500 câu trắc nghiệm Kinh tế lượng – 2B

Find the range for the given data.
11) The owner of a small manufacturing plant 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:
2.6 5.5 1.6 4.1 6.8 3.6
Compute the range.
○ 5.5
○ 1.6
● 5.2
○ 1

Find the variance for the given data. Round your answer to one more decimal place than the original data.
12) Compute the variance. Jeanne is currently taking college zoology. The instructor often gives quizzes. On the past five quizzes, Jeanne got the following scores: 17 10 7 14 3
○ 52.4
○ 24.6
○ 30.6
● 30.7

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
13) The normal monthly precipitation (in inches) for August is listed for 12 different U.S. cities.
3.5 1.6 2.4 3.7 4.1 3.9
1.0 3.6 4.2 3.4 3.7 2.2
Compute the standard deviation.
○ 1.00
○ 1.09
● 1.05
○ 12.03

Solve the problem.
14) The race speeds for twenty cars in a 200-mile race are listed below. Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth.
185.6 187.1 189.2 186.3 175.6 189.1 186.7 177.1 178.2 180.9 188.6 183.4 175.8 178.2 179.2 181.4 184.5 180.7 183.3 179.9
○ 7.5
○ 6.8
○ 1.1
● 3.4

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) A test of manual dexterity yields values having a mean of 50 and a standard deviation of 10. Is a score of 80 unusually high?

Yes, because 80 is greater than 70, which is two standard deviations above the mean.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem. Round results to the nearest hundredth.
16) The mean height of a basketball team is 6.1 feet with a standard deviation of 0.2 feet. The team’s center is 6.7 feet tall. Find the center’s z score. Is his score unusual?
○ 2.5, no
○ 2.55, no
○ 3.3, yes
● 3, yes

Determine which score corresponds to the higher relative position.
17) Which score has a better relative position, a score of 42.6 on a test for which \(\bar x\) = 29 and s = 8, or a score of 292.4 on a test for which \(\bar x\) = 238 and s = 32?
○ A score of 292.4
● Both scores have the same relative position.
○ A score of 42.6

Find the percentile for the data point.
18) In a data set with a range of 55.1 to 102.8 and 300 observations, there are 207 data points with values less than 88.6. Find the percentile for 88.6.
○ 32
○ 116.03
● 69
○ 670

Find the indicated measure.
19) The test scores of 40 students are listed below. Find P85.
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
○ 34
○ 85
● 87
○ 89

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Identify as many similarities and differences that you can find.
20) Describe any similarities or differences in the two distributions represented by the following boxplots. Assume the two boxplots have the same scale.

Let the boxplot on the left represent distribution A; boxplot on the right, distribution B. Both distributions are skewed to the right, and their ranges are the same. The interquartile range of distribution B shows more variability, implying its middle 50% of values are more spread than the middle 50% of values in distribution A. Therefore, there is more variation among the values in distribution B than in distribution A. The median of distribution A exceeds that of distribution B. Neither distribution has outliers.