Distribution Needed for Hypothesis Testing Quiz
The question sheet
Reveal any answer as you study-
For a single population mean, what is the mean of the normal distribution used?
- q
- p
- σ
- μ
Reveal answer
Answer: μ
Source evidence
PDF page 562: • For a single population mean, we may use a normal
PDF page 562: distribution with the following mean and standard σx
PDF page 562: deviation. Means: μ = μ ̄ and σ ̄ = .
-
When testing a single population mean with unknown standard deviation, which distribution applies?
- Uniform
- Normal
- Student's t
- Exponential
Reveal answer
Answer: Student's t
Source evidence
PDF page 562: • Single population mean, unknown population variance
PDF page 562: (or standard deviation): Student's t-test.
-
For a single population proportion, we may use which distribution?
- Normal
- Student's t
- Uniform
- Exponential
Reveal answer
Answer: Normal
Source evidence
PDF page 562: • For a single population proportion, we may use a
PDF page 562: normal distribution with the following mean and pq
-
When variance is known for a single mean test, which distribution is used?
- Chi-square
- Student's t
- F
- Normal
Reveal answer
Answer: Normal
Source evidence
PDF page 562: • Single population mean, known population variance
PDF page 562: (or standard deviation): Normal test.
-
In the homework study, what is stated about the population distribution?
- It is skewed
- It is exponential
- It is uniform
- It is normal
Reveal answer
Answer: It is normal
Source evidence
PDF page 563: was then done to see if the mean time has increased in the new century. A random sample of 26 students. The mean length of time the students spent on homework was 3 hours with a standard deviation of 1.8 hours. 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 homework has increased, what would the null and alternative hypotheses be? The distribution of the population is normal.
-
In the homework example, what was the known population standard deviation?
- 26
- 1.5
- 1.8
- 3.0
Reveal answer
Answer: 1.5
Source evidence
PDF page 563: was then done to see if the mean time has increased in the new century. A random sample of 26 students. The mean length of time the students spent on homework was 3 hours with a standard deviation of 1.8 hours. 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 homework has increased, what would the null and alternative hypotheses be? The distribution of the population is normal.
-
In the homework example, what sample size of students was used?
- 15
- 26
- 100
- 75
Reveal answer
Answer: 26
Source evidence
PDF page 563: was then done to see if the mean time has increased in the new century. A random sample of 26 students. The mean length of time the students spent on homework was 3 hours with a standard deviation of 1.8 hours. 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 homework has increased, what would the null and alternative hypotheses be? The distribution of the population is normal.
-
In the marathon runners survey, what was the sample size?
- 100
- 26
- 75
- 17
Reveal answer
Answer: 75
Source evidence
PDF page 563: 9. A random survey of 75 long-term marathon runners revealed that the mean length of time they've been running is 17.4
-
In the marathon runners survey, what was the standard deviation of running years?
- 6.3
- 15
- 1.5
- 17.4
Reveal answer
Answer: 6.3
Source evidence
PDF page 563: years with a standard deviation of 6.3 years. If you were conducting a hypothesis test to determine if the population mean time for these runners could likely be 15 years, what would the null and alternative hypotheses be?
-
In the marathon runners example, what mean time is being tested?
- 17.4 years
- 15 years
- 75 years
- 6.3 years
Reveal answer
Answer: 15 years
Source evidence
PDF page 563: years with a standard deviation of 6.3 years. If you were conducting a hypothesis test to determine if the population mean time for these runners could likely be 15 years, what would the null and alternative hypotheses be?
-
In the disease survey, how many of the 100 people surveyed suffered from the disease?
- Seven
- Ten
- Five
- Fifteen
Reveal answer
Answer: Seven
Source evidence
PDF page 563: from a particular type of disease. Suppose that in a survey of 100 people in a certain town, seven of them suffered from this disease. If you were conducting a hypothesis test to determine if the true proportion of people in that town suffering from this disease is lower than the percentage in the general adult American population, what would the null and alternative hypotheses be?
-
In the marathon example, what was the mean length of running time reported?
- 17.4 years
- 6.3 years
- 3 hours
- 15 years
Reveal answer
Answer: 17.4 years
Source evidence
PDF page 563: 9. A random survey of 75 long-term marathon runners revealed that the mean length of time they've been running is 17.4
High School Statistics
High School Statistics by OpenStax, used under CC BY 4.0. Changes made by Stratacademy.
Make your own — free
Turn any notes into a game in under a minute. Free to start.