STATS 50 MCQs Assignment

1. A(n) ________ is a representation of reality or a real-life situation. (Points : 2)
objective
model
analysis
algorithm


Question 2. 2. The degree of flatness or peakedness of a population is measured by the ________. (Points : 2)
coefficient of kurtosis
coefficient of skewness
coefficient of variation
coefficient of deviation


Question 3. 3. Salary would be an example of ________ data. (Points : 2)
nominal
ordinal
interval
ratio

Question 4. 4. Outcomes such as communication effectiveness, environmental and regulatory compliance, and organizational citizenship would be considered ________ outcomes. (Points : 2)
customer-focused
workforce-focused
financial and market
leadership and governance


Question 5. 5. Which of the following is true of outliers in a data set? (Points : 2)
All outliers should be eliminated in order to portray accurate information.
Outliers that are within 1 standard deviation of the mean must be eliminated.
The mean and range are sensitive to outliers in the data.
Outliers do not make any difference in the results obtained from statistical analyses.

Question 6. 6. Which of the following coefficients of skewness values has the lowest degree of skewness? (Points : 2)
1
1.1
0.5
0.05

Question 7. 7. Which of the following functions is used to find the smallest value in a range of cells using Microsoft Excel? (Points : 2)
MAX(range)
MIN(range)
SUM(range)
AVERAGE(range)

Question 8. 8. The midrange for a data set containing all the values between 50 and 67 is ________. (Points : 2)
67
58.5
50
-17


Question 9. 9. Data for a particular subdivision near downtown Houston indicate that the average price per square foot for a home is $100 with a standard deviation of $5 (normally distributed). What is the probability that the average price per square foot for a home is less than $85? (Points : 2)
0.001
0.999
0.618
0.382





Question 10. 10. If P(A) = 0.3, P(B) = 0.2, P(A and B) = 0.0 , what can be said about events A and B? (Points : 2)
They are independent.
They are mutually exclusive.
They are posterior probabilities.
None of the above





Question 11. 11. At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course. Of these 200, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students enrolled in accounting but not enrolled in statistics. If a business student is selected at random, what is the probability that the student is enrolled in neither accounting nor statistics? (Points : 2)
0.45
0.50
0.55
0.05





Question 12. 12. Colonel Motors (an automobile company) has prepared a marketing campaign for its best-selling car. The focus of the campaign is quality, and it is claimed that 97 % of the purchasers of this car have no complaints in the first year. You and your sister Kim have each purchased one of these cars. What is the probability that exactly one of you has a complaint about the car in the first year if the advertising claim is true? (Points : 2)
0.0301
0.0582
0.9730
1.0000





Question 13. 13. A ________ is a numerical statement about the likelihood that an event will occur. (Points : 2)
mutually exclusive construct
collectively exhaustive construct
variance
probability





Question 14. 14. A company’s Board of Trustees had 18 members. Three members serve as the Board’s Executive Committee of Chair, Vice-Chair, and Secretary. Each member of the Board of Trustees is equally likely to serve any of the positions on the Executive Committee. How many ways can the three positions be filled? (Points : 2)
54
540
2,816
4,896





Question 15. 15. At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course. Of these 200 students, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students enrolled in accounting but not enrolled in statistics. If a business student is selected at random, what is the probability that the student is enrolled in accounting? (Points : 2)
0.20
0.25
0.30
0.50





Question 16. 16. The time required to complete a project is normally distributed with a mean of 80 weeks and a standard deviation of 10 weeks. The construction company must pay a penalty if the project is not finished by the due date in the contract. If a construction company bidding on this contract wishes to be 90 % sure of finishing by the due date, what due date (project week #) should be negotiated? (Points : 2)
81.28
92.8
81.82
.81954





Question 17. 17. Peak Previously Played Picks buys and sells used sports equipment. For the past year, the mean purchase of used sports equipment was $36 with a standard deviation of $8. Using the Microsoft Excel function NORM.DIST, find the probability that the next person who comes in to sell used equipment will be paid between $20 and $40. (Points : 2)
66.87%
71.42%
33.13%
28.58%





