Ivanna and Kaitlin want to find the mean amount of time it takes students in their class to travel to school. So they each randomly select students in their class and ask for the times.

The results are shown below (in minutes). Use the data to answer the questions.

Ivanna's sample:
, , , , , ,

Kaitlin's sample:
, , , , ,
(a) What is the sample size for Ivanna's sample?

(b) What is the sample size for Kaitlin's 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?

Ivanna's sample
16,9,18,13,6,17,12
Kaitlin's sample
9,14.17,10,8,5
Why?

It has the smaller mean.

It has the larger mean.

It has the smaller sample size.

It has the larger sample size.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 days ago

Let's go through the questions one by one.

(a) What is the sample size for Ivanna's sample?

Ivanna's sample consists of the times: 16, 9, 18, 13, 6, 17, 12.

To calculate the sample size, we simply count the number of data points in her sample:

  • Sample size for Ivanna = 7 (there are 7 times listed)

(b) What is the sample size for Kaitlin's sample?

Kaitlin's sample consists of the times: 9, 14, 17, 10, 8, 5.

Counting the number of data points in her sample:

  • Sample size for Kaitlin = 6 (there are 6 times listed)

(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?

Comparison:

  • Ivanna's sample size is 7.
  • Kaitlin's sample size is 6.

More data points typically lead to a better estimate of the mean because larger samples tend to provide a more accurate reflection of the population being studied.

Therefore, in this case, since Ivanna's sample has a larger sample size (7), it is more likely to give a good estimate of the mean.

Answer: It has the larger sample size.