Quiz #6 - Chapter 6: Sampling Error & Sampling Distribution Flashcards
Standard error is larger with a _______ sample size and/or a _______ population variance. Select one:
A: larger, larger
B: larger, smaller
C: smaller, smaller
D: smaller, larger
D: smaller, larger
A psychologist administers an anxiety questionnaire to 400 college students and obtained a mean anxiety score of 100 with a standard error of the mean equal to 0.2. What is the sample standard deviation (keep no decimals)?
4
A psychologist studying exam anxiety administers a questionnaire to 100 UCLA college students and obtains a mean anxiety score of 20. Considering the difference between this estimate and the parameter, which of the following statements is true?
A: The mean anxiety score in the population must be higher than 20
B: The mean anxiety score in the population could be higher or lower than 20
C: The sample size determines whether this estimate is higher or lower than the population mean
D: The mean anxiety score in the population must be lower than 20
B: The mean anxiety score in the population could be higher or lower than 20
A psychologist studying exam anxiety administers a questionnaire to 100 UCLA college students and obtains a mean anxiety score of 20. Another psychologist administers the same exam anxiety questionnaire to 100 USC college students and obtains a mean anxiety score. Which of the following statements is true?
A: The new mean will be lower than 20
B: The new mean could be higher or lower than 20
C: The sample size determines whether the new mean is higher or lower
D: The new mean will be higher than 20
B: The new mean could be higher or lower than 20
A psychologist administered an exam anxiety questionnaire to 400 UCLA college students and obtained a mean anxiety score of 25 with a standard error of the mean equal to 0.25. Which of the following interpretations is correct for the standard error? Check all that apply.
A: If the researcher took another sample of any size, the mean should change by 0.25, on average
B: A sample mean based on N = 400 should differ from the population mean by 0.25, on average
C: The standard deviation of the many sample means from samples of size N=400 is 0.25
D: The standard deviation of the sampling distribution is 0.25
E: The average distance between an anxiety score and the population mean is 0.25
F: The average distance between an anxiety score and the sample mean is 0.25
G: The average size of deviation scores is 0.25
H: The average amount of sampling error is 0.25
B: A sample mean based on N = 400 should differ from the population mean by 0.25, on average
C: The standard deviation of the many sample means from samples of size N=400 is 0.25
D: The standard deviation of the sampling distribution is 0.25
H: The average amount of sampling error is 0.25
A psychologist studying exam anxiety administers a questionnaire to 400 UCLA college students and obtains a mean anxiety score of 25 and a standard deviation of 5. Which of the following interpretations is correct for this sample standard deviation? Check all that apply.
A: If the researcher took another sample of any size, the mean should change by 5, on average
B: The average size of deviation scores is 5
C: The average distance between an anxiety score and the sample mean is 5
D: The average distance between an anxiety score and the population mean is 5
E: The average amount of sampling error is 5
F: The standard deviation of the many sample means from samples of size N=400 is 5
G: A sample mean based on N = 400 should differ from the population mean by 5, on average
H: The standard deviation of the sampling distribution is 5
B: The average size of deviation scores is 5
C: The average distance between an anxiety score and the sample mean is 5
A group of psychologists administered an exam anxiety questionnaire to 1000 colleges in the US (200 students per school) and obtained 1000 means of anxiety scores. They created a histogram (sampling distribution) of the 1000 sample means. Which of the following best describes the likely shape of this distribution?
A: Normal distribution
B: Positively skewed
C: Uniform distribution
D: Negatively skewed
A: Normal distribution
A group of psychologists is interested in college students’ exam anxiety levels in the United States. They found a way to administer the exam anxiety questionnaire to all college students in the US, finding a mean of 25. What does the value of 25 represent?
A: Sample
B: Parameter
C: Population
D: Estimate
B: Parameter
Why do we need to emphasize “with the same sample size” in describing a sampling distribution? Check all that apply.
A: Samples with different sample sizes don’t come from the same sampling distribution
B: Sample size influences the standard error
C: Sample size influences the center of the sampling distribution
D: Sample size influences the spread of sampling distribution
A: Samples with different sample sizes don’t come from the same sampling distribution
B: Sample size influences the standard error
D: Sample size influences the spread of sampling distribution
Researchers are interested in the average age of all university students (same population). Researcher A collects 1000 independent samples of size 20. Researcher B collects 1000 independent samples of size 100. If both researchers plot each of their estimates, whose distribution will have a smaller variance?
A: Researcher A
B: Both will be the same
C: Researcher B
C: Researcher B
If the mean in the population is 5 and a researcher obtained a sample mean of 4.25, what is the sampling error (keep 2 decimals)?
-0.75
A researcher collected a sample of SAT scores from 200 high school students with a sample mean of 1000. Let’s say that we knew that in the population the mean SAT score is 1200. If I take the difference of the sample mean and the population mean (1000-1200=-200), what does this represent?
A: Sampling error
B: Standard deviation
C: Mean difference score
D: Distance score
A: Sampling error
True or false: You can create a sampling distribution of means, standard deviations, or kurtosis.
A: True
B: False
A: True