Question 18. 18. The finite population correction factor (FPC) is found by ________. (Points : 2)









Question 19. 19. A point estimate ________. (Points : 2)
has a known measurement error
can be found by dividing the population parameter by the sample size
accurately estimates the population parameter
is a sample-based estimate of a population parameter





Question 20. 20. In designing a sampling plan, the population frame is ________. (Points : 2)
the objectives of the sampling activity
the target population
the list from which the sample is selected
the sampling procedures





Question 21. 21. If the difference between the means of paired samples is found to be zero, this would mean that ________. (Points : 2)
the means need to be adjusted with the population correction factor
the margin of error is high
there is no bias involved in the sample
the confidence interval needs to be changed





Question 22. 22. Peak Previously Played Picks buys and sells used sports equipment. For the past year, the mean purchase of used sports equipment was $36 with a standard deviation of $8. Using the Microsoft Excel function NORM.DIST, find the probability that the next person who comes in to sell used equipment will be paid less than $20. (Points : 2)
2.28%
69.15%
100.00%
97.73%





Question 23. 23. An estimator is said to be unbiased if ________. (Points : 2)
its expected value equals the population parameter
it is greater than one
it is estimated from a relatively small sample
it is equal to or lesser than zero





Question 24. 24. Cluster sampling ________. (Points : 2)
is used with populations that are naturally divided into subsets
requires difficult sorting of the population data into specific samples
consists of a census of selected population subgroups
ensures each individual item has an equal chance of selection





Question 25. 25. The probability of making a Type I error is generally denoted by ________. (Points : 2)
a
ß
?
µ





Question 26. 26. Use the information below to answer the question.

The following table provides data on a sample of customers who visited a local restaurant. The restaurant owner believes that the average profit per customer exceeds $25.

Which of the following is the critical value using a level of significance of 0.05? (Points : 2)
1.717
-1.717
1.7139
-2.0739





Question 27. 27. In general, whenever p-value is less than a, ________. (Points : 2)
we reject the null hypothesis
we choose a different level of significance
we fail to reject the null hypothesis
the hypothesis test is inconclusive





Question 28. 28. Hypothesis testing is a technique that allows you to draw statistically valid conclusions about ________. (Points : 2)
random errors
sample statistics
population parameters
individuals





Question 29. 29. An online retailer wanted to see if purchasing patterns were different between male consumers and female consumers. Males were found to have spent a mean of $85 per month on online purchases, whereas females were found to have spent a mean of $78 per month. An independent samples t-test was conducted to assess the observed difference between the two groups of consumers. A two-tailed test was applied. The value of the t-Test Statistic for the observed differences was -4.7, where the p-value is less than 0.0002. What conclusion can be made about the observed difference? (Points : 2)
There is a statistically significant difference between the two groups of consumers.
There is statistically no significant difference between the two groups of consumers.
The independent samples t-test is not the appropriate hypothesis-testing procedure.
There is not sufficient information to conclude.





Question 30. 30. Increasing the sample size is one way to ________. (Points : 2)
reduce ß
reduce the power of the test
increase the standard error of the mean
determine the exact ß value





Question 31. 31. Two-tailed tests ________. (Points : 2)
have only lower critical values
have only upper critical values
have both upper and lower critical values
do not have any critical values





Question 32. 32. A Type I error occurs when ________. (Points : 2)
the null hypothesis is actually false, but the hypothesis test incorrectly fails to reject it
the null hypothesis is actually true, and the hypothesis test correctly fails to reject it
the null hypothesis is actually false, and the hypothesis test correctly reaches this conclusion
the null hypothesis is actually true, but the hypothesis test incorrectly rejects it





Question 33. 33. In the construction of decision trees, which of the following shapes represents a state of nature node? (Points : 2)
square
circle
diamond
triangle





Question 34. 34. In the construction of decision trees, which of the following shapes represents a decision node? (Points : 2)
square
circle
diamond
triangle





Question 35. 35. A market research study is being conducted to determine if a product modification will be well received by the public. A total of 1,000 consumers are questioned regarding this product.
The table below provides information regarding this sample.

