Question

e results are shown below (in hours). use the data to answer the questions.
rafaels sample:
15, 13, 20, 18
lamars sample:
17, 16, 9, 18, 11, 5, 8
(a) what is the sample size for rafaels sample?

(b) what is the sample size for lamars 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?
○ rafaels sample ○ lamars sample
why?

Explanation:

Part (a)

Step1: Identify Rafael's data points

Rafael's sample: 15, 13, 20, 18. Count the number of values.
There are 4 values.

Step1: Identify Lamar's data points

Lamar's sample: 17, 16, 9, 18, 11, 5, 8. Count the number of values.
There are 7 values.

To estimate the mean, a larger sample size generally provides a better estimate (less sampling error). Lamar's sample has a size of 7, which is larger than Rafael's sample size of 4. So Lamar's sample is more likely to give a good estimate because it has a larger sample size, making it more representative of the population.

Answer:

4

Part (b)