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The best way to gain understanding of a sampling and estimation method is to carry it out on some real population of interest to you. If you are not already involved in such a project professionally, choose a population and set out to estimate the mean or total by taking a simple random sample. Examples include estimating the number of trees on a university campus by conceptually dividing the campus into plots, estimating the number of houses in a geographic area by selecting a simple random sample of blocks, or estimating the mean number of people per vehicle during rush hour. In the process of carrying out the survey and making the estimates, think about or discuss with others the following:
(a) What practical problems arise in establishing a frame, such as a map or list of units, from which to select the sample?
(b) How is the sample selection actually carried out?
(c) What special problems arise in observing the units selected?
(d) Estimate the population mean and total.
(e) Estimate the variance of the estimators used in part (d).
(f) How would you improve the survey procedure if you were to do it again?
A snack company distributes chips in bags labeled 6 ounces. The local Bureau of Weights and Measures randomly selects 50 bags of chips and obtains a sample mean of 5.9 ounces.
Identify at least 2 variables for which you would utilize a repeated-measures ANOVA in your analysis and describe the variables and scale of measurement. Identify whether each factor is fixed or repeating.
The following observations are amounts of hydrocarbon emissions resulting from road wear of bias-belted tires under a 522 kg load inflated at 228 kPa and driven at 64 km/hr for 6 hours ("Characterization of Tire Emissions Using an Indoor Test Fac..
Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles?
Based on long term experience, the standard deviation can be taken to be $2.92. Find a 90% confidence interval for the average amount left by all groups.
If you want to be 95% confidence of estmating the population mean to within a sampling error of +-4 and the standard deviation is assumed to be 10, what sample size is required?
For which of given variables must a "two tail" t-test be applied?
the lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. random
Compare the differences of Simple random sampling & Cluster sampling using specific examples, and show the pros and cons of each method.
Which would be inappropriate, and why. Then identify what you think is the best measure of variability to use for your example and explain why you believe it to be better than the others.
Find the probability that the mean amount of electric bills for a random sample of 75 households selected from this city will be between $132 and $136. Round to 4 decimal places.
A carton of 6 batteries contains 2 that are defective and 4 that are good. If we select 3 batteries at random form this carton, what is the probability that the sample contains exactly 1 defective battery?
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