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Instructions:
Difference Between A Population and A Sample
Jack weighs 160 pounds and his sister weighs 110 pounds. If the mean weight for men his age is 175 with a standard deviation of 14 pounds and the mean weight for women is 145 with a standard deviation of 10 pounds, determine whose weight is closer to “average.” Write your answer in terms of zscores and areas under the normal curve.
Explain the difference between a population and a sample. In which if these is it important to distinguish between the two in order to use the correct formula? mean; median; mode; range; quartiles; variance; standard deviation.
The following numbers represent the weights in pounds of six 7year old children in Mrs. Jones’ 2nd grade class.
{25, 60, 51, 47, 49, 45}
Find the mean; median; mode; range; quartiles; variance; standard deviation.
4) The Student Services office did a survey of 500 students in which they asked if the student is parttime or fulltime. Another question asked whether the student was a transfer student. The results follow.
Transfer NonTransfer Row Totals
PartTime 100 110 210
FullTime 170 120 290
Column Totals 270 230 500
If a student is selected at random (from this group of 500 students), find the probability that the student is a transfer student. P (Transfer)
b) If a student is selected at random (from this group of 500 students), find the probability that the student is a part time student. P (Part Time)
c) If a student is selected at random (from this group of 500 students), find the probability that the student is a transfer student and a part time student. P(transfer part time).
d) If a student is selected at random (from this group of 500 students), find the probability that the student is a transfer student if we know he is a part time student. P(transfer  part time).
e) If a student is selected at random (from this group of 500 students), find the probability that the student is a part time given he is a transfer student. P(part time  transfer)
f) Are the events part time and transfer independent? Explain mathematically.
g) Are the events part time and transfer mutually exclusive. Explain mathematically.
5) How do you recognize a binomial experiment?
6) How do you recognize a Poisson experiment?
7) How do you recognize a normal distribution?
8) How do you recognize a discrete distribution?
9) If a normal curve is continuous how are we able to use it for countable random variables as well?
10) Which of the following represent continuous distributions?
a) The lengths of fish in a certain lake. —
b) The number of fish in a certain lake. —
c) The diameter of 15 trees in a forest. —
d) How many trees are on a farmer’s acre. . —
11) On a dry surface, the braking distance (in meters) of a certain car is a normal distribution with mu = 45.1 m and sigma = 0.5 m.
a) Find the braking distance that corresponds to z = 1.8
b) Find the braking distance that represents the 91st percentile.
c) Find the zscore for a braking distance of 46.1 m
d) Find the probability that the braking distance is less than or equal to 45 m
e) Find the probability that the braking distance is greater than 46.8 m
f) Find the probability that the braking distance is between 45 m and 46.8 m.
12) To predict the annual rice yield in pounds we use the equation
where x1 represents the number of acres planted (in thousands) and where x2 represents the number of acres harvested (in thousands) and where r2 = .94.
a) Predict the annual yield when 3200 acres are planted and 3000 are harvested.
b) Interpret the results of this r2 value.
c) What do we call the r2 value?
13) What type of relationship is shown by this scatter plot?
14) What values can r take in linear regression? Select 4 values in this interval and describe how they would be interpreted.
15) Does correlation imply causation?
16) What do we call the r value.
17) If we have data with min = 2; Q1 = 10; median = 12; Q3 = 15; and max = 21; draw a box and whisker.
18) If we have the following data
34, 38, 22, 21, 29, 37, 40, 41, 22, 20, 49, 47, 20, 31, 34, 66
draw a stem and leaf
Difference Between A Population and A Sample
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Average Score 5085% 
4038 points More depth/detail for the background and significance is needed, or the research detail is not clear. No search history information is provided. 
8376 points Review of relevant theoretical literature is evident, but there is little integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are included. Summary of information presented is included. Conclusion may not contain a biblical integration. 
5249 points Content is somewhat organized, but no structure is apparent. The use of font, color, graphics, effects, etc. is occasionally detracting to the presentation content. Length requirements may not be met. 

Poor Quality 045% 
371 points The background and/or significance are missing. No search history information is provided. 
751 points Review of relevant theoretical literature is evident, but there is no integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are not included in the summary of information presented. Conclusion does not contain a biblical integration. 
481 points There is no clear or logical organizational structure. No logical sequence is apparent. The use of font, color, graphics, effects etc. is often detracting to the presentation content. Length requirements may not be met 

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Difference Between A Population and A Sample 
Difference Between A Population and A Sample