Answer questions related to central tendency, variability, normal curve, z score, probability, and binomial distribution.

Question 1

Fifty employees were surveyed on their overall job satisfaction on a scale of 1 (not at all satisfied) to 10 (extremely satisfied). Using the below data, calculate the following:

1. Start at the bottom of the table to determine the approximate median.
2. Use the median formula to determine the exact median.

Job Satisfaction

Job Satisfaction Score	Frequency
10	2
9	8
8	13
7	10
6	7
5	4
4	2
3	2
2	1
1	1

Question 2

Given the following data set:

4, 2, 2, 2, 1, 1, 4, 5, 1, 3, 3, 3, 1, 2, 2, 2, 1, 4, 4, 3, 3, 2, 1, 2, 1.

Find the:

• Mode.
• Median (ballpark).
• Mean.

Are these scores normally distributed, positively skewed, or negatively skewed? Do you expect the mean to be higher or lower than the median?

Question 3

Consider the following set of scores taken from a sample of students:

3, 45, 4, 41, 14, 75, 40, 11, 9, 5, 21, 61, 48, 61, 29, 51, 44, 67, 39, 23, 45, 57, 60, 63, 62.

Find the following:

• Range.
• Variance.
• Standard deviation.

Be sure to show your work.

Question 5

Consider the mean combined SAT score for high school seniors is 1500, and the standard deviation is 250. Calculate the percentage of students who scored at the following levels:

• Below 1000.
• Above 1750.

Question 6

For homes sold in the past year, the average number of days on the market (DOM) was 266 days. During this time, DOM was normally distributed, with a standard deviation of 12 days. The Carmichaels sold their house in 245 days. Using the Area Under Normal Curve Table document linked in the Resources under the Required Resources heading, what percentage of homeowners:

• Sold their home at the same point or earlier than the Carmichaels?
• Sold their home at a later point than the Carmichaels?
• Sold their home between 245 days and the average DOM?

Question 8

Consider the following events. If the outcomes are mutually exclusive, type “yes.” If the outcomes are not mutually exclusive, type “no.”

• Turning right or turning left.
• Studying Spanish and studying Italian.
• Flipping heads on a coin or flipping tails on a coin.
• Drawing an eight from a deck of cards or drawing a king from a deck of cards.
• Riding a bike or wearing a hat.

Question 9

Consider the following events. If the addition theorem applies, type “AT.” If the multiplication theorem applies, type “MT”:

• Drawing either a heart or a diamond from a deck of cards
• Either winning or losing a bet.
• Drawing (with replacement) a heart on three successive draws from a deck of cards.
• Rolling a six on three successive rolls of a die.

Question 10

Jane flips a coin 10 times, and each time it lands on heads. What is the probability that the 11th flip will land on heads as well?

Question 11

You have drawn nine cards. Using the Probability Binomial Table linked in the Resources under the Required Resources heading, calculate the following probabilities:

• Four or more cards will be black.
• Two or three cards will be black.
• Zero, one, or two cards will be black.
• Five cards will be black.

Submission Requirements

• Submit all answers in one Word document (do not submit multiple files).
• Show your work for questions that require calculations.
• Ensure your answer to each problem is clearly visible (you may want to highlight your answer or use a different font color to set it apart).

 

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Related Reading:

Article a: “We Have No Right to Happiness” by C.S. Lewis (pg 227-231)

Article b: “Remember Death” by Jennifer Michael Hecht (pg 233-245)

Article c: “Aversion to Happiness across Cultures: A Review of Where and Why People Are Averse to Happiness” by Mohsen Joshanloo and Dan Weijers (pg 267-279)

PROMPT: Write an analysis (minimum of at least 4 full pages) in which you carefully critique the rhetorical tactics the writer uses in their argument. For this assignment please analyze the elements in an argument (claim, support, warrant, logical fallacy, inductive or deductive logic, etc.) and rhetorical strategies (the author’s use of ethos, pathos, logos, metaphor, irony, definition, biased diction, etc.) from the assigned article. The assignment is based on the premise that all writing is aimed at a specific audience for a specific purpose. Your task with this assignment is to determine the exact goal of the piece of writing and to explore, on paper, the strategies and rhetorical devices used by the writer.

General Directions: Your essay should be thesis-centered, and follow the format of evaluation that ultimately makes an argument:

“X author _____________________ (successfully / somewhat successfully / unsuccessfully / effectively / somewhat effectively / ineffectively) convinces his/her audience of X argument using ___________________________ (these specific rhetorical tactics).

EXAMPLE:

“Jonathan Rauch is successful in using a variety of rhetorical tactics to inform the unknowledgeable public and persuade them to support biotechnology. He uses various sources with background knowledge therefore appealing to logic, while also using a narrative style to appeal emotionally to a less scientifically inclined audience. The writer establishes credibility and discusses counterarguments to effectively pander to this audience because he puts a scientifically complex subject into simple terms for the reader.”

You’ll want to summarize the author’s ideas in the introduction and immediately identify the core audience the author is trying to convince. Your essay should then analyze specific rhetorical strategies that the author employs in his or her argument and explain how each has helped to convince or not convince the author’s intended audience.

Getting Started: Before you being your analysis, identify the target audience. Who is the author trying to convince? Are you part of that group? Are you convinced? Why or why not?

Format: Essays should be typed and saved as a Microsoft Word Document (.doc) file, and they will be graded according to three general criteria: adherence to the assignment, quality of content, and skill of English usage. Every essay should be in MLA format: double-spaced—including the title and your setup information (name, course, instructor, date)—and have 1-inch margins all around.

 

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