What is the probability that a randomly selected person would be a female who had a positive reaction? (Points : 2)
0.250
0.260
0.455
0.840





Question 36. 36. The probability that a typical tomato seed will germinate is 60%. A seed company has developed a hybrid tomato that they claim has an 85% probability of germination. If a gardener plants the new hybrid tomato in batches of 12, what is the probability that 10 or more seeds will germinate in a batch? (Points : 2)
0.064
0.083
0.264
0.736





Question 37. 37. Historical data indicates that only 20% of cable customers are willing to switch companies. If a binomial process is assumed, then in a sample of 20 cable customers, what is the probability that no more than 3 customers would be willing to switch their cable? (Points : 2)
0.85
0.15
0.20
0.411





Question 38. 38. Lock combinations are made using 3 digits followed by 2 letters. How many different lock combinations can be made if repetition of digits is allowed? (Points : 2)
6
260
6,760
676,000





Question 39. 39. In 2012 the stock market took some big swings up and down. One thousand investors were asked how often they tracked their investments. The table below shows their responses. What is the probability that an investor tracks the portfolio weekly?

(Points : 2)
0.235
0.278
0.513
0.722





Question 40. 40. In hypothesis testing, the null and the alternative hypotheses are ________. (Points : 2)
not mutually exclusive
mutually exclusive
always false
always true





Question 41. 41. If we fail to reject the null hypothesis, ________. (Points : 2)
we have found evidence to support the alternative hypothesis
the null hypothesis is proved to be true
we have only failed to find evidence to support the alternative hypothesis
the hypothesis test is inconclusive





Question 42. 42. The probability of a Type I error can be specified by the investigator. The probability of a Type II error is ________. (Points : 2)
one minus the probability of Type I error
the result of the hypothesis test itself
also specified by the investigator
not specified by the investigator but computed using the power of the test





Question 43. 43. A major consumer products company wants to measure the type and quantity of laundry detergent used by consumers. After choosing a suburban street at random, employees go door-to-door to every fifth house to ask for permission to view their laundry detergent supply. What sampling method is being used for this sampling plan? (Points : 2)
simple random sampling
systematic sampling
continuous sampling
subjective sampling





Question 44. 44. A major consumer products company wants to measure the quality of the packaging of their products on the store shelves. Five large cities are chosen in different parts of the country. What sampling method is being used for this sampling plan? (Points : 2)
simple random sampling
continuous sampling
subjective sampling
stratified sampling





Question 45. 45. All of the following are true about the sampling distribution of the mean except ________. (Points : 2)
the population standard deviation can be determined when a large sample size is used
the standard deviation of this distribution is called the standard error of the mean
when larger sample sizes are used for this distribution, the sampling error is less
this distribution approaches the normal distribution if the sample size is large enough





Question 46. 46. Find the standard error of the mean when the population standard deviation is 4.1 and a sample of size 30 is taken. (Points : 2)
7.32
0.08
1.34
0.75





Question 47. 47. Expected monetary value (EMV) is (Points : 2)
the average or expected monetary outcome of a decision if it can be repeated a large number of times.
the average or expected value of the decision, if you know what would happen ahead of time.
the average or expected value of information if it were completely accurate.
the amount you would lose by not picking the best alternative.





Question 48. 48. Which of the following is true about the expected value of perfect information? (Points : 2)
It is the amount you would pay for any sample study.
It is calculated as EMV minus EOL.
It is calculated as expected value with perfect information minus maximum EMV.
It is the amount charged for marketing research.





Question 49. 49. The expected value of sample information (EVSI) can be used to (Points : 2)
establish a maximum amount to spend on additional information.
calculate conditional probabilities.
establish risk avoidance.
provide points on a utility curve.





Question 50. 50. When conducting a test of hypothesis, if we elect to use alpha (a) of .05 and the results of our analysis indicate that the null hypothesis should be rejected, which of the following is true? (Points : 2)
the p-value is greater than .05
the p-value is less than .05
the p-value is greater than +1.96
the p-value is less than -1.96