500 câu trắc nghiệm Kinh tế lượng – 2C
Find the range for the given data.
11) To get the best deal on a microwave oven, Jeremy called six appliance stores and asked the cost of a specific model. The prices he was quoted are listed below:
$110 $541 $139 $650 $413 $265
Compute the range.
○ $110
○ $541
○ $126
● $540
Find the variance for the given data. Round your answer to one more decimal place than the original data.
12) 4, 13, 6, 4, and 20
○ 48.7
○ 39.0
● 48.8
○ 67.2
Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
13) The manager of a small dry cleaner employs six people. As part of their personnel file, she asked each one to record to the nearest one-tenth of a mile the distance they travel one way from home to work. The six distances are listed below: 17.6 22.9 29.8 29.7 12.2 15.8
Compute the standard deviation s.
○ 2730.7
● 7.38
○ 3002.8
○ 29.8
Solve the problem.
14) The following is a set of data showing the water temperature in a heated tub at different time intervals. Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth.
114.4 114.6 116.4 113.3 114.8 114.3 113.1 115.0 114.5 113.5 114.1 114.7 116.2
115.5 115.9 114.9 113.8 114.1 115.8 116.0
● 0.8
○ 1.1
○ -56.1
○ 0.6
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use the range rule of thumb to solve the problem.
15) Adolf’s Restaurant’s advertisement boasts that the average price of a full-course dinner is $25. It is known that the standard deviation of dinner prices is $10.15. Is a full-course dinner priced at $44.30 an unusual value? Why or why not?
This value is not unusual, since it is within the usual range of $4.70 to $45.30.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth if necessary.
16) A time for the 100 meter sprint of 21.2 seconds at a school where the mean time for the 100 meter sprint is 17.6 seconds and the standard deviation is 2.1 seconds.
○ 1.7; unusual
● 1.7; not unusual
○ 3.6; unusual
○ -1.7; not unusual
Determine which score corresponds to the higher relative position.
17) Which score has the better relative position: a score of 34.8 on a test for which \(\bar x\) = 30 and s = 6, a score of 5.5 on a test for which \(\bar x\) = 4.5 and s = 1.3 or a score of 366.4 on a test for which \(\bar x\) = 332 and s = 43?
○ A score of 366.4
○ A score of 34.8
● A score of 5.5
Find the percentile for the data point.
18) Data set: 16 8 56 40 16 40 64 72 88 24 8 64 48 8 64; data point 56
○ 70
○ 52
● 60
○ 35
Find the indicated measure.
19) The test scores of 40 students are listed below. Find P56.
30 35 43 44 47 48 54 55 56 57
59 62 63 65 66 68 69 69 71 72
72 73 74 76 77 77 78 79 80 81
81 82 83 85 89 92 93 94 97 98
● 74
○ 73.5
○ 73
○ 22.4
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response.
20) Boxplots are graphs that are useful for revealing central tendency, the spread of the data, the distribution of the data and the presence of outliers. Draw an example of a boxplot and comment on each of these characteristics as shown by your boxplot.
Answers will vary