Math 227 - Statistics » Spring 2022 » Homework 01
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Question #1
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.
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 #2
A polling company reported that 46% of 2,399 surveyed adults said that they play football. What is the actual number of people who play football?
A.
1,399
B.
1,004
C.
1,104
D.
1.105
Question #3
Alex and Juana went on a 22-mile canoe trip with their class. On the first day they traveled 12 miles. What percent of the total distance did they canoe? (Enter the percentage rounded to the nearest hundredth without the % sign.)
A.
40.25
B.
51.75
C.
50.55
D.
54.55
Question #4
An advertisement for a heating pad says that it can reduce back pain by 200%. What is wrong with this statement?
A.
The statement does not mention the initial amount of back pain.
B.
If back pain 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.
C.
The actual amount of the decrease in back pain is less than 100%.
D.
If the heating pad eliminated all back pain, it would result in a 100% reduction, so the heating pad could not reduce back pain by more than 100%.
Question #5
Determine whether the data described below are qualitative or quantitative and explain why. The types of climates for different regions (tropical, temperate, arid, etc.) Choose the correct answer below.
A.
The data are qualitative because they don't measure or count anything.
B.
The data are qualitative because they consist of counts or measurements.
C.
The data are quantitative because they don't measure or count anything.
D.
The data are quantitative because they consist of counts or measurements.
Question #6
The number of limbs on a 2-year-old oak tree is 21. Does the data come from a discrete or continuous data set?
A.
A continuous data set because there are infinitely many possible values and those values can be measured.
B.
The data set is neither continuous nor discrete.
C.
A continuous data set because there are infinitely many possible values and those values can be counted.
D.
A discrete data set because the possible values can be counted.
Question #7
Favorite films. Which level of measurement is most appropriate for this data?
A.
interval
B.
nominal
C.
ordinal
D.
ratio
Question #8
Ages of children. Which level of measurement is most appropriate for this data?
A.
ordinal
B.
ratio
C.
nominal
D.
interval
Question #9
An education researcher randomly selects 48 middle schools and interviews all the teachers at each school. Identify the type of sampling used.
A.
stratified
B.
cluster
C.
convenience
D.
systematic
E.
random
Question #10
To avoid working late, a quality control analyst simply inspects the first 100 items produced in a day. Identify the type of sampling used.
A.
stratified
B.
systematic
C.
convenience
D.
random
E.
cluster
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