Deck 6: Introduction to Inferential Statistics

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Question
What is the value of the standard error of the mean if the test scores from a population of 25 students have a mean of 50 and a standard deviation of 15?

A) 2.0
B) 3.0
C) 3.06
D) 3.27
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Question
If the standard error of the mean is 4.0 and the sample mean is 37, what is the 95% confidence level containing the population mean (to the nearest tenth)?

A) 29.0-45.0
B) 29.2-44.8
C) 33.0-41.0
D) 33.2-41.8
Question
Which of the following is the difference between a parameter and a statistic?

A) Alpha error
B) Sampling error
C) Standard error
D) Beta error
Question
Which change results in reducing the value of the standard error of the mean?

A) Increasing the range
B) Decreasing the size of the sample
C) Increasing the sample standard deviation
D) Increasing the size of the sample
Question
The standard error of the mean calculated from a sample of 16 subjects is 5. What is the standard deviation of the sample?

A) 3.2
B) 4.0
C) 20.0
D) 80.0
Question
Which method of sampling is random?

A) When a large number of subjects are selected
B) When the possible number of subjects is infinite
C) When every member of the population has an equal chance of being selected
D) When every member of the population is selected
Question
Which of the following situations, if either, illustrate(s) a proper simple random selection process?
(1) A sample is obtained by selecting 10 male and 10 female students from a student organization to represent the student population.
(2) A sample is obtained by assigning every athlete on campus a unique number and using a lottery to select 20 athletes to represent the student population.

A) #1 only
B) #2 only
C) Both #1 and #2
D) Neither #1 or #2
Question
In a study of four types of mouthpieces used by high school football players, it was found that all four were equal in terms of protection. The study also revealed that 92% of the football players from 12 of the 400 high schools in the state reported that there was no discomfort from wearing the mouthpieces. What type of statistic is 92%?

A) An estimate computed from sample data
B) A parameter computed from sample data
C) An estimate computed from population data
D) A parameter computed from population data
Question
Typically, which hypothesis suggests a difference between groups and which hypothesis suggests no difference between groups, respectively?

A) Research; Null
B) Alternate; Research
C) Null; Research
D) Null; Alternate
Question
When is the mean of a sampling distribution equal to the population parameter being measured?

A) When the sample size is 30 or larger
B) When the statistic sampled is normally distributed
C) When an unbiased statistic is used
D) When the samples drawn are independent
Question
The width of a confidence interval around a sample mean depends on which of the following?

A) The sample size
B) The population variance
C) The level of confidence
D) All of the above
Question
How can the size of the confidence interval containing the mean be made smaller?

A) Use a 99% percent confidence level rather than a 95% percent.
B) Increase the value of the standard error.
C) Decrease the sample size.
D) Decrease the variance by redefining the population to a narrower population.
Question
Which hypothesis is LEAST like the others?

A) Research
B) Alternative
C) Null
Question
Which hypothesis is used to make a statistical decision about the relationship between variables?

A) Research
B) Alternative
C) Null
Question
What occurs in inferential statistics?

A) Inferring from a sample to a population
B) Testing statistical significance
C) Neither A nor B
D) Both A and B
Question
What is the standard error of the sampling distribution of the statistic G?

A) The mean of repeated samples of statistic G
B) The number of samples drawn on statistic G
C) The size of the sample drawn to estimate the statistic G
D) The standard deviation of the distribution of repeated estimates of G
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Deck 6: Introduction to Inferential Statistics
1
What is the value of the standard error of the mean if the test scores from a population of 25 students have a mean of 50 and a standard deviation of 15?

A) 2.0
B) 3.0
C) 3.06
D) 3.27
B
2
If the standard error of the mean is 4.0 and the sample mean is 37, what is the 95% confidence level containing the population mean (to the nearest tenth)?

A) 29.0-45.0
B) 29.2-44.8
C) 33.0-41.0
D) 33.2-41.8
B
3
Which of the following is the difference between a parameter and a statistic?

A) Alpha error
B) Sampling error
C) Standard error
D) Beta error
B
4
Which change results in reducing the value of the standard error of the mean?

A) Increasing the range
B) Decreasing the size of the sample
C) Increasing the sample standard deviation
D) Increasing the size of the sample
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5
The standard error of the mean calculated from a sample of 16 subjects is 5. What is the standard deviation of the sample?

A) 3.2
B) 4.0
C) 20.0
D) 80.0
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6
Which method of sampling is random?

A) When a large number of subjects are selected
B) When the possible number of subjects is infinite
C) When every member of the population has an equal chance of being selected
D) When every member of the population is selected
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7
Which of the following situations, if either, illustrate(s) a proper simple random selection process?
(1) A sample is obtained by selecting 10 male and 10 female students from a student organization to represent the student population.
(2) A sample is obtained by assigning every athlete on campus a unique number and using a lottery to select 20 athletes to represent the student population.

A) #1 only
B) #2 only
C) Both #1 and #2
D) Neither #1 or #2
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8
In a study of four types of mouthpieces used by high school football players, it was found that all four were equal in terms of protection. The study also revealed that 92% of the football players from 12 of the 400 high schools in the state reported that there was no discomfort from wearing the mouthpieces. What type of statistic is 92%?

A) An estimate computed from sample data
B) A parameter computed from sample data
C) An estimate computed from population data
D) A parameter computed from population data
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9
Typically, which hypothesis suggests a difference between groups and which hypothesis suggests no difference between groups, respectively?

A) Research; Null
B) Alternate; Research
C) Null; Research
D) Null; Alternate
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10
When is the mean of a sampling distribution equal to the population parameter being measured?

A) When the sample size is 30 or larger
B) When the statistic sampled is normally distributed
C) When an unbiased statistic is used
D) When the samples drawn are independent
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11
The width of a confidence interval around a sample mean depends on which of the following?

A) The sample size
B) The population variance
C) The level of confidence
D) All of the above
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12
How can the size of the confidence interval containing the mean be made smaller?

A) Use a 99% percent confidence level rather than a 95% percent.
B) Increase the value of the standard error.
C) Decrease the sample size.
D) Decrease the variance by redefining the population to a narrower population.
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13
Which hypothesis is LEAST like the others?

A) Research
B) Alternative
C) Null
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14
Which hypothesis is used to make a statistical decision about the relationship between variables?

A) Research
B) Alternative
C) Null
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15
What occurs in inferential statistics?

A) Inferring from a sample to a population
B) Testing statistical significance
C) Neither A nor B
D) Both A and B
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16
What is the standard error of the sampling distribution of the statistic G?

A) The mean of repeated samples of statistic G
B) The number of samples drawn on statistic G
C) The size of the sample drawn to estimate the statistic G
D) The standard deviation of the distribution of repeated estimates of G
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