Question

3.48 Listen to three rock songs. The walk to your statistics class takes about 10 minutes, about the amount of time needed to listen to three songs on your iPod or smartphone. You decide to take a simple random sample of songs from the top 10 listed on a Billboard Hot Rock songs. Here is the list:

1. Shut Up and Dance

2. Centuries

3. Stressed Out

4. Uma Thurman

5. Cecilia and the Satellite

6. Shots

7. Renegades

8. Tear in My Heart

9. Ex's & Oh's

10. Brother

Select your three hot rock songs using a simple random sample. Show your work.

Answer 1

To create a simple random sample, there are six steps: (a) defining the population; (b) choosing your sample size; (c) listing the population; (d) assigning numbers to the units; (e) finding random numbers; and (f) selecting your sample

Here the population is 10 songs

The sample size is 3

The population (that is list of songs) is given

Each song is assigned a number

As we have to take 3, songs out of 10, this can be done in ways

So we can generate random numbers like 1 3 5, 3 5 6,.....

So the possible samples are

( 1. Shut Up and Dance, 3. Stressed Out. 4. Uma Thurman),

(2. Centuries, 5. Cecilia and the Satellitex 9. Ex's & Oh's)

And so on..