Ashton's SI Exam 1 Review Questions 2.0
docx
keyboard_arrow_up
School
California State University, Fullerton *
*We aren’t endorsed by this school
Course
361A
Subject
Industrial Engineering
Date
Jan 9, 2024
Type
docx
Pages
3
Uploaded by cdub400
\ISDS 361A - Exam #1 Review
(I made up figures for the word problems, so data aren’t accurate)
1. We can not use the empirical rule in these two situations.
A.
When the distribution is -skewed
B.
When the distribution has -more than one mode
2. Consider a sample with a mean of 30 and a standard deviation of 5. Use Chebyshev’s Theorem
to determine the percentage of the data within each of the following ranges:
A.
20 to 40
B.
10 to 50
3. Look at the corresponding excel sheet.
A.
Label the U.L.
B.
Label the median.
C.
Label an outlier
D.
Label Q1
4. Given that z is a standard normal random variable, compute the following probabilities.
A.
P(z >= -0.23)
B.
P(-1.57 < z <= 0)
5. I want to hire someone to build a deck. Suppose that the mean price for a customized wooden
deck is $2,900. Assume that the standard deviation is $1,000. The distribution of deck prices is
normally distributed.
A.
What is the probability I pay more than $3,400 for my deck?
B.
What is the probability I pay less than $2,800?
6. Is texting and driving causing traffic fatalities? A study found that the average number of fatal
crashes caused by drivers texting and driving each year was 1,700 (
fake stat
). Assume the annual
number of fatal crashes per year is normally distributed with a standard deviation of 350.
A.
What is the probability that greater than 1,200 fatal crashes in a year?
B.
What is the probability the number of fatal crashes will be between 1,200 and 2,400?
C.
For a year to be in the bottom 1% with respect to the number of fatal crashes, how many
fatal crashes would have to occur?
7. Let’s say final test scores for ISDS 361A are normally distributed, with a mean of 77 and a
standard deviation of 7. (out of 100 points)
A.
What percentage of students scored between a 68 and 84?
B.
Suppose you get a 88. What percentage of students taking the test score better? What
percentage of students score worse?
C.
Suppose CSUF won’t allow anyone to declare a Business Analytics concentration with a
grade lower than an 83, what percentage of students will be allowed to declare this
concentration?
8. According to Glassdoor, the average salary for a programmer in San Francisco
is $124,735 and the average salary for a programmer in Los Angeles is $101,765. Assume that
salaries are normally distributed, the standard deviation for brand managers in San Francisco
is $18,000, and the standard deviation for brand managers in Los Angeles is $20,150. (again
MADE UP numbers)
A.
What is the probability that a programmer in San Francisco has a salary in excess of
$140,000?
B.
What is the probability that a programmer in Los Angeles has a salary in excess of
$100,000?
C.
How much would a programmer in San Francisco have to make in order to have a higher
salary than 99% of the programmers in Los Angeles? And, what percentage of San
Francisco programmers make that amount?
9. The recent average starting salary for new college graduates in accounting is $47,500. Assume
salaries are normally distributed with a standard deviation of $4,500.
A.
What is the probability of a new graduate receiving a salary between $45,000 and
$50,000?
B.
What is the probability of a new graduate getting a starting salary in excess of $50,000?
C.
What percent of starting salaries are no more than $42,250?
D.
What is the cutoff for the bottom 5% of the salaries?
E.
What is the cutoff for the top 3% of the salaries?
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help