10. A researcher claims that the mean rate of individuals below poverty in the City of Chicago is below 17 %. Based on the data represented for the years 2005 – 2011, perform a hypothesis test to test his claim using a significance level of α = 0.10.

11. Would your conclusion change for question 10 if you used a significance level of α = 0.05? Explain.

12. A survey conducted at Chicago Public Schools (CPS) involving high school students on whether they had participated in binged drinking during the past month. Binge drinking was defined as 5 or more drinks in a row on one or more of the past 30 days.

a. From the sample data is there evidence that the proportion of students who participate in binge drinking is greater than 10%? Write a null and alternative hypothesis and perform an appropriate significance test using α=0.05.

b. Construct a 90% Confidence Interval for the population proportion. Does it support the same conclusion as in 12a? Explain.

(Problem 6)     In a popular day care center, the probability that a child will play with the computer is 0.45; the probability that he or she will play dress-up is 0.27; play with blocks, 0.18; and paint, 0.1. a) Construct the probability distribution for this discrete random variable.

b)         What is the Probability a child plays with a computer or paint

(Problem 7)     The county highway department recorded the following probabilities for the number of accidents per day on a certain freeway for one month. The number of accidents per day and their corresponding probabilities are shown. Find the mean, variance, and standard deviation.

Can you make sure I answered it correctly

Given:

Mean: 1.3

Variance= -1.66

SD= 1.29

(a) Find and interpret the expected value of X

(b)Find the variance of X

(c)Find the probability that a person has 1 sibling given that they have less than 3 siblings.

(d)Find the probability that a person has at least 1 sibling OR less than 2 siblings

A sample space has four possible discrete outcomes: S={1,2,3,4} with probabilities 0.1, 0.2, 0.3, 0.4 respectively.
a) Sketch the density function fx(x)
b) Write the equation for the density function
c) Calculate the probability of outcomes between 2 and 3 inclusively
d) Sketch the distribution function Fx(x)
e) Write the equation of the distribution function
f) Use the distribution function to calculate the probability of outcomes between 2 and 3 inclusively (don't forget to use the next lower outcome for the lower limit)

Lon Timur is an accounting major at a midwestern state university located approximately 60 miles from a major city. Many of the students attending the university are from the metropolitan area and visit their homes regularly on the weekends. Lon, an entrepreneur at heart, realizes that few good commuting alternatives are available for students doing weekend travel. He believes that a weekend commuting service could be organized and run profitably from several suburban and downtown shopping mall locations. Lon has gathered the following investment information.

Click here to view PV table.

(a)

Determine the annual (1) net income and (2) net annual cash flows for the commuter service. (Round answers to 0 decimal places, e.g. 125.)

(b)

Compute (1) the cash payback period and (2) the annual rate of return. (Round answers to 2 decimal places, e.g. 10.50.)

(c)

Compute the net present value of the commuter service. (Round answer to 0 decimal places, e.g. 125. If the net present value is negative, use either a negative sign preceding the number eg -45 or parentheses eg (45). For calculation purposes, use 5 decimal places as displayed in the factor table provided.)

My friend drives a 2010 Nissan Altima with ≈ 105,500 miles. Assuming he could drive this car for up to 5 more years and then sell, calculate the equivalent uniform annual cost of ownership over the next 5 years.

Specific Instructions:

1. Estimate 6 costs of ownership over the next 5 years. He knows his car is aging, so at least two of your cash flows need to be gradient cash flows. Explain each of your estimates (e.g. if you estimate a salvage value, explain why). There are many sources of information about costs for cars (library, internet, local mechanics,. . . ). The more specific your information is to this car, the better.

2. Compute his EUAC, showing work.

3. Now incorporate uncertainty into two of your estimates (each with three or more outcomes). Again, explain your estimates. Compute the expected value and standard deviation of EUAC.

4. Perform sensitivity analysis on 2 project parameters (different from the parameters used in part 3) which do not affect total EUAC linearly. Support your explanation of the sensitivity.

5. Identify one replacement options and calculate the same set of costs of ownership for that car.

6. Determine if and when you would recommend him to replace his car.

3-part question based on this data:

a) Draw a scatterplot of Distance vs. Year (using the untransformed data) with the least-squares regression line. Does the line seem to model the relationship well?

b) Do a linear regression for Distance vs. ln(Year), Ln(Distance) vs. Year, Ln(Distance) vs. Ln(Year)

c) Which transformation yields the highest correlation coefficient (Pearson's r)? Sketch a scatterplot of this transformation and show the least-squares line. What is the value of r and r² for that transformation, and what regression equation does it yield?

The following stem-and-leaf diagram gives the distances (in thousands of
miles) driven during the past year by a sample of 15 drivers.
0 3 6 9
1 2 8 5 1 0 5
2 5 1 6
3 8
4 1
5
6 2
(a) (1 point) Rank the data on a single line.
(b) (1 point) Compute the mode.
(c) (2 points) Compute the first and third quartiles.
(d) (1 point) Compute the interquartile range.
(e) (2 points) Compute the lower and upper inner fences.
(f) (3 points) Compute the 83rd percentile.