MATH221 Week 3 Quiz (July 2019)
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MATH 221 Statistics for Decision Making
Week 3 Quiz
Question 1 (CO 1) Among 500 people at the concert, a survey of 35 found 28% found it too loud. What is the population and what is the sample?
Population: 500 at that concert; Sample: the 35 in the survey
Population: all concert goers; Sample: the 28% who found it too loud
Population: 500 at that concert: Sample: the 28% who found it too loud
Population: all concert goers; Sample: the 500 at that concert
Question 2(CO 1) A survey of 481 of your customers shows that 79% of them like the recent changes to the product. Is this percentage a parameter or a statistic and why?
Parameter as it represents the sample
Statistic as it represents the population
Parameter as it represents the population
Statistic as it represents the sample
Question 3(CO 1) Classify the data of the top grossing movies for 2017.
Statistics
Qualitative
Quantitative
Classical
Question 4(CO 1) The data set that lists the number of performances for each Broadway show in 2017 would be classified as what type of data?
Ratio
Nominal
Interval
Ordinal
Question 5(CO 1) A data set that includes the number of products that were produced within each hour by a company would be classified as what type of data?
Ordinal
Ratio
Nominal
Interval
Question 6(CO 1) What type of data collection might be best to estimate the impact of exercise on longevity?
Simulation
Experiment
Survey
Observational
Question 7(CO 1) What type of data collection might be best to study how voters might decide an upcoming ballot issue?
Simulation
Survey
Observational
Experiment
Question 8CO 1) You need to study the satisfaction of customers of a specific restaurant. You decide to randomly select one customer at each table. This would most closely describe which type of sampling technique?
Stratified
Random
Cluster
Systematic
Question 9(CO 1) Which of the following graphs would be a Pareto chart?
Vertical bars with spaces between with highest to left and shortest to right
Horizontal bars with various lengths
Vertical base with spaces between of various heights
Vertical bars with various lengths
Question 10(CO 1) In a normally distributed data set of how long customers stay in your store, the mean is 31.7 minutes and the standard deviation is 1.9minutes . Within what range would you expect 95% of your customers to stay in your store?
27.9-35.5
30.75-32.7
29.8-33.6
26.0-37.4
Question 11(CO 1) Which of the following graphs would be considered a uniform distribution?
Vertical bars that are all the same height
Vertical bars that are short on the left, increase to the tallest in the middle and then become shorter to the right
Vertical bars with tallest on left down to shortest on right
Vertical bars with shortest on left up to tallest on right
Question 12(CO 1) In a normally distributed data set with a mean of 22 and a standard deviation of 4.1, what percentage of the data would be between 13.8 and 30.2?
68% based on the histogram
95% based on the Empirical Rule
68% based on the Empirical Rule
95% based on the histogram
Question 13(CO 1) Which of the following would be the standard deviation for this sample data set: 5, 7, 3, 9, 2, 4, 4, 6, 5, 9, 3?
5.18
2.59
2.36
2.25
Question 14(CO 1) What would be the mean of this data set: 8, 9, 7, 508, 7, 1, 5, 3, 4?
61.3
5.7
57.0
55.2
Question 15
(CO 1) A pharmaceutical company wants to determine if its new medicine helps heal bruises more quickly than not treating the bruise. What type of study would be best suited to make this determination?
Survey
Experimental
Simulation
Observational
Question 16(CO 1) To gather information on customer satisfaction, a researcher goes into the local store and interviews six randomly selected customers. This sampling technique is called:
Convenience
Random
Cluster
Stratified
Question 17(CO 1) What is the standard deviation and its meaning in the sample of customer ages? 45, 76, 30, 22, 51, 40, 63, 66, 27
17.8 which means that many of the ages will be around this value
18.8 which means that many of the ages will be around the square of this value
18.8 which means that many of the ages will be within this value of the average age
17.8 which means that many of the ages will be within half of this value of the average age
Question 18(CO 2) A random selection from a deck of cards selects one card. What is the probability of selecting an ace?
0.50
0.025
0.077
0.250
Question 19(CO 2) What is the sample space of flipping three coins, where H=heads, and T=tails?
(H,H,T)(H,T,T)(T,H,H)(T,T,H)(T,T,T)(T,H,T)(H,T,H)
(H,H,H)(H,H,T)(H,T,T)(T,H,H)(T,T,H)(T,T,T)(T,H,T)(H,T,H)
(H,H,H)(T,T,T)
(H,H,H)(H,H,H)(H,H,H)(H,H,H)(T,T,T)(T,T,T)(T,T,T)(T,T,T)
Question 20(CO 2) Consider the table below
Response (number of cats owned) Frequency
None 659
One 329
Two 52
Three 13
Four or more 8
What is the probability that the next person asked has only two cats?
31%
50%
62%
5%
Question 21 Consider the table below
Age Group Frequency
18-29 9831
30-39 7845
40-49 6869
50-59 6323
60-69 5410
70 and over 5279
What is the probability that the next person chosen will be in the 50-59 or 60-69 age groups?
28.2%
23.7%
42.5%
31.7%
Question 22(CO 2) According to company records, the probability that a dishwasher will need repairs during its first six years is 0.09. This is an example of which type of probability?
Subjective probability
Public probability
Empirical probability
Classical probability
Question 23(CO 2) Consider the table below.
Age Group Frequency
18-29 9831
30-39 7845
40-49 6869
50-59 6323
60-69 5410
70 and over 5279
What is P(30-49’)?
35.4%
76.3%
64.6%
18.9%
Question 24(CO 2) You are selling your product at a three-day event. Each day, there is a 60% chance that you will make money. What is the probability that you will make money all three days?
0.288
0.144
0.096
0.216
Question 25(CO 2) Consider the table below.
Profit Loss Total
Urban location 50 38 88
Rural location 61 84 125
Total 111 132 243
Find the probability that a randomly selected location is going to be profitable, given that it is in a rural location.
48.8%
55.0%
51.4%
45.7%
Question 26(CO 2) Consider the table below.
Production location Correct Defective Total
East 258 31 289
West 572 106 678
North 755 94 849
South 491 74 565
Total 2076 305 2381
Find the probability that a randomly selected product is from the North, given that it is correct.
88.9%
36.4%
12.1%
87.2 %
Question 27(CO 2) Classify these events. Selecting a king from a deck of cards, keeping it and selecting a queen from the same deck. These events would be considered:
Independent
Subjective
Dependent
Empirical
Question 28 (CO 2) Classify these events. Some customers purchase lots of items and some customers use shopping carts. These events would be considered:
Dependent
Classical
Subjective
Independent
Question 29 (CO 2) In a survey of 320 customers, 58 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?
3.24%
3.19%
3.20%
3.29%
Question 30(CO 2) Randomly select a customer that purchases tofu. Randomly select a customer that purchases chicken. Are these events mutually exclusive?
Non-mutually exclusive events
Mutually exclusive events
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