Luke Humphrey

Numerade Educator
STEM Student

Biography

Luke has not yet added a biography.

Education

Luke has not yet added their education credentials.

Educator Statistics

Numerade tutor for 3 years
2339 Students Helped

Topics Covered

Discover the Power of the Cell: Unleash Your Potential with Our Products
The Importance of Understanding the Cell Cycle for Cellular Reproduction
Discover the Fascinating World of Vertebrates: A Comprehensive Guide
SAT Math - Advanced Math
Exploring Probability Topics: From Basics to Advanced Strategies
Hypothesis Testing with One Sample: A Comprehensive Guide
Hypothesis Testing with Two Samples: A Comprehensive Guide

Luke's Textbook Answer Videos

0:00
Elementary Statistics

Use the given probability value to determine whether the sample results could easily occur by chance, then form a conclusion.A study addressed the issue of whether pregnant women can correctly predict the gender of their baby. Among 104 pregnant women, 57 correctly predicted the gender of their baby (based on data from "Are Women Carrying 'Basketballs'. by Perry, DiPietro, Constigan, Birth, Vol. 26, No. 3). If pregnant women have no such ability, there is a 0.327 probability of getting such sample results by chance. What do you conclude?

Chapter 4: Probability
Section 1: Basic Concepts of Probability
Luke Humphrey
0:00
An Introduction to Game Theory

Two firms are developing competing products for a market of fixed size. The longer a firm spends on development, the better its product. But the first firm to release its product has an advantage: the customers it obtains will not subsequently switch to its rival. (Once a person starts using a product, the cost of switching to an alternative, even one significantly better, is too high to make a switch worthwhile.) A firm that releases its product first, at time $t$, captures the share $h(t)$ of the market, where $h$ is a function that increases from time 0 to time $T$, with $h(0)=0$ and $h(T)=1$. The remaining market share is left for the other firm. If the firms release their products at the same time, each obtains half of the market. Each firm wishes to obtain the highest possible market share. Model this situation as a strategic game and find its Nash equilibrium (equilibria?). (When finding firm $i^{\prime}$ s best response to firm $j$ 's release time $t_{j}$, there are three cases: that in which $h\left(t_{j}\right)<\frac{1}{2}$ (firm $j$ gets less than half of the market if it is the first to release its product), that in which $h\left(t_{j}\right)=\frac{1}{2}$, and that in which $h\left(t_{j}\right)>\frac{1}{2}$.)

Chapter 3: Nash Equilibrium: Illustrations
Luke Humphrey
0:00
Essential Geriatrics

An 80-year-old man with Parkinson’s disease has been admitted to the surgical ward for an elective bowel operation. His Parkinson’s disease is usually well controlled with co-careldopa 25/100 (carbidopa 25 mg, levodopa 100 mg) four times daily, entacapone 200 mg four times daily and co-careldopa modified release 50/200 (carbidopa 50 mg, levodopa 200 mg) at night. The surgical team plan to convert
all of his medication to a dispersible formulation of levodopa and administer it via a nasogastric tube peri-operatively. What is the equivalent dose of dispersible levodopa that should be given over a 24-hour period?
A. 420 mg
B. 600 mg
C. 660 mg
D. 780 mg
E. 910 mg

Chapter 2: Part B Brain
Luke Humphrey
0:00
International Financial Management

Financing with Foreign Equity The U.S. firm Orlando Co. is funded in dollars, with a capital structure of 60 percent debt and 40 percent equity. Its Thailand business is funded in Thai baht, with a capital structure of 50 percent debt and 50 percent equity. The corporate tax rate on U.S. earnings and on Thailand earnings is 30 percent (federal and state combined). The annualized 10 -year risk-free interest rate is 6 percent in the United States and 21 percent in Thailand. The annual real rate of interest is 2 percent in the United States and 2 percent in Thailand. Interest rate parity exists. Orlando pays 3 percentage points above the risk-free rates when it borrows, so its before-tax cost of debt is 9 percent in the United States and 24 percent in Thailand. Orlando expects that the U.S. stock market return will be 10 percent per year, whereas the Thailand stock market return will be 28 percent per year. Its business in the United States has a beta of 0.8 relative to the U.S. market, while its business in Thailand has a beta of 1.1 relative to the Thai market. The equity used to support Orlando's Thai business was created from retained earnings by the Thailand subsidiary in previous years. Now, however, Orlando $\mathrm{Co}$. is considering a stock offering in Thailand that is denominated in Thai baht and targeted at Thai investors. Estimate Orlando's cost of equity in Thailand that would result from issuing stock in Thailand.

Chapter 17: Multinational Capital Structure and Cost of Capital
Luke Humphrey
1

Luke's Quick Ask Videos

06:23
Intro Stats / AP Statistics

To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow.

Temperature
50°C
60°C
70°C

30
33
27

20
34
32

32
37
32

35
26
34

28
30
35

Construct an analysis of variance table (to 2 decimals, if necessary).
Round p-value to four decimal places.

Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
p-value

Treatments
Error
Total

Use a .05 level of significance to test whether the temperature level has an effect on the mean yield of the process.

