Frank Deng

Northwestern University
Professor

Biography

I'm a passionate teacher and researcher in physics and math.

Education

BS Physics
Northwestern University

Educator Statistics

Numerade tutor for 5 years
6370 Students Helped

Topics Covered

Unlocking the Power of Potential Energy: Discover the Benefits
Save Energy and Money with Effective Conservation Techniques

Frank's Textbook Answer Videos

1

Frank's Quick Ask Videos

03:49
Intro Stats / AP Statistics

Heights of male students. To estimate the mean height μ of male
students on
your campus, you will measure an SRS of students. Heights of people
of the same
sex and similar ages are close to Normal. You know from government
data that the
standard deviation of the heights of young men is about 2.8 inches.
Suppose that
(unknown to you) the mean height of all male students is 70
inches.
(a) If you choose one student at random, what is the probability
that he is between
69 and 71 inches tall?
(b) You measure 25 students. What is the sampling distribution of
their average
height x?
(c) What is the probability that the mean height of your sample is
between 69
and 71 inches?

Frank Deng
04:10
Calculus 1 / AB

Suppose you are climbing a hill whose shape is given by the equation z = 1700 - 0.005x^2 - 0.01y^2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1666). The positive x-axis points east and the positive y-axis points north.

a) At what rate? (Round your answer to two decimal places.)
b) In which direction is the slope largest?
c) What is the rate of ascent in that direction?
d) At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.)

Frank Deng
05:39
Intro Stats / AP Statistics

In the Better Business Bureau settled of
complaints they received in the United States. Suppose you have
been hired by the Better Business Bureau to investigate the
complaints they received this year involving new car dealers. You
plan to select a sample of new car dealer complaints to estimate
the proportion of complaints the Better Business Bureau is able to
settle. Assume the population proportion of complaints settled for
new car dealers is , the same as the overall proportion of
complaints settled in . Use the z-table.
a. Suppose you select a sample
of complaints involving new car dealers. Show the
sampling distribution of .
(to decimals)
(to decimals)
b. Based upon a sample
of complaints, what is the probability that the sample
proportion will be within of the population proportion
(to decimals)?
probability
c. Suppose you select a sample
of complaints involving new car dealers. Show the
sampling distribution of .
(to decimals)
(to decimals)
d. Based upon the larger sample
of complaints, what is the probability that the sample
proportion will be within of the population proportion
(to decimals)?
probability
e. As measured by the increase in
probability, how much do you gain in precision by taking the larger
sample in part (d)?
The probability of the sample proportion being
within of the population mean is increased
by (to decimals).

Frank Deng
01:14
Intro Stats / AP Statistics

A medical researcher wants to compare the pulse rates of smokers
and non-smokers. He believes that the pulse rate for smokers and
non-smokers is different and wants to test this claim at the 0.01
level of significance. The researcher checks 44 smokers and finds
that they have a mean pulse rate of 85, and 37 non-smokers have a
mean pulse rate of 83. The standard deviation of the pulse rates is
found to be 9 for smokers and 6 for non-smokers. Let μ1 be the true
mean pulse rate for smokers and μ2 be the true mean pulse rate for
non-smokers. Step 2 of 4: Compute the value of the test statistic.
Round your answer to two decimal places.

Frank Deng
01:06
Physics 101 Mechanics

A person who has a mass of 82.1 is riding a 10 kg mountain bike.
The gauge pressure in both tires is 7.7. If the weight of the biker
and bike is distributed evenly between the two tires, what is the
area of contact between the bike tires and the
ground?

Frank Deng
02:36
Intro Stats / AP Statistics

The hourly wages in a particular industry are normally
distributed with known mean $37 and standard deviation $96. A
company in this industry pays its employees an average of $18 per
hour. Can this company be accused of paying substandard wages? How
many employee wages must we collect whilst holding the average wage
paid constant, to debunk this accusation at a 95% confidence level?
Round to the nearest whole number (not necessarily round up).

Frank Deng
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