Question

# The following data represents the exam scores of students in Econ 220 VV22, which is one...

1. The following data represents the exam scores of students in Econ 220 VV22, which is one of several sections of Econ 220 in a college. You can take this as a sample.

 Student Score 1 82 2 70 3 50 4 60 5 75 6 65 7 55 8 80 9 85 10 90 11 95 12 94 13 35 14 40 15 65 16 95 17 91 18 55 19 65 20 76 21 86 22 96 23 84 24 57 25 77 26 87 27 90 28 68 29 88 30 89 31 90 32 92
1. Compute the standard deviation (you may use excel)
1. Construct a 95% confidence interval.
2. What is the probability that a randomly selected student scores more than 90.
3. What is the probability that a randomly selected student scores less 90.
4. What is the probability that a randomly selected student scores between 30 and 95?

Using excel you will find that for the sample

for 95% confidence interval

Z= 1.96

Therefore the 95% confidence interval is (69.99,81.69)

b)

P(X>90) = 1- P(X<=90)

c)

d)

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