Question

kareem and ryan want to find the mean time students in their class spent watching tv last week. so they each randomly select students in their class and ask for the times.
the results are shown below (in hours). use the data to answer the questions.
kareems sample:
12, 7, 5, 20, 17, 18
ryans sample:
12, 9, 7, 6, 10
(a) what is the sample size for kareems sample?
(b) what is the sample size for ryans sample?
(c) suppose you had to choose one sample to estimate the mean.
which sample is more likely to give a good estimate of the mean?
kareems sample ryans sample
why?
it has the smaller sample size.
it has the larger sample size.
it has the smaller mean.
it has the larger mean.

Explanation:

Step1: Count the number of data points in Kareem's sample

Kareem's sample has 6 data points: 12, 7, 5, 20, 17, 18.

Step2: Count the number of data points in Ryan's sample

Ryan's sample has 5 data points: 12, 9, 7, 6, 10.

Step3: Recall the concept of sample size and its relation to estimation

In general, a larger sample size (when randomly selected) is more likely to give a good estimate of the population mean as it is more representative.

Answer:

(a) 6
(b) 5
(c) Kareem's sample; It has the larger sample size.