Question: A population was divided into three strata with N1 = 300, with N2 = 600, and with N3 = 500. From a past survey, the

A population was divided into three strata with N1 = 300, with N2 = 600, and with N3 = 500. From a past survey, the following estimates for the standard deviations in the three strata are available: s1 = 150, s2 = 75, s3 = 100.
a. Suppose an estimate of the population mean with a bound on the error of estimate of B = 20 is required. How large must the sample be? How many elements should be allocated to each stratum?
b. Suppose a bound of B = 10 is desired. How large must the sample be? How many elements should be allocated to each stratum?
c. Suppose an estimate of the population total with a bound of B = 15,000 is requested. How large must the sample be? How many elements should be allocated to each stratum?

Step by Step Solution

★★★★★

3.47 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Rounding up we choose a total sample of 93 b With B 10 the first term in the de... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

995-M-S-N (2941).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Television shows with large amounts of sex or violence tends to attract more viewers. Advertisers want large audiences, but they also want viewers to remember the brand names of their products. A...

A study was conducted to determine whether a relationship existed between certain shareholder characteristics and the level of risk associated with the shareholders' investment portfolios. As part of...

Lydersen and Ryg (1991) used stratification techniques to estimate ringed seal populations in Svalbard fjords. The 200 km2 study area was divided into three zones: Zone 1, outer Sassenfjorden, was...

Exercise 4. Determining the Sample Size and Units in the Sample Test 1: Instructions: Read each problem carefully. Use the appropriate formula and show your step-by-step solution to in solving the...

Describing Data Once we have collected data from surveys or experiments, we need to summarize and present the data in a way that will be meaningful to the reader. We will begin with graphical...

Object 1 WebAssign Welcome, jeremy.guillory@grandcanyon (log out) Friday, November 18 2016 03:11 AM MST Home My Assignments Grades Communication Calendar My eBooks My Ebooks Introduction to the...

1 (1 point) You own a small storefront retail business and are interested in determining the average amount of money a typical customer spends per visit to your store. You take a random sample over...

Expand Your Knowledge: Stratifi ed Sampling and Students in Sixth Grade This is a technique to break down the variation of a random variable into useful components (called stratum) in order to...

This is a technique to break down the variation of a random variable into useful components (called stratum) in order to decrease experimental variation and increase accuracy of results. It has been...

PowerPoint Assignment for BUS 401: Principles of Finance You have been asked by a manager in your organization to put together a training program explaining Net Present Value (NPV) and Future Value...

The standard deviation of the fuel consumption of a certain automobile is hypothesized to be greater than or equal to 4.3 miles per gallon. A sample of 20 automobiles produced a standard deviation of...

The following information is provided to assist you in evaluating the performance of the production operations of Paramount Company: Units produced (actual) 21,000 Master production budget Direct...

There are important applications in which, due to known scientific constraints, the regression line must go through the origin (i.e., the intercept must be zero). In other words, the model should...

Suppose that the position of a nations long-run aggregate supply curve has not changed, but its long-run equilibrium price level has increased. Which of the following factors might account for this...

The following stem-and-leaf chart shows the number of units produced per day in a factory: a.?How many days were studied?b.?How many observations are in the first class?c.?What are the smallest and...

The following stem-and-leaf chart reports the number of movies rented per day at Video Connection: a.?How many days were studied?b.?How many observations are in the last class?c.?What are the largest...

Alexandra Dawn will be building a new resort in Cape Breton. She must decide how to design the resort based on the type of activities that the resort will offer to its customers. A recent poll of 300...

When answering these questions, assume that Mark pays an annual insurance premium of $785, has a $750 annual deductible, and 80/20 coinsurance clause, and an annual stop-loss of $3,000. For each...

patent costing $48,000 when acquired on January 2 has a remaining legal life of 10 years and is expected to have value for eight years. Description Debit Credit mortization Expense-Patents v 48,000X...

The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 410 grams and a standard deviation of 10 grams. Find the weight that corresponds to each event. (Use...