Written Homework Assignment
Directions: Write out your solutions to the questions below on a separate sheet of paper. Please
include in your submission who you worked with on the assignment. Make sure to clearly number
your problems and show all work. Scan your written work, save it as a PDF file, and submit it on
Canvas. Late assignments will receive a grade of zero unless prior arrangements are made with me.
You may work with two other people in the class on the assignment. You are still responsible for
understanding all of the material and writing up your own answers. Write the names of your partners
on your paper at the top under your name. Otherwise, you should not discuss the written homework
with others. The copying of solutions from websites, classmates, or other sources is considered
plagiarism. Plagiarism will result in a 0 and being reported for academic dishonesty!
Assignment: Show all of your work! For all these problems, you must show the calculator command
to earn full credit. (56 points total)
1) (4 pts each) The height of adult women in the U.S. can be described by the Normal model
๐(64.5, 2.5).
a. What percent of women are shorter than 60 inches?
b. What percent of women are taller than 73 inches?
c. What percent of women are between 58 inches and 70 inches?
d. Find the height of a woman who is in the 70th percentile.
e. Describe the height of the tallest 5% of women.
f. Describe the heights of the middle 65% of women.
g. Find the interquartile range.
that farsightedness affects about 21% of children between 6 months and 6 years old. A local day
care center has 200 children enrolled.
a) Find the mean and standard deviation of the sampling distribution and describe the sampling
distribution using the notation ๐(๐, ๐).
b) What is the probability that less than 15% of the children at the day care are farsighted?
c) What is the probability that more than 25% of the children at the day care are farsighted?
d) If this day care center measures at the 90th percentile, what proportion of the children are
farsighted?
3) (4 pts each) Use the information from this chapter and what you learned from Chapter 5 regarding
the normalcdf command to answer the questions below. College board reported that the mean for
the AP Calculus AB exam was 2.96 and a standard deviation of 1.58. At a high school, the size of
the BC Calculus classes are 30. Assume all students in the BC Calculus class took AB Calculus the
year before.
a) Find the mean and standard deviation of the sampling distribution and describe the sampling
distribution using the notation ๐(๐, ๐).
b) What is the probability of a BC Calculus class having above a 3.5 average on the AB exam?
Make sure you to use the calculator commands and write out what you entered in your
calculator.
c) What is the probability of a BC Calculus class having below an average of 2.7 on the AB
exam? Make sure you to use the calculator commands and write out what you entered in
your calculator
