A small community college employs 87 full-time faculty...

A small community college employs 87 full-time faculty members. To gain the faculty's opinions about an upcoming building project, the college president wishes to obtain a simple random sample that will consist of 9 faculty members. He numbers the faculty from 1 to 87. (a) Using Table I from Appendix $A$, the president closes his eyes and drops his ink pen on the table. It points to the digit in row $5,$ column $22 .$ Using this position as the starting point and proceeding downward, determine the numbers for the 9 faculty members who will be included in the sample. (b) If the president uses the randInt( feature of a graphing calculator with a seed value of $47,$ determine the numbers for the 9 faculty members who will be included in the sample.

Transcript

00:01 All right, in your question, you're asked to reference a random digit table.

00:05 You would have to do that from your own book to get this to match up exactly because you're using table one from appendix a.

00:13 It says, i don't have access to your table one appendix a, but this is a random digit table, and it would show you the procedure.

00:22 And then we'll follow up and do the calculator procedure as well, which i can help get you the direct answers.

00:29 All right, so what i've done, you were told that the professor dropped his pen on a random digit table, and it pointed to the number in row five.

00:40 So i highlighted row five, and then column 22, i highlighted.

00:46 So what we can see is i'm starting with the number here at the six.

00:50 That's the first number we're looking at.

00:52 So i'm going to get rid of my highlighting and just focus in on that number six.

01:00 As our starting point right there.

01:05 Now, we're trying to choose faculty members.

01:08 There's 87 faculty members.

01:10 The way we would choose them, we would number the faculty members from 0 -0 -0 -1 -2 dot, dot, dot, and so on, up to, you know, 86 and 87.

01:29 We would ignore any numbers that don't match, like 88.

01:35 We want to ignore 90 we want to ignore and so on.

01:39 So i'm going to go through and i'm going to start highlighting numbers.

01:43 It said he proceeded downward.

01:45 So the first number would be 68.

01:52 So our first employee would be 68.

01:55 The next one would be 05.

01:58 The next one would be 57.

02:00 The next one would be 46.

02:03 Next one would be 51.

02:05 Next one would be 40.

02:07 That's six of them so far.

02:11 Then 07 will be the next one.

02:13 That's 7.

02:15 28 would be the next one.

02:17 31 would be the next one.

02:21 And did i get? i think i have nine.

02:24 So i'm going to write down my list.

02:27 But you would want to repeat that procedure using your own random digit table.

02:47 All right.

02:48 So there are my nine employees picked from the random digit table.

02:55 Now i did not run into any cases where i would have had to ignore something.

03:01 But if i looked ahead here, let me highlight this in a different color...

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