Math 227 - Statistics » Spring 2023 » Midterm 1 Exam

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Question #1
A polling company reported that 56% of 2,342 surveyed adults said that they play football. What is the actual number of people who play football?
A.   1,312
Question #2
Determine whether the given value is a statistic or a parameter. A homeowner measured the voltage supplied to his home on all 30 days of a given month, and the average (mean) value is 111.4 volts. Choose the correct answer below.
A.   The given value is a statistic for the month because the data collected represent a sample.
B.   The given value is a parameter for the month because the data collected represent a population.
C.   The given value is a parameter for the month because the data collected represent a sample.
D.   The given value is a statistic for the month because the data collected represent a population.
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
The sample of spheres categorized from softest to hardest. Which level of measurement is most appropriate for this data?
A.   interval
B.   ordinal
C.   ratio
D.   nominal
Question #5
A sample consists of every 49th student from a group of 496 students. Identify the type of sampling used.
A.   stratified
B.   cluster
C.   convenience
D.   systematic
E.   random
Question #6
An ad for seat belts claimed that proper usage of seat belts "reduces the chance of fatality in a car crash by 400 percent." What is wrong with this statement?
A.   The actual amount of the decrease in fatalities is less than 100%.
B.   The statement does not mention the initial amount of fatalities.
C.   If fatalities fell by 100%, it would be cut in half. Thus, a decrease of 200% means that it would be totally eliminated, and a decrease of more than 200% is impossible.
D.   If seat belts eliminated all fatalities, it would result in a 100% reduction, so it is not possible to reduce fatalities by more than 100 %.
Question #7
The data represents the body mass index (BMI) values for 20 females. Construct a frequency distribution beginning with a lower class limit of 15.0 and use a class width of 6.0. What frequency is listed for the third class? 20.8, 26.7, 29.1, 37.3, 42.1, 49.5, 52.1, 36.7, 28.8, 40.3, 51, 16.1, 44.8, 33, 15.9, 32.7, 45.3, 43.4, 27.8, 25.7
A.   4
B.   3
C.   5
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 fourth class? Miles / Frequency 10-14 / 6 15-19 / 16 20-24 / 6 25-29 / 4 30-34 / 9
A.   26.7
B.   31.5
C.   29.5
D.   28.3
Question #9
Listed below are the amounts of time (in months) that the employees of a restaurant have been working at the restaurant. Find the mean. Round your answer to one more decimal place than is present in the original data values. 66, 42, 50, 70, 139, 54, 81, 25, 70, 21, 40, 107
A.   63.8
B.   66.4
C.   62.2
D.   68.4
Question #10
The normal monthly precipitation (in inches) for August is listed for different U.S. cities. Find the median monthly precipitation. Round your answer to one more decimal place than is present in the original data values. 0.5, 1.4, 5.6, 5.6, 1.7, 1.4, 2.5, 6, 5.8, 2.5
A.   1.4
B.   1.7
C.   2.7
D.   2.5
Question #11
The weights (in ounces) of 14 different apples are shown below. 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.) 9, 19, 9, 8, 7, 9, 8, 11, 8, 5, 9, 8, 8, 9
A.   8
B.   11
C.   7
D.   9
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. 69, 56, 62, 66, 62, 55, 68,55, 59
A.   5.6
B.   5.5
C.   6.2
D.   6.6
Question #13
The scores on a recent statistics test are given in the frequency distribution below. Find the standard deviation of the frequency distribution. Round your answer to one more decimal place than is present in the original data values. Scores / Frequency 51-60 / 21 61-70 / 12 71-80 / 19 81-90 / 8 91-100 / 22
A.   15.8
B.   14.8
C.   15.4
D.   16.6
Question #14
The mean height of a basketball team is 6.5 feet with a standard deviation of 2 feet. The team's center is 6.8 feet tall. Find the center's z score.
A.   0.17
B.   0.19
C.   0.15
D.   0.13
Question #15
A test score of 67 on a test having a mean of 78 and a standard deviation of 5. 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.   -2.2
B.   -1.8
C.   -2.6
D.   -2.8
Question #16
Use the given sample data to find Q3. 45, 45, 69, 46, 48, 65, 44, 56
A.   60.9
B.   60.3
C.   60.8
D.   60.5
Question #17
Find the percentile for the data value. Data set: 67, 17, 11, 26, 43, 52, 93, 60, 10, 53, 84, 85, 11, 99, 70, 72; data value: 93
A.   88
B.   87
C.   86
D.   89
Question #18
Which is better, a score of 99 on a test with a mean of 75 and a standard deviation of 9, or a score of 260 on a test with a mean of 246 and a standard deviation of 25? Enter the better test score.
A.   103
B.   111
C.   87
D.   99
Question #19
The test scores of 16 students are listed below. Construct a boxplot for the data set. Enter the maximum value. 3, 39, 9, 42, 66, 3, 107, 1, 46, 95, 28, 38, 43, 90, 83, 74
A.   107
B.   90
C.   95
D.   83

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