. Ha : μ > 2.5 (a) Which of the following figures (next page) best describes the p-value for this hypothesis testing problem. Explain your reasoning. (numbers above red shaded area represent the corresponding probabilities). (b) Write the decision and conclusion for this hypothesis testing problem if the significance level, α, is 0.1.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
Related questions
Question
Suppose that a recent article by a historian stated that the mean time spent in jail by a first–time
convicted burglar in the 20th century was 2.5 years. A study was then done to see if the mean time has increased
in the new century. A random sample of 26 first-time convicted burglars in a recent year was picked. The mean
length of time in jail from the survey was 3 years. Suppose that it is somehow known that the population standard
deviation is 1.8 years and that the population is normally distributed.
The hypotheses can then be framed as:
H0 : μ = 2.5 vs. Ha : μ > 2.5
(a) Which of the following figures (next page) best describes the p-value for this hypothesis testing
problem. Explain your reasoning. (numbers above red shaded area represent the corresponding probabilities).
convicted burglar in the 20th century was 2.5 years. A study was then done to see if the mean time has increased
in the new century. A random sample of 26 first-time convicted burglars in a recent year was picked. The mean
length of time in jail from the survey was 3 years. Suppose that it is somehow known that the population standard
deviation is 1.8 years and that the population is normally distributed.
The hypotheses can then be framed as:
H0 : μ = 2.5 vs. Ha : μ > 2.5
(a) Which of the following figures (next page) best describes the p-value for this hypothesis testing
problem. Explain your reasoning. (numbers above red shaded area represent the corresponding probabilities).
(b) Write the decision and conclusion for this hypothesis testing problem if the significance level, α,
is 0.1.
is 0.1.
Transcribed Image Text:D
8
ON
1.42
0.07780
0.07780
Density
Density
20
ů
R
A
B
ON
R
B
NO
0.07780
0.1
Density
Density
2
0.3
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