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# Math homework help

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## problem will use the subprime data to walk you through calculating a difference i

This problem will use the subprime data to walk you through calculating a difference in means test. To begin this problem first download subprime data and load it into STATA. These are data collected by the U.S. government on all home-lending transactions in Cape Coral and Fort Myers (Florida).

## Two congressional scholars are discussing the extent to which members of the U.S. House of Representatives stay in touch with the voters in their states.

Problem 1

Two congressional scholars are discussing the extent to which members of the U.S. House of Representatives stay in touch with the voters in their states.

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## Where are the deer? Random samples of square-kilometer plots were taken in different ecological locations of

one way Nova

Where are the deer? Random samples of square-kilometer plots were taken in different ecological locations of Mesa Verde National Park. The deer counts per square kilometer were recorded and are shown in the following table.

Mountain Brush

Sagebrush Grassland

Pinon Juniper

32

19

9

29

60

4

19

16

## For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. In a random sample of 62 professional actors, it was found that 36 were extroverts. (a) Let p represent the proportion of all

For this problem, carry at least four digits after the decimal in your calculations.

Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of μ = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers.

## In a random sample of 62 professional actors, it was found that 36 were extroverts.

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

In a random sample of 62 professional actors, it was found that 36 were extroverts.

(a) Let p represent the proportion of all actors who are extroverts. Find a point estimate for p. (Round your answer to four decimal places.)

(b) Find a 95% confidence interval for p. (Round your answers to two decimal places.)

lower limit

upper limit

## Consider the following two propositions: p: It snows tonight. q: I will stay home. Use negation (~), conjunction (˄),

2) Consider the following two propositions:

p: It snows tonight.

q: I will stay home.

Use negation (~), conjunction (˄), disjunction (˅), and/or implication (→) to construct a logical equivalence of p→q.

Construct the truth table for both statements and explain how the truth tables establish logical equivalences.

P Q p→q

T T T

T F F

F T T

F F T

P Q

T T T

T F

F T

F F

## Imagine a country path, D, in miles in length, which a person walks

Imagine a country path, D, in miles in length, which a person walks at a steady pace in T hours. Suppose that a straight line represents the cartesian graph of time (T) versus the distance (D) for this walk. What is the slope of this straight line graph, and what does it represent?

Can you think of another example, which, if visually depicted, would have a straight line for its graph?

Minimum words - 200 words (at least). Good grammar and logic of presentation required.

## M ATH 1001 D IFFERENTIAL C ALCULUS Semester 1 Assignment 2014

T HE UNIVERSITY OF SYDNEY

M ATH 1001 D IFFERENTIAL C ALCULUS

Semester 1

Assignment

2014

This assignment is due on Tuesday 15th April at 4pm. It should be posted in the locked collection

boxes on the verandah of Carslaw Level 3, which are located at the end of the verandah closest to

Eastern Avenue. (Note: Don’t use the locked collection boxes near the pyramids on Carslaw Level 3,

nor the open pigeonholes.) Please do not post your assignment before 15th April, since the boxes are

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