This is a random sample since it was created using a random number generator.
7.
If you are doing this remotely, you may skip this step. Otherwise, bring your results up to Prof H. Specifically, I
need your answers to #2 and #5.
8.
Suppose I didn’t have a random number generator and I was given the sheet of Jellyblubbers. To randomly pick
10 Jellyblubbers I blindly placed my finger somewhere on the sheet. If I landed on a Jellyblubber I recorded the
Jellyblubber number and length.
If I did not land on a Jellyblubber I did not record anything.
I repeat this
process until my finger has successfully landed on a Jellyblubber 10 times. Would you consider this a simple
random sample? Why or why not?
This wouldn’t be a random sample because the larger jellyblubbers have a higher probability of a finger landing
on them due to their large area compared to the smaller ones. This means that the smaller jellyblubbers would
have a disproportionate disadvantage compared to the larger ones in being chosen.
9.
Identify the following for this survey.
Population:___100____________________
Individual: 88, 39, 32, 79, 33, 10, 23, 3, 8, 93
Sample:________10__________________
10.
Record the mean of all of the values on the board for both C.S. and R.S. C.S. stands for convenience sample, R.S.
stands for random sample.
__23.7________
___19.1_______
𝑥
𝐶?
(
) =
𝑥
??
(
) =
11.
The true mean length of all Jellyblubbers is 19.4 mm. Which value above is closer? Should our estimates be
exact? Why or why not? What could we do to get closer to the exact value?
The random sample is closer to the true mean length. The estimates aren’t expected to be exact due to sampling
variability.To get closer to the exact value we could increase the sample size.
12.
Look at the distribution of values for each sample that is greater than (highlighted) and less than 19.4 (the
population mean). What do you notice about the sample means for the convenience samples? Why do you
suppose that is that way?
This means that the sample means for the convenience samples is likely to be higher than 19.4. The large
jellyblubbers are easier to notice than the smaller ones meaning they could be overlooked when choosing a
random sample by hand. This could lead to a higher length chosen due to more large jellyblubbers being
chosen.