Distribution Needed for Hypothesis Testing Quiz
The question sheet
Reveal any answer as you study-
For a single population mean with known population variance, which test is used?
- F test
- Chi-square test
- Student's t-test
- Normal test
Reveal answer
Answer: Normal test
Source evidence
PDF page 544: • Single population mean, known population variance
PDF page 544: (or standard deviation): Normal test.
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For a single population proportion, which test is used?
- Normal test
- F test
- Student's t-test
- Chi-square test
Reveal answer
Answer: Normal test
Source evidence
PDF page 544: • Single population proportion: Normal test.
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If there is no preconceived α given, what value should be used?
- α = 0.025
- α = 0.05
- α = 0.10
- α = 0.01
Reveal answer
Answer: α = 0.05
Source evidence
PDF page 544: If there is no given preconceived α, then use α = 0.05.
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For a single population mean using a normal distribution, the mean is set equal to:
- μ = μ̄
- μ = p
- μ = σ
- μ = 0
Reveal answer
Answer: μ = μ̄
Source evidence
PDF page 544: distribution with the following mean and standard σx
PDF page 544: deviation. Means: μ = μ ̄ and σ ̄ =
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For a single population mean or proportion, which distribution may be used?
- Chi-square
- F distribution
- Student's t
- Normal distribution
Reveal answer
Answer: Normal distribution
Source evidence
PDF page 544: • For a single population mean, we may use a normal
PDF page 544: distribution with the following mean and standard σx
PDF page 544: • A single population proportion, we may use a
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In the death row survey of 75 inmates, the mean length of time on death row was:
- 6.3 years
- 17.4 years
- 3 years
- 15 years
Reveal answer
Answer: 17.4 years
Source evidence
PDF page 545: 9. A random survey of 75 death row inmates revealed that the mean length of time on death row is 17.4 years with a
PDF page 545: standard deviation of 6.3 years. If you were conducting a hypothesis test to determine if the population mean time on death row could likely be 15 years, what would the null and alternative hypotheses be?
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In the death row survey, the standard deviation of time on death row was:
- 6.3 years
- 1.8 years
- 1.5 years
- 17.4 years
Reveal answer
Answer: 6.3 years
Source evidence
PDF page 545: 9. A random survey of 75 death row inmates revealed that the mean length of time on death row is 17.4 years with a
PDF page 545: standard deviation of 6.3 years. If you were conducting a hypothesis test to determine if the population mean time on death row could likely be 15 years, what would the null and alternative hypotheses be?
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For the death row test, what value is the population mean being tested against?
- 6.3 years
- 15 years
- 75 years
- 17.4 years
Reveal answer
Answer: 15 years
Source evidence
PDF page 545: standard deviation of 6.3 years. If you were conducting a hypothesis test to determine if the population mean time on death row could likely be 15 years, what would the null and alternative hypotheses be?
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In the burglary jail-time study, how many first-time convicted burglars were sampled?
- 100
- 26
- 3
- 75
Reveal answer
Answer: 26
Source evidence
PDF page 545: 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 with a standard deviation of 1.8 years. Suppose that it is somehow known that the population standard deviation is 1.5. If you were conducting a hypothesis test to determine if the mean length of jail time has increased, what would the null and alternative hypotheses be? The distribution of the population is normal.
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In the burglary study, the mean length of jail time from the survey was:
- 17.4 years
- 1.5 years
- 3 years
- 1.8 years
Reveal answer
Answer: 3 years
Source evidence
PDF page 545: 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 with a standard deviation of 1.8 years. Suppose that it is somehow known that the population standard deviation is 1.5. If you were conducting a hypothesis test to determine if the mean length of jail time has increased, what would the null and alternative hypotheses be? The distribution of the population is normal.
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In the burglary study, the sample standard deviation was:
- 1.8 years
- 1.5 years
- 3 years
- 6.3 years
Reveal answer
Answer: 1.8 years
Source evidence
PDF page 545: 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 with a standard deviation of 1.8 years. Suppose that it is somehow known that the population standard deviation is 1.5. If you were conducting a hypothesis test to determine if the mean length of jail time has increased, what would the null and alternative hypotheses be? The distribution of the population is normal.
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In the burglary study, the known population standard deviation was:
- 1.8 years
- 1.5 years
- 26 years
- 3 years
Reveal answer
Answer: 1.5 years
Source evidence
PDF page 545: 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 with a standard deviation of 1.8 years. Suppose that it is somehow known that the population standard deviation is 1.5. If you were conducting a hypothesis test to determine if the mean length of jail time has increased, what would the null and alternative hypotheses be? The distribution of the population is normal.
Introductory Statistics
Introductory Statistics by OpenStax, used under CC BY 4.0. Changes made by Stratacademy.
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