Match the variable to its scale of measurement.
Match the variable to its scale of measurement.
Temperature on the Celsius scale
Body Weight
Brand name
Size as small medium large
1. Nominal
2. Ordinal
3. Interval
4. Ratio
Question 2 The data are the areas of lawns in square feet. You sample five houses. The areas of the lawns are 144.5 sq. feet, 160.2 sq. feet, 190.0 sq. feet, 180.2 sq. feet, and 210.9 sq. feet. What type of data is this?
A) Quantitative discrete binomial data
B) Quantitative continuous data
C) Qualitative data
D) Quantitative discrete data
Question 3Central tendency is most commonly referred to as the numerical center of the data set. Which of these are common measures of central tendency?
A) variance, standard deviation
B) mode, mean, median
C) median, mode, standard deviation
D) mean, median, CV
E) standard deviation, variance, IQR
Question 4What is the function in Excel used to find the mean?
A) =MEDIAN()
B) = MEAN()
C) = AVERAGE()
Question 5Which Excel function is used to compute the variance of a sample of bag weights (lbs)?
VAR.S
STDEVA
STDEV.S
STDEV.P
VAR.P
Question 6How is the coefficient of variation (CV) computed?
A) Divide variance by mean, and format to percent
B) Divide the mean by the variance
C) Divide the mean by the standard deviation, and format to percent
D) Divide the standard deviation by the mean, and format to percent
Question 7Choose the all answers that apply to Excel array functions.
A) = FREQUENCY() is entered as an array formula
B) Have curly braces {}
C) = COUNT() is entered as an array formula
D) Have parentheses ()
E) Use other computer keys besides Enter to create the function
Question 8Compute the frequency distribution for Oil Change Wait Times (← click on link). Compute
Min and max
Bin size for 10 bins
First bin = min + bin size
9 remaining bin values
Use function =FREQUENCY()
The frequency distribution is
A) Wait times Frequency
16.0 8
22.0 8
28.0 19
34.0 34
40.0 44
46.0 41
52.0 27
58.0 13
64.0 3
70.0 3
Total 200
B) None of the above
C) Wait times Frequency
10.0 1
16.0 7
22.0 8
28.0 20
34.0 34
40.0 45
46.0 41
52.0 27
58.0 13
64.0 4
D) Wait times Frequency
15.0 7
21.0 8
27.0 18
33.0 30
39.0 45
45.0 39
51.0 31
57.0 16
63.0 4
69.0 2
Total 200
Question 9 Suppose a sample space has things a, b, and c. Twice, draw from the sample space and replace. The possible sequences formed are {aa, ab, ac, ba, bb, bc, ca, cb, cc}.
Now suppose there are Y different things. There are Y ways the first draw can occur. For each of the Y ways the first draw can occur, there are Y ways the second draw can occur, resulting in Y times Y, or Y2 sequences. For each of the Y2 sequences formed from 2 draws, there are Y ways the 3rd draw can occur forming Y3 sequences. Generalizing, there are YX sequences formed by drawing X times from Y different things with replacement.
Example: The number of state license plates that can be made with 3 letters followed by 3 numbers is 26 x 26 x 26 x 10 x 10 x 10 = 263 x 103 = 17,576,000. From this one style of plate, there are many sequences.
How many sequences of 3 things can be formed from 8 different things with replacement and order is important?
Question 10 If you toss a die twice, what is the sample space if you want to restrict the results to only the outcomes where adding the results of the two throws together equals seven? For example, if you get 1 on the first toss and 6 on the second toss, these two tosses meet the criteria.
A) S = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}
B) S = {7}
C) S = (1,6), (2,5), (3,4)
D) S = {2,5), (5,2), (1,6), (6,1)}
E) S = {(1,6), (2,5), (3,4)}
Question 11 If you toss a die twice, what is the probability that the total is none of {4, 6, 9}?
None of the other answers are correct
3/26
24/36
29/36
Question 12 The probability that you will throw boxcars (two 6’s) with one throw using 2 dice is
A) None of the other answers are correct
B) 0.028
C) 0.330
D) 0.170
Question 13 If P(A and B) = 0, A and B are mutually exclusive. Otherwise, A and B occur jointly
P(A) = 0.230
P(B) = 0.210
P(A and B) = 0.200
P(C) = 0.200
Compute the probability of event A or B and enter your answer with 3 decimal places.
Question 14 Let’s assume we know that 1% of adults over the age of 60 have lung cancer, that 90% of adults who have lung cancer will test positive (called a true positive), and that 8% percent of adults that do NOT have lung cancer will also test positive (called a false positive). What is the probability of actually having lung cancer if an adult tests positive for lung cancer?
A) 0.90
B) 0.08
C) None of the other answers are correct
D) 0.01
E) 0.10
Question 15 Given a survivor of the Titanic is a man, what is the probability, rounded to the nearest whole percent, the survivor was a second class passenger based on Titanic survival data.
6%
4%
5%
10%
None of the answers are correct
Question 16According to the Empirical Rule (also called the 68-95-99.7 rule), if the data form a “bell-shaped curve” (normal distribution), approximately what percent of the observations will be contained within ± 2 standard deviations from the arithmetic mean.
99.7
75.0
95.0
68.3
Question 17 Based on the Empirical Rule (also called the 68-95-99.7 rule), what part of all possible values occur between -3 and +1 standard deviations
95%.
83.85%
99.7%
None of the other answers are correct
68%
Question 18For a normal distribution with a mean of 264 and a standard deviation of 32, what is the Z value for a random value to be 237? (Use 2 decimal digits)
Question 19 A manufacturing process has acceptance limits 100 ± 3. A recent sample produced the measurements in file DATA. Assuming normal distribution, what percentage of the population does not meet the acceptance limits?
0.46%
0.67%
0.14%
0.81%
Question 20A manufacturing process produces auto tires. A sample of miles at replacement is recorded in DATA. At what mileage should the warranty be set at for warranty replacement of 0.5% of the tires?
45294
39668
41215
47359
Question 21 Select all the true statements about the normal probability distribution.
The distribution has one mode and is bell shaped.
The distribution has one mode and has positive skew.
Standardizing an observation of any normal distribution allows the use of the standard normal (Z) distribution tables.
The random variable does not take any value. It takes discrete values like the binomial distribution.
The area under the bell curve is 1 exactly.
The random variable takes any value.
The mean, median, and mode are equal.
Question 22 Whether the distribution of the mean of a large number of independent, identically distributed variables will be approximately normal depends on the underlying distribution.
True
False
Question 23Increasing the size of a sample widens the distribution of the sample statistic.
True
False
Question 24 A sample of 150 randomly selected students, found that the proportion of students planning to travel home for Thanksgiving is 0.73.
What is the standard deviation of the sampling distribution?
Round to 3 decimal digits.
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