Math 227 - Statistics » Spring 2023 » Midterm 1 Practice Test

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Question #1
A polling company reported that 81% of 2,212 surveyed adults said that they play football. What is the exact value that is 81% of 2,212? (Exact calculations may result in decimals. Please round to the nearest hundredth.)
A.   1,946.78
B.   1,791.72
C.   1,623.65
D.   2,014.13
Question #2
After taking the first exam, 15 of the students dropped the class. Determine whether the given value is a statistic or a parameter.
A.   The value is a parameter because it is a numerical measurement describing some characteristic of a population.
B.   The value is a statistic because it is a numerical measurement describing some characteristic of a population.
C.   The value is a statistic because it is a numerical measurement describing some characteristic of a sample.
D.   The value is a parameter because it is a numerical measurement describing some characteristic of a sample.
Question #3
The percentages of different countries' populations that are retired. Does the data come from a discrete or continuous data set?
A.   A discrete data set because the possible values can be counted.
B.   A continuous data set because there are infinitely many possible values and those values can be counted.
C.   The data set is neither continuous nor discrete.
D.   A continuous data set because there are infinitely many possible values and those values can be measured.
Question #4
Ages of children. Which level of measurement is most appropriate for this data?
A.   ordinal
B.   interval
C.   ratio
D.   nominal
Question #5
A researcher interviews 19 work colleagues who work in the cubicles surrounding his desk. Identify the type of sampling used.
A.   cluster
B.   random
C.   stratified
D.   convenience
E.   systematic
Question #6
A polling company reported that 47% of 2286 surveyed adults said that they play football. The exact value of 47% of 2286 is 1074.42. Could this result be the actual number of adults who said that they play football? Why or why not?
A.   No, the result could not be the actual number of adults who said that they play football because a count of people must result in a whole number.
B.   Yes, the result could be the actual number of adults who said that they play football because the polling numbers are accurate.
C.   No, the result could not be the actual number of adults who said that they play football because that is a very rare activity.
D.   Yes, the result could be the actual number of adults who said that they play football because the results are statistically significant.
Question #7
Quiz scores of statistics students were obtained by a teacher and listed below. Construct a frequency distribution beginning with a lower class limit of 0 and use a class width of 2. What frequency is listed for the second class? 0, 4, 5, 4, 3, 7, 8, 3, 4, 10
A.   5
B.   6
C.   1
D.   2
Question #8
The data shows the roundtrip mileage that randomly selected students drive to school each day. Construct a frequency polygon. What is the upper class boundary of the sixth class? Miles / Frequency 10-14 / 10 15-19 / 17 20-24 / 6 25-29 / 12 30-34 / 14
A.   29
B.   39.5
C.   37
D.   38.5
Question #9
The weights (in pounds) of six dogs are listed below. Find the mean weight. Round your answer to one more decimal place than is present in the original data values. 68, 118, 20, 100, 63, 114
A.   80.5
B.   90.5
C.   84.0
D.   75.5
Question #10
Six college buddies bought each other Christmas gifts. The amounts they spent are shown below. What was the median amount spent? Round your answer to the nearest cent. 98.91, 70.46, 145.39, 81.62, 25.44, 173.89
A.   86.94
B.   92.41
C.   90.27
D.   88.14
Question #11
Find the mode(s) for the given sample data. (If there are more than one, enter the largest value for credit. If there is no mode, enter 0 for credit.) 7.59, 8.5, 2.64, 5.84, 3.58, 12, 5.84, 6
A.   6
B.   2.64
C.   3.58
D.   5.84
Question #12
Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find the standard deviation of the retirement age. Round your answer to one more decimal place than is present in the original data values. 68, 52, 58, 61, 62, 67, 66,67, 61
A.   6.8
B.   5.2
C.   5.8
D.   6.1
Question #13
The frequency table below shows the number of days off in a given year for police detectives. Find the standard deviation of the frequency distribution. Round your answer to one more decimal place than is present in the original data values. Days Off / Frequency 0-2 / 5 3-5 / 6 6-8 / 3 9-11 / 10 12-14 / 9 15-17 / 0
A.   6.6
B.   4.0
C.   5.5
D.   4.4
Question #14
A department store, on average, has daily sales of $109.92. The standard deviation of sales is $10.88. On Tuesday, the store sold $158.67 worth of goods. Find Tuesday's z score.
A.   3.96
B.   5.12
C.   4.48
D.   4.26
Question #15
A test score of 53 on a test having a mean of 76 and a standard deviation of 12. Determine if the value is unusual. Explain. Enter the number that is being interpreted to arrive at your conclusion rounded to the nearest hundredth.
A.   0.42
B.   1.92
C.   -1.14
D.   -1.92
Question #16
The weights (in pounds) of 16 newborn babies are listed below. Find Q1. 6.2, 6.8, 5.1, 8.5, 8.1, 5.6, 6.7, 8, 8.6, 5.9, 5.2, 6.8, 7.2, 7.9, 8.5, 6.8
A.   6.05
B.   5.2
C.   5.9
D.   6.2
Question #17
Find the percentile for the data value. Data set: 22, 29, 54, 62, 54, 54, 31, 76, 97; data value: 54
A.   33
B.   54
C.   44
D.   39
Question #18
Which is better, a score of 72 on a test with a mean of 71 and a standard deviation of 9, or a score of 265 on a test with a mean of 249 and a standard deviation of 25? Enter the better test score.
A.   249
B.   297
C.   265
D.   254
Question #19
The test scores of 16 students are listed below. Construct a boxplot for the data set. Enter the maximum value. 55, 40, 27, 78, 27, 42, 104, 36, 62, 39, 71, 80, 50, 11, 69, 59
A.   120
B.   80
C.   104
D.   110

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