The p-value is

Select: less than .01
between .01 and .025
between .025 and .05
between .05 and .10
greater than .10

What is your conclusion?

Select: Conclude that the mean yields for the three temperatures are not all equal
Conclude that the mean yields for the three temperatures are all equal

Luke Humphrey
04:21
Intro Stats / AP Statistics

Elena Martin is campaigning for the city council. She has two types of lawn signs to distribute: large ones and small ones. She wonders if the size of the sign affects residents' willingness to display the signs on their property.

Early in the campaign, her staff obtained a list of homeowners in each of the city's 10 voting districts who are registered in her political party and presumably not averse to advertising their support for her. The staff randomly selects homeowners in each of the 10 districts, to some of whom they send large signs, and to others, small signs. Two weeks later, staff members drive by each home to which they sent the signs to record whether or not the sign is being displayed.

Here are the percentages of homes displaying the signs in each district:
Large Sign: 34%, 41%, 41%, 44%, 30%, 36%, 32%, 38%, 28%, 29%
Small Sign: 31%, 47%, 40%, 49%, 27%, 39%, 36%, 43%, 22%, 37%

Please state the null and alternative hypotheses in the above scenario.
Is the alternative hypothesis directional or non-directional?
Please explain.
Please compute the independent-samples t-test. Please state its associated p-value. What decision would you make about which hypothesis to believe at a Type I alpha error rate (p-value) of 0.05?

Luke Humphrey
03:15
Intro Stats / AP Statistics

A histogram with 7 class labels along the horizontal axis is given.
The horizontal axis is labeled: SAT Score.
The vertical axis is labeled: Frequency.
Centered over the leftmost label, 800-999, a bar is drawn 1 unit tall. Moving to the right, information about the remaining bars (beginning with class label) is listed.
1,000-1,199: 3 units tall
1,200-1,399: 7 units tall
1,400-1,599: 10 units tall
1,600-1,799: 6 units tall
1,800-1,999: 2 units tall
2,000-2,199: 1 unit tall

A histogram with 7 class labels along the horizontal axis is given.
The horizontal axis is labeled: SAT Score.
The vertical axis is labeled: Frequency.
Centered over the leftmost label, 800-999, a bar is drawn 10 units tall. Moving to the right, information about the remaining bars (beginning with class label) is listed.
1,000-1,199: 6 units tall
1,200-1,399: 7 units tall
1,400-1,599: 2 units tall
1,600-1,799: 3 units tall
1,800-1,999: 1 unit tall
2,000-2,199: 1 unit tall

A histogram with 7 class labels along the horizontal axis is given.
The horizontal axis is labeled: SAT Score.
The vertical axis is labeled: Frequency.
Centered over the leftmost label, 800-999, a bar is drawn 1 unit tall. Moving to the right, information about the remaining bars (beginning with class label) is listed.
1,000-1,199: 1 unit tall
1,200-1,399: 3 units tall
1,400-1,599: 2 units tall
1,600-1,799: 7 units tall
1,800-1,999: 6 units tall
2,000-2,199: 10 units tall

(b)
Comment on the shape of the distribution.
The distribution is heavily skewed to the left. The distribution is nearly symmetrical. The distribution is heavily skewed to the right.

(c)
What other observations can be made about the SAT scores based on the tabular and graphical summaries?
30 of the scores are between 1,400 and 1,599. The maximum SAT score looks to be around 1,500. Scores below 800 or above 2,200 are very frequent.

Luke Humphrey
05:12
Intro Stats / AP Statistics

Pet Owners: A Study of Pet Owners and their Ownership of Dogs and Cats

A study of pet owners showed the following information concerning the ownership of dogs and cats. At α=0.05, is there a relationship between the number of people in a family and dog or cat ownership? Use the critical value method with tables.

1 person
2 people
3 people
4 or more people
Dog
7
19
10
24
Cat
7
14
23
16

State the hypotheses and identify the claim.

H0: Pet ownership is independent of the number of people living in the household. (Claim)
H1: Pet ownership is dependent on the number of people living in the household. (Not claim)

2) Find the critical value
3) Find the test value
4) Make the decision of the null hypothesis
5) Summarize the results

Luke Humphrey
01:42
Biology

Recall Suzanne Simard's study of mycorrhizal relationships in Pacific Northwest forests. A graduate student is studying nutrient flows in mycorrhizae, specifically whether the same species will share phosphorus, a nutrient that is frequently in limited supply for trees. Based on her findings with carbon flows, you would expect that they will find:

Group of answer choices
Exchange of materials among all three species.
Flow of phosphorus between Douglas fir and paper birch but not with red cedar.
No phosphorus flows because the networks exist for sharing carbon only.
Flow of phosphorus between Douglas fir and red cedar but not with paper birch.
Flow of phosphorus between red cedar and paper birch but not with Douglas fir.

Luke Humphrey
03:22
Intro Stats / AP Statistics

A sample of 5 months of sales data provided the following
information.
Month
1
2
3
4
5
Units Sold
92
96
86
92
99
(a)
Develop a point estimate of the population mean number of units
sold per month.
(b)
Develop a point estimate of the population standard deviation.
(Round your answer to two decimal places.)

Luke Humphrey
1 2 3 4 5 ... 636