Listed on the next page are the 27 Nationwide Insurance...

Listed on the next page are the 27 Nationwide Insurance agents in the Toledo, Ohio, metropolitan area. We would like to estimate the mean number of years agents are employed with Nationwide. a. We want to select a random sample of four agents. The random numbers are: 02,59,51 , $25,14,29,77,69,$ and $18 .$ Which dealers would be included in the sample? b. Use the table of random numbers to select your own sample of four agents. c. Use EXCEL to select a simple random sample of 10 dealers. You must enter the ID numbers $(00$ through 26$) .$ See page 243 for instructions. d. A sample is to consist of every seventh dealer. The number 04 is selected as the starting point. Which agents will be included in the sample?

Listed on the next page are the 27 Nationwide Insurance agents in the Toledo, Ohio, metropolitan area. We would like to estimate the mean number of years agents are employed with Nationwide.
a. We want to select a random sample of four agents. The random numbers are: 02,59,51 , $25,14,29,77,69,$ and $18 .$ Which dealers would be included in the sample?
b. Use the table of random numbers to select your own sample of four agents.
c. Use EXCEL to select a simple random sample of 10 dealers. You must enter the ID numbers $(00$ through 26$) .$ See page 243 for instructions.
d. A sample is to consist of every seventh dealer. The number 04 is selected as the starting point. Which agents will be included in the sample?

Key Concepts

Sampling Frame

A sampling frame is a complete list of all elements in the population from which a sample is drawn. It provides the structure necessary to conduct random sampling and ensures that every potential subject can be identified and quantified, facilitating the proper application of sampling techniques.

Random Number Generation in Excel

Random number generation in Excel is a modern tool used to perform simple random sampling electronically. By using functions like RAND or RANDBETWEEN, Excel can generate pseudo-random numbers which help in selecting random samples quickly and efficiently, providing a user-friendly alternative to traditional random number tables.

Systematic Sampling

Systematic sampling involves selecting every kth member from a list or a sequence after choosing a random starting point. This method simplifies the sampling process while preserving randomness and is particularly useful when dealing with ordered or evenly distributed populations.

Simple Random Sampling

Simple random sampling is a fundamental statistical method where each member of the population has an equal chance of being selected in the sample. This approach eliminates bias by ensuring that every possible sample of a given size is equally likely, which is crucial for making valid inferences about the population.

Random Number Tables

Random number tables are a resource often used in simple random sampling to ensure unbiased selection. They provide a sequence of digits that are statistically independent and uniformly distributed, making them useful for selecting samples from a list by matching numbers with pre-assigned identifiers.

Transcript

0:00 All right.

00:01 So we have 27 insurance agents from el paso, texas, and their number is 0 to 26.

00:08 I'm going to estimate the mean number of years, so we need to select them randomly.

00:12 And the random number is selected were listed here, and which divs be included in the sample.

00:21 And how many did we need? four.

00:23 We need four agents.

00:24 So we'll take number two.

00:27 No, there's no 59, so we'll skip that.

00:30 51.

00:30 Nope, 25.

00:31 We got that.

00:31 25 is down here somewhere there it is wood tom we have denker brett i'm assuming that's last name so brett denker and then tom wood that makes no sense there the 14th one keith keither keiser kaiser the 29th one we don't have a 29 707 no 16 no 18 yes and there we go harvey priest those are our four sampled agents using random number tables select your own sample of four agents.

01:11 There's no hard and fast way to do this.

01:13 You can do whatever you want.

01:15 It doesn't matter.

01:16 Whatever you do, you have to be consistent.

01:18 So for example, i'm going to pick.

01:19 Right now it's 855 and starting with the eighth row.

01:29 One, two, three, four, five, six, seven, eight.

01:31 I'm going to pick every fifth number.

01:38 You can do whatever you want.

01:39 I'm going to say five because it's right there.

01:40 So starting with that one, we're going to go by five.

01:43 So one, two, three, four, five...