Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 9 having a common attribute. The second sample consists of 2000 people with 1440 of them having the same common attribute. Compare the results from a hypothesis test of p 1equalsp 2 ​(with a 0.01 significance​ level) and a 99​% confidence interval estimate of p 1minusp 2.

Identify the test statistic.

Identify the critical​ value(s).

Complete the following ANOVA summary table for a model, where there are three levels of factor A selected by the researcher and two levels of factor B selected at random. Each cell of the design includes 40 students (α = .05).

In statistical language (symbols) what are the most appropriate null and alternative hypothesis for each factor (effect) for the model?

The country tailors use many sewing machines in their clothes line. The general manager wants to know the minimum cost life for these machines. Find this value at an interest rate of 20% per year, if the first cost is $5000 per machine.

Life in years

0

1

2

3

4

5

6

Market value ($)

5000

3000

1500

1000

500

0

0

Estimated AOC ($/year)

----

1000

1500

2000

2500

3000

5000

Joe is interested in driving a new SUV for three years. There are two options—purchasing or leasing. A local car dealer quoted him a leasing deal of $2000 down and $299 a month for 36 months. Alternative he can purchase the vehicle at $22,000 and sell the SUV in 36 months at 60% of the purchase price. Joe would like to get your help in deciding which option is best. Assume that the interest rate is 6% (APR compounded monthly).

The engineers working on the tower were very interested in how
much the tower would lean if no corrective action was taken. Use
the OLS estimation to predict the tower's lean in the year 2000 if
no corrective action had been taken.

A medical stats class is interested in the mean pulse rate of "senior citizens". How many individuals are required to estimate the pulse rate with 99% confidence that the mean is within 2 beats per minute of the population mean. Based on 2000 NIH data, assume a std deviation of 12.5 beats per minute.

b) Recent data suggests the std deviation is closer to 17 bpm. How does a 99% CI with this std deviation compare to (a) above?

The rate of crude oil production from 2008 to 2013 by an oil company can be approximated by ?(?) = 6.2?^2 − 146? + 1910 million barrels per year where ? is time in years since the start of 2000. During that time, the price of oil was approximately ?(?) = 47?^0.046? dollars per barrel. Obtain an expression for the total oil revenue ?(?) from the start 0f 2008 to the start of year ? as a function of ?. You can round all coefficients to three significant digits.

With the estimates shown below, Sarah needs to determine the trade-in (replacement) value of machine X that will render its AW equal to that of machine Y at an interest rate of 11% per year. Determine the replacement value.

The replacement value is $  .

A toy car whose body has a mass of 200 g has four ring-shaped wheels each with a mass of 25 g and a radius of 5 mm. The car is pushed 5 cm into a spring with a spring constant of 2000 N/m, and the car is released. After the car clears the spring, it then travels up a frictionless incline, so that the wheels spin at a constant rate while on the incline. Determine the maximum height that the toy car reaches on the incline.

1. A machine has a 10-year life. It costs $5,000 to install today, and annual maintenance costs in years 1-10 are $500 per year. If the discount rate is 7%, what is the machine's equivalent annual annuity (EAA)?

2. A project requires an initial investment of $20,000 today (i.e. year 0). Expected future cash flows in years 1-4 are $8000; $2000; $3000 and $6000 respectively.

1. If the discount rate is 8%, what is the NPV?

2. What is the IRR?