Construct con?dence interval

Assignment Help Basic Statistics

Reference no: EM13965261

1. Let the random variables X1 and X2 follow binomial distributions that have parameters n1 = 100, n2 = 75, Let x1 = 35 and x2 = 27 be observed values of X1 and X2. Let p1 and p2 be the true proportions. Determine an appropriate 95% con?dence interval for p1 - p2.

2. The following information is obtained from two independent samples selected from two populations.

n1 = 40 x1 = 28.4 s1 = 4.1
n2 = 32 x2 = 25.6 s2 = 4.5

(a) What is the maximum likelihood estimator of μ1 - μ2?

(b) Construct a 99% con?dence interval for μ1 - μ2.

Reference no: EM13965261

Questions Cloud

What is the magnification of the lens combination : An object is placed 30 cm to the left of a converging lens of focal length 15 cm, and a diverging lens of focal length 20 cm is placed 45 cm to the right of the first lens. How far from the original object is the final image? What is the magnifica..

Draw and solve the cash flow diagram for annual value : Draw and solve the Cash Flow Diagram for Annual Value "A". This is a 10 year Cash Flow, and interest rate is a compounded 7%).

Con?dence interval for difference in two population means : Suppose these means were based on a random sample of 100 homes in 1997 and 150 homes in 1998 and that the sample standard deviations of sale prices were $21,000 for 2000 and $23,000 for 2001. Find a 98% con?dence interval for the difference in the ..

Levels of well-nourished and undernourished : In order to compare the mean hemoglobin (Hb) levels of well-nourished and undernourished groups of children, random samples from each of these groups yielded the following summary.

Construct con?dence interval : What is the maximum likelihood estimator of μ1 - μ2? Construct a 99% con?dence interval for μ1 - μ2.

Difference between the population mean salaries : Construct a 90% con?dence interval for the difference between the population mean salaries. Assume that the salaries of male and female professors are both normally distributed with equal standard deviations. Interpret the result.

What is the return on your portfolio : A company has a capital structure of 40% debt and 60% equity. The YTM on the company's bonds is 9%, and the company's effective tax rate is 40%. The CFO has estimated the company's WACC to be 9.96%. What is the company's cost of equity? Show your ..

Describing a human service position in detail : 1.What do you believe a typical day might look like in this position? 2.What funding supports most agencies serving this population? What resources are available to clients, as well as those serving this population?

Differences between hard disk and compact disk : Give five differences between hard disk and compact disk (CD) as media to store data. Why are gaps required when a data structure is set up on a floppy disk during formatting?

User Account

All Pages