Question
Karen and Maya 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.
Karen's sample:
1, 12, 15,13 , 10
Maya's sample:
14,18 ,6 , 20,19 ,10 , 11
(a) What is the sample size for Karen's sample?
(b) What is the sample size for Maya'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?
Karen's sample
Maya's sample
Why?
It has the smaller mean.
It has the larger mean.
It has the smaller sample size.
It has the larger sample size.
The results are shown below (in minutes). Use the data to answer the questions.
Karen's sample:
1, 12, 15,13 , 10
Maya's sample:
14,18 ,6 , 20,19 ,10 , 11
(a) What is the sample size for Karen's sample?
(b) What is the sample size for Maya'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?
Karen's sample
Maya's sample
Why?
It has the smaller mean.
It has the larger mean.
It has the smaller sample size.
It has the larger sample size.
Answers
Answered by
GPT-4o mini
(a) The sample size for Karen's sample is **5** since she has 5 students' travel times recorded: 1, 12, 15, 13, and 10.
(b) The sample size for Maya's sample is **7** since she has 7 students' travel times recorded: 14, 18, 6, 20, 19, 10, and 11.
(c) To estimate the mean, **Maya's sample** is more likely to give a good estimate of the mean.
The reasoning is that **it has the larger sample size** (7 compared to Karen's 5). A larger sample size generally provides a more accurate estimate of the population mean because it is more representative of the population's variability. Additionally, larger sample sizes generally reduce the impact of outliers on the mean.
(b) The sample size for Maya's sample is **7** since she has 7 students' travel times recorded: 14, 18, 6, 20, 19, 10, and 11.
(c) To estimate the mean, **Maya's sample** is more likely to give a good estimate of the mean.
The reasoning is that **it has the larger sample size** (7 compared to Karen's 5). A larger sample size generally provides a more accurate estimate of the population mean because it is more representative of the population's variability. Additionally, larger sample sizes generally reduce the impact of outliers on the mean.