Deck 5: Introduction to Probability and Sample Statistics

Question 1

A bowl contains 20 balls: 6 red, 2 orange, 5 yellow, 3 blue, 4 green. The probability that a ball selected at random is orange is equal to which one of the following?

A) 2/15
B) 3/15
C) 4/15
D) 5/15
E) Cannot be determined

Answer 1

A

Question 2

A bowl contains 15 balls: 5 red, 3 orange, 4 yellow, and 3 blue. The probability that a ball selected at random is yellow is equal to which one of the following?

A) 3/15
B) 4/15
C) 5/15
D) Cannot be determined

Answer 2

4/15

Question 3

A basket contains 50 cubes: 20 purple, 15 pink, 10 white, and 5 yellow. The probability that a cube selected at random is purple is equal to which one of the following?

A) 5/50
B) 10/50
C) 15/50
D) 20/50
E) Cannot be determined

Answer 3

D

Question 4

A basket contains 25 balls: 5 polka dotted; 9 plaid; 3 striped; 8 solids. The probability that a ball selected at random is polka dotted is equal to which one of the following?

A) 3/25
B) 5/25
C) 8/25
D) 9/25
E) Cannot be determined

Question 5

A basket contains 40 balls: 10 polka dotted; 7 plaid; 12 striped; 11 solids. The probability that a ball selected at random is striped is equal to which one of the following?

A) 7/40
B) 10/40
C) 11/40
D) 12/40
E) Cannot be determined

Question 6

A basket contains 12 cubes: 4 pink, 6 purple, and 2 yellow. The probability that a cube selected at random is purple is equal to which one of the following?

A) 2/12
B) 4/12
C) 6/12
D) Cannot be determined

Question 7

A researcher collects salary information from the first 30 employees in the human resources roster. Which of the following sampling method is implied by this scenario?

A) convenient sampling
B) simple random sampling with replacement
C) simple random sampling without replacement
D) systematic sampling

Question 8

A researcher collects heart rate data on the first 100 newborn babies at the hospital. Which of the following sampling method is implied by this scenario?

A) convenient sampling
B) simple random sampling with replacement
C) simple random sampling without replacement
D) systematic sampling

Question 9

A researcher collects weight loss data from individuals who attend Weight Watchers on Monday. Which of the following sampling method is implied by this scenario?

A) convenient sampling
B) simple random sampling with replacement
C) simple random sampling without replacement
D) systematic sampling

Question 10

A researcher collects data on the number of minutes exercised from the first 50 members who walk into the gym. Which of the following sampling method is implied by this scenario?

A) convenient sampling
B) simple random sampling with replacement
C) simple random sampling without replacement
D) systematic sampling

Question 11

A researcher collects survey data from students who attend class on the day the survey is distributed. Which of the following sampling method is implied by this scenario?

A) convenient sampling
B) simple random sampling with replacement
C) simple random sampling without replacement
D) systematic sampling

Question 12

A researcher collects data from employers on their satisfaction with the college graduates that have hired. Surveys were sent to employers whose names were provided on the exit surveys completed by the college graduates. Which of the following sampling methods is implied by this scenario?

A) convenient sampling
B) simple random sampling with replacement
C) simple random sampling without replacement
D) systematic sampling

Question 13

A researcher collects data from every other employee in the human resources database. Which of the following sampling methods is implied by this scenario?

A) convenient sampling
B) simple random sampling with replacement
C) simple random sampling without replacement
D) systematic sampling

Question 14

A researcher wants their sampling method to be such that every 15^th person through the door is selected. Which of the following is the most appropriate sampling method?

A) convenient sampling
B) simple random sampling with replacement
C) simple random sampling without replacement
D) systematic sampling

Question 15

A researcher wants their sampling method to be such that every 25^th visitor in the population is selected. Which of the following is the most appropriate sampling method?

A) convenient sampling
B) simple random sampling with replacement
C) simple random sampling without replacement
D) systematic sampling

Question 16

A researcher wants their sampling method to be such that every 30^th person in the population is selected. Which of the following is the most appropriate sampling method?

A) convenient sampling
B) simple random sampling with replacement
C) simple random sampling without replacement
D) systematic sampling

Question 17

A researcher wants their sampling method to be such that every 5^th teacher in the population is selected. Which of the following is the most appropriate sampling method?

A) convenient sampling
B) simple random sampling with replacement
C) simple random sampling without replacement
D) systematic sampling

Question 18

A researcher is surveying university development officers regarding their satisfaction with alumni giving. The researcher wants their sampling method to be such that every development officer has an equal probability of being selected. Which of the following is the most appropriate sampling method?

A) convenient sampling
B) simple random sampling with replacement
C) simple random sampling without replacement
D) systematic sampling

Question 19

A researcher is surveying speech-language pathologists (SLP) on their perceptions about communicative devices. The researcher wants their sampling method to be such that every SLP has an equal probability of being selected. Which of the following is the most appropriate sampling method?

A) convenient sampling
B) simple random sampling with replacement
C) simple random sampling without replacement
D) systematic sampling

Question 20

A researcher is surveying guidance counselors on their perceptions about anti-bullying programs. The researcher wants their sampling method to be such that every counselor has an equal probability of being selected. Which of the following is the most appropriate sampling method?

A) convenient sampling
B) simple random sampling with replacement
C) simple random sampling without replacement
D) systematic sampling

Question 21

A researcher is surveying parents on their perceptions of the school at which their child attends. The researcher wants their sampling method to be such that every parent has an equal probability of being selected. Which of the following is the most appropriate sampling method?

A) convenient sampling
B) simple random sampling with replacement
C) simple random sampling without replacement
D) systematic sampling

Question 22

If a population distribution is highly negatively skewed, then the distribution of the sample means for samples of size 1000 will be which one of the following?

A) highly negatively skewed
B) highly positively skewed
C) approximately normally distributed
D) cannot be determined without further information

Question 23

If a population distribution is approximately normal, then the distribution of the sample means for samples of size 100 will be which one of the following?

A) highly negatively skewed
B) highly positively skewed
C) approximately normally distributed
D) cannot be determined without further information

Question 24

Which of the following confidence intervals provides the lowest level of confidence?

A) 90% CI
B) 95% CI
C) 99% CI
D) It depends on which statistical procedure is used

Question 25

Which of the following confidence intervals provides the greatest level of confidence?

A) 90% CI
B) 95% CI
C) 99% CI
D) It depends on which statistical procedure is used

Question 26

If the standard error of the mean is 70 for n = 50, what must the sample size be to reduce the standard error to 50?

Question 27

If the standard error of the mean is 10 for n = 100, what must the sample size be to reduce the standard error to 5?

Question 28

If the standard error of the mean is 25 for n = 50, what must the sample size be to reduce the standard error to 20?

Question 29

A random sample of size 30 had a mean of 80 and a standard deviation of 6. First calculate the standard error of the mean. Then calculate the 90% CI for the mean.

Question 30

A random sample of size 50 had a mean of 5 and a standard deviation of 1. First calculate the standard error of the mean. Then calculate the 90% CI for the mean.