For computation problems, show all of your work, round all intermediate andfinal results out to exactly 2 decimal places...
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For computation problems, show all of your work, round all intermediate and
final results out to exactly 2 decimal places, and draw a box around your
final answer.
1) [3 pts.] For each case below, identify whether each of the two variables is
of nominal, ordinal, or continuous (quantitative) type. State whether the
study is experimental or observational. If experimental, identify the
independent and dependent variables and note whether or not the
independent variable involves purely random assignment.
a) Data is collected from 20 elves about both productivity (cookies made per
day) and years of employment at the cookie factory. The question is whether
productivity changes with years employed.
b) All subject arrive at the lab at the same time. A roll of a die is used to
place each subject into either a placebo group or a new cold medicine group.
If the die lands at 1,2, or 3, the subject is placed in the placebo group.
Otherwise, they are placed in the cold medicine group. All are then exposed
to a cold virus, sent home for 3 days to take their treatment, and then return
and rate their cold symptoms on a scale: none, mild, moderate, high, severe.
c) Subjects are shown a video of a moving care running into a parked care.
For half of the subjects, the title of the video is âCar hits car.â The other half
of subjects sees the identical video but with the title âCar smashes car.â All
subjects are then asked how fast the car was moving (MPH). The researcher
has the hypothesis that estimated speed (in mph) will be faster for subjects
who saw the âsmashâ title than for those who saw the âhitâ title (which is in
fact true). All subjects who saw the âhitâ title were run in the first summer
term and all who saw the âsmashedâ title were run in the second summer
term.
For problems 2 - 4 below, use the following set of scores. Treat these data as
a sample. 43 27 34 50 36 109 10 42 27 55 93 45 98 58 68 24 70 79 64 93 50
97 69 50 74
2) [6 pts.] Create grouped, relative, and cumulative relative frequency
distribution tables of the data. Use percent rather than proportion to make
the relative and cumulative relative frequency distributions. Also, be sure to
follow the guidelines from the textbook.
3) [4 pts.] Create a histogram of the data from problem 2.
4) [3 pts.] Calculate the major mode, the median, and mean for the data
from problem 2.
5. [3 pts.] Recalculate the mode, median, and mean if one additional
observation, 200, is added to the 25 observations in the data set above (for a
new total of 26 observations). (You can do this problem by using some of the
results you just calculated.) Which measure of central tendency changed the
most? Which changed the least? Why? What would the new observation be
called by a statistician?
6) [1 pt.] In the psychology department, there are 5 Golden Retrievers, 2
German Shepherds, and one Pug dog. Which measure(s) of central
tendency can be used (identify all that apply)?
7) [1 pt.] In the psychology department, 13 graduate students like mild
sauce, 9 like medium, 12 like it hot, and 11 like it extra hot. Which
measure(s) of central tendency can be used (identify all that apply)?
final results out to exactly 2 decimal places, and draw a box around your
final answer.
1) [3 pts.] For each case below, identify whether each of the two variables is
of nominal, ordinal, or continuous (quantitative) type. State whether the
study is experimental or observational. If experimental, identify the
independent and dependent variables and note whether or not the
independent variable involves purely random assignment.
a) Data is collected from 20 elves about both productivity (cookies made per
day) and years of employment at the cookie factory. The question is whether
productivity changes with years employed.
b) All subject arrive at the lab at the same time. A roll of a die is used to
place each subject into either a placebo group or a new cold medicine group.
If the die lands at 1,2, or 3, the subject is placed in the placebo group.
Otherwise, they are placed in the cold medicine group. All are then exposed
to a cold virus, sent home for 3 days to take their treatment, and then return
and rate their cold symptoms on a scale: none, mild, moderate, high, severe.
c) Subjects are shown a video of a moving care running into a parked care.
For half of the subjects, the title of the video is âCar hits car.â The other half
of subjects sees the identical video but with the title âCar smashes car.â All
subjects are then asked how fast the car was moving (MPH). The researcher
has the hypothesis that estimated speed (in mph) will be faster for subjects
who saw the âsmashâ title than for those who saw the âhitâ title (which is in
fact true). All subjects who saw the âhitâ title were run in the first summer
term and all who saw the âsmashedâ title were run in the second summer
term.
For problems 2 - 4 below, use the following set of scores. Treat these data as
a sample. 43 27 34 50 36 109 10 42 27 55 93 45 98 58 68 24 70 79 64 93 50
97 69 50 74
2) [6 pts.] Create grouped, relative, and cumulative relative frequency
distribution tables of the data. Use percent rather than proportion to make
the relative and cumulative relative frequency distributions. Also, be sure to
follow the guidelines from the textbook.
3) [4 pts.] Create a histogram of the data from problem 2.
4) [3 pts.] Calculate the major mode, the median, and mean for the data
from problem 2.
5. [3 pts.] Recalculate the mode, median, and mean if one additional
observation, 200, is added to the 25 observations in the data set above (for a
new total of 26 observations). (You can do this problem by using some of the
results you just calculated.) Which measure of central tendency changed the
most? Which changed the least? Why? What would the new observation be
called by a statistician?
6) [1 pt.] In the psychology department, there are 5 Golden Retrievers, 2
German Shepherds, and one Pug dog. Which measure(s) of central
tendency can be used (identify all that apply)?
7) [1 pt.] In the psychology department, 13 graduate students like mild
sauce, 9 like medium, 12 like it hot, and 11 like it extra hot. Which
measure(s) of central tendency can be used (identify all that apply)?
