STAT 200 University of Maryland Baltimore Statistics Midterm Im having trouble with this exam 1.For the following data construct a frequency distribution,

STAT 200 University of Maryland Baltimore Statistics Midterm Im having trouble with this exam 1.For the following data construct a frequency distribution, showing lower and upper class limits, frequency, cumulative frequency, relative frequency, cumulative relative frequency and midpoints. Use 6 intervals.

10, 13, 14, 15, 16, 19, 22, 23, 25, 28, 29, 33, 37, 39, 42, 47, 48, 54, 55, 59, 62, 69, 75, 78, 81.

2.A study was done on a new pain medication in which a sample 35 arthritis patients were given a new drug and another sample of 35 arthritis patients were given a placebo. They were then asked to rate their amount of pain an hour after taking their pills. Is this an experimental or an observational study.

3.Find the mean, median and mode for the data in problem number one.

4.For problem #3 what be the best measure of center and why.

5.Describe what level of data each variable would fit.

a.Number of Fords and Chevy’s in a parking lot.

b.Weights of boys on a baseball team.

c.First three finishers in the Boston Marathon.

d.Average temperature per month in Anchorage Alaska.

6.In how many ways can you choose 5 people out of a group of 32.

7.In how many ways can you choose a President, Vice-President, Secretary and Treasure out of a group 25 students.

8.The following table represents the amounts of certain types of cars in a student parking lot.

Ford

Toyota

Dodge

Chevy

BMW

41

46

29

37

24

If I put the names of all of these cars in a hat and randomly choose one of them what is the probability I would choose.

a.A Dodge

b.A Chevy

c.A BMW

d.I would not choose a Ford. MIDTERM STAT 200-6997 DUE 7/28
1. For the following data construct a frequency distribution, showing lower
and upper class limits, frequency, cumulative frequency, relative frequency,
cumulative relative frequency and midpoints. Use 6 intervals.
10, 13, 14, 15, 16, 19, 22, 23, 25, 28, 29, 33, 37, 39, 42, 47, 48, 54, 55, 59,
62, 69, 75, 78, 81.
2. A study was done on a new pain medication in which a sample 35 arthritis
patients were given a new drug and another sample of 35 arthritis patients
were given a placebo. They were then asked to rate their amount of pain
an hour after taking their pills. Is this an experimental or an observational
study.
3. Find the mean, median and mode for the data in problem number one.
4. For problem #3 what be the best measure of center and why.
5. Describe what level of data each variable would fit.
a. Number of Fords and Chevy’s in a parking lot.
b. Weights of boys on a baseball team.
c. First three finishers in the Boston Marathon.
d. Average temperature per month in Anchorage Alaska.
6. In how many ways can you choose 5 people out of a group of 32.
7. In how many ways can you choose a President, Vice-President, Secretary
and Treasure out of a group 25 students.
8. The following table represents the amounts of certain types of cars in a
student parking lot.
Ford Toyota Dodge Chevy BMW
41
46
29
37
24
If I put the names of all of these cars in a hat and randomly choose one of
them what is the probability I would choose.
a.
b.
c.
d.
A Dodge
A Chevy
A BMW
I would not choose a Ford.
9. If I take a true-false test with 20 questions, what are the following
probabilities, if I guess on each question. A true-false test follows a
binomial distribution.
a. I get exactly 11 correct.
b. I get at least 13 correct.
c. I get at most 10 correct.
d. I pass the test. I need to get 12 correct to pass the test.
10. If 30% of the students at a certain school are males. Consider a group of
10 males at that school.
a. State the random variable
b. Write the probability distribution
c. Draw a histogram
d. Describe the shape of the histogram
e. Find the mean
f. Find the variance.
g. Find the standard deviation
11. The following pertain to the normal distribution and finding z-scores. Find
the appropriate z-scores.
a. The area to the right of z is 25%
b. The area to the left of z is 68%
c. The area between -z and z is 90%
d. The area to the left of z is 95%.
12. If test scores for SAT scores are normally distributed with a mean of 1900
and a standard deviation of 125. Find the following
a. The probability a student receives a test score greater than 2200
b. The probability a student receives a test score between 1750 and 2175.
c. The probability a student receives a test score less than 1800.
d. If Stanford only accepts students who score in the top 7% of the SAT
score, what score would you have to receive to get into Stanford.
13. If I do not know the shape of the distribution of a random variable and I
take samples of size 15, can I use the normal distribution for the shape of
the distribution of their sample means. Yes or no.
14.For the above question if I take samples of size 35 can I now use the normal
distribution for the shape of the distribution of sample means.
15. If I take a sample of 25 from a population that is normally distributed with
a mean of 30 and standard deviation of 7. What is the mean and standard
deviation for the distribution of sample means for this sample.
16. For problem #12 if I take a sample of 40 students what is the probability
their average SAT score will be greater than 200.
17. What is the probability that same sample of 40 students will have an
average test score less than 1800.
18. If there is a difference in the answers from #12 to #’s 16 & 17, why do you
think that is.
19. If I compute a confidence interval with a sample size of 200 and I then
increase that sample to 300 what will happen to the confidence interval.
Will it increase, decrease or stay the same.
20. Find a 90% confidence interval for the SAT scores from problem #12.
21.
If California has 400769 confirmed cases of COVID-19 and 7,769
deaths related to the disease find as 95% confidence interval for California’s
death rate for COVID-19.
22. The Governor of California claims the COVID 19 DEATH RATE IS LESS
THAN 3%. Test this claim at a significance level of .05.
23. If there are 5 buildings at a school and I randomly choose 20 subjects
from each building what type of random sampling method is this.
24. If at this same school I put every ones name in a hat and randomly chose
100 students what type of random sampling method is this.
25. If I take samples of size 40 from the home prices in Los Angeles, which I
know to be heavily skewed to the right.
a. What will be the shape of the sampling distribution of the means.
b. Suppose in my sample my mean is $350000 and my standard deviation
is $975.00. What is the mean and standard deviation for the
distribution of sample means.

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