Math 136 - Introduction to Statistics » Fall 2021 » Homework 2A Data Analysis

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Question #1
Determine whether the given value is a statistic or a parameter. A sample of 120 employees of a company is selected, and the average age is found to be 37 years.
A.   Parameter
B.   Statistic
Question #2
After taking the first exam, 15 of the students dropped the class.
A.   Statistic
B.   Parameter
Question #3
Identify the number as either continuous or discrete. The number of freshmen entering college in a certain year is 621.
A.   Continuous
B.   Discrete
Question #4
The number of limbs on a 2-year-old oak tree is 21.
A.   Discrete
B.   Continuous
Question #5
The number of stories in a Manhattan building is 22.
A.   Continuous
B.   Discrete
Question #6
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. The temperatures of eight different plastic spheres.
A.   Ordinal
B.   Nominal
C.   Interval
D.   Ratio
Question #7
The sample of spheres categorized from softest to hardest.
A.   Ordinal
B.   Nominal
C.   Interval
D.   Ratio
Question #8
Temperatures of the ocean at various depths.
A.   Ratio
B.   Interval
C.   Nominal
D.   Ordinal
Question #9
Find the mean for the given sample data. Six college buddies bought each other Christmas gifts. They spent: $122.34 $233.13 $222.32 $130.44 $165.25 $197.41 What was the mean amount spent? Round your answer to the nearest cent.
A.   $214.18
B.   $267.72
C.   $202.18
D.   $178.48
Question #10
Frank's Furniture employees earned the following amounts last week: $453.83 $529.91 $439.27 $309.23 $453.86 $533.25 $457.25 $156.42 $152.64 What was the mean amount earned by an employee last week? Round your answer to the nearest cent.
A.   $380.63
B.   $497.95
C.   $387.3
D.   $435.71
Question #11
Bill kept track of the number of hours he spent exercising each week. The results for four months are shown below. Find the mean number of hours Bill spent exercising per week. Round your answer to two decimal places. 6.90 6.60 6.70 6.90 7.20 6.90 7.40 6.70 8.10 6.90 6.90 6.70 8.80 6.60 6.60 7.70 7.20 7.40
A.   7.12
B.   6.75
C.   7.54
D.   7.33
Question #12
The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the mean of the data. 3.5 1.6 2.4 3.7 4.1 3.9 1.0 3.6 4.2 3.4 3.7 2.2 1.5 4.2 3.4 2.7 0.4 3.7 2.0 3.6
A.   3.09 in.
B.   2.80 in.
C.   3.27 in.
D.   2.94 in.
Question #13
Find the median for the given sample data. The distances traveled (in miles) to 7 different swim meets are given below: 15, 30, 30, 44, 60, 70, 79 Find the median distance traveled.
A.   60 miles
B.   44 miles
C.   47 miles
D.   30 miles
Question #14
The weights (in ounces) of 21 cookies are shown. Find the median weight. 0.67 1.42 0.83 1.62 0.75 0.82 1.03 1.42 1.53 0.93 0.67 1.21 1.04 0.83 0.47 1.21 0.82 1.04 1.72 0.75 0.56
A.   1.42 ounces
B.   0.93 ounces
C.   0.88 ounces
D.   0.83 ounces
Question #15
Find the mode(s) for the given sample data. -20, -27, -46, -27, -49, -27, -49
A.   -46
B.   -35
C.   -49
D.   -27
Question #16
Find the mode(s) for the given sample data. 20, 21, 46, 21, 49, 21, 49
A.   32.4
B.   21
C.   46
D.   49
Question #17
Find the mode(s) for the given sample data. 7.22, 7.41, 7.56, 7.22, 7.88, 7.99, 7.62
A.   7.557
B.   7.41
C.   7.56
D.   7.22
Question #18
Find the midrange for the given sample data. 3 6 9 0 4 1 11 5 9 14 3 8 2 15 0 9
A.   5.5
B.   8
C.   7.5
D.   15
Question #19
Bill kept track of the number of hours he spent exercising each week. The results for 15 weeks are shown below. Find the midrange. 7.2 7.0 7.2 7.4 7.5 7.5 6.5 8.0 8.1 7.4 8.7 7.0 7.5 8.9 7.5
A.   7.60
B.   7.5
C.   2.4
D.   7.70
Question #20
Find the mean of the data summarized in the given frequency distribution. A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the mean salary. Salary Employees 5,001-10,000 16 10,001-15,000 14 15,001-20,000 15 20,001-25,000 17 25,001-30,000 18
A.   $19,731.25
B.   $17,500
C.   $17,937.50
D.   $16,143.75
Question #21
The test scores of 40 students are summarized in the frequency distribution below. Find the mean score. Score Students 50-59 7 60-69 5 70-79 10 80-89 6 90-99 12
A.   77.3
B.   69.6
C.   74.5
D.   73.4
Question #22
Solve the problem. Round results to the nearest hundredth. The mean of a set of data is 4.68 and its standard deviation is 2.83. Find the z score for a value of 9.38. Correct!
A.   1.66
B.   1.96
C.   1.49
D.   1.83
Question #23
Solve the problem. Round results to the nearest hundredth. The mean of a set of data is 337.65 and its standard deviation is 96.01. Find the z score for a value of 422.02.
A.   0.79
B.   0.88
C.   0.97
D.   1.18
Question #24
Determine which score corresponds to the higher relative position. Which is better: a score of 82 on a test with a mean of 70 and a standard deviation of 8, or a score of 82 on a test with a mean of 75 and a standard deviation of 4?
A.   Both scores have the same relative position
B.   The first 82
C.   The second 82
Question #25
Find the percentile for the data point. Data set: 55 46 30 63 63 65 42; data point 55
A.   20
B.   43
C.   57
D.   50
Question #26
In a data set with a range of 66.5 to 121.4 and 200 observations, there are 138 data points with values less than 87.7. Find the percentile for 87.7.
A.   69
B.   138.43
C.   32
D.   424
Question #27
Find the indicated measure. Use the given sample data to find Q3 . 49 52 52 52 74 67 55 55
A.   61
B.   6
C.   55
D.   67
Question #28
The weights (in pounds) of 30 newborn babies are listed below. Find P16 . 5.5 5.7 5.8 5.9 6.1 6.1 6.4 6.4 6.5 6.6 6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2 7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7
A.   6.1
B.   6
C.   4.8
D.   5.9
Question #29
Provide an appropriate response. Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by z = 2.1. What is her temperature? Round your answer to the nearest hundredth.
A.   101.58°F
B.   99.50°F
C.   100.30°F
D.   96.90°F
Question #30
Solve the problem. Round results to the nearest hundredth. Scores on a test have a mean of 71 and a standard deviation of 9. Michelle has a score of 89. Convert Michelle's score to a z-score.
A.   -2
B.   2
C.   18
D.   -18

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