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Statistics Methods for Engineering Practice Exam with Solved Exercises | STAT 4604, Exams of Statistics

Virginia Polytechnic Institute and State University (Virginia Tech)Statistics
Prof. Leigh Michelle Harrell

Material Type: Exam; Professor: Williams; Class: Stat Methods for Engr; Subject: Statistics; University: Virginia Polytechnic Institute And State University; Term: Fall 2006;

Typology: Exams

Pre 2010

Uploaded on 10/22/2006

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STAT 4604 Practice Exam – Exam 1
1. One report stated that 60% of people live in the same state that they were born in. What is the
probability that in a sample of 10 people that at least 8 live in the same state as where they were
born? (Think about why this is binomial.)
2. If f(x) is a gamma function with λ = 2 and r = 4, what is the mean and standard deviation?
3. In designing pilot seats to accommodate women, it is found that women’s weights are normally
distributed with a mean of 143 pounds and std. deviation of 29 pounds. If a woman is randomly
selected, what is the probability that she weighs between 143 and 201 pounds?
4. Using the info from #4, what is the 39th percentile of weights?
5. What is P(-1.22 < z < 2.11)?
[DATA IN ORIGINAL REVIEW FILE]
a) What is the average gas consumption? What is the median? What is the variance?
pf2

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Download Statistics Methods for Engineering Practice Exam with Solved Exercises | STAT 4604 and more Exams Statistics in PDF only on Docsity!

STAT 4604 Practice Exam – Exam 1

  1. One report stated that 60% of people live in the same state that they were born in. What is the probability that in a sample of 10 people that at least 8 live in the same state as where they were born? (Think about why this is binomial.)
  2. If f(x) is a gamma function with λ = 2 and r = 4, what is the mean and standard deviation?
  3. In designing pilot seats to accommodate women, it is found that women’s weights are normally distributed with a mean of 143 pounds and std. deviation of 29 pounds. If a woman is randomly selected, what is the probability that she weighs between 143 and 201 pounds?
  4. Using the info from #4, what is the 39th percentile of weights?
  5. What is P(-1.22 < z < 2.11)?

[DATA IN ORIGINAL REVIEW FILE]

a) What is the average gas consumption? What is the median? What is the variance?

b) Are there any outliers for gas consumption, based on the boxplot below? Is the distribution symmetric?

C 0 2 4 6 8 10 12

Boxplot of C

c) What is the value of the correlation coefficient?

d) Based on the value of the linear correlation coefficient, what can be concluded? a. There is almost a perfect positive linear association between the two variables. b. There is evidence of no linear association between the two variables. c. There is almost a perfect negative linear association between the two variables. d. The number of heating degree-days causes specific natural gas consumptions.

  1. The distance between major cracks in a highway follows an exponential distribution with a mean of 5 miles. What is the standard deviation of the distance between major cracks?

7. A chi-squared variable has 10 degrees of freedom. What is P( χ 2 < 4.87)? What is

P( χ 2 > 23.21)?