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Ashley and Deon want to find the mean number of movies students in their class saw last year. So they each randomly select students in their class and ask for the numbers.The results are shown below. Use the data to answer the questions.Ashley's sample:9, 16, 19, 8, 20Deon's sample:7, 8, 17, 11, 16, 12, 10, 9(a) What is the sample size for Ashley's sample?(b) What is the sample size for Deon'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?Ashley's sampleDeon's sampleWhy?It has the smaller sample size.It has the larger sample size.It has the smaller mean.It has the larger mean.

Question

Ashley and Deon want to find the mean number of movies students in their class saw last year. So they each randomly select students in their class and ask for the numbers.The results are shown below. Use the data to answer the questions.Ashley's sample:9, 16, 19, 8, 20Deon's sample:7, 8, 17, 11, 16, 12, 10, 9(a) What is the sample size for Ashley's sample?(b) What is the sample size for Deon'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?Ashley's sampleDeon's sampleWhy?It has the smaller sample size.It has the larger sample size.It has the smaller mean.It has the larger mean.

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Solution

(a) The sample size for Ashley's sample is 5. This is because there are 5 numbers in Ashley's sample.

(b) The sample size for Deon's sample is 8. This is because there are 8 numbers in Deon's sample.

(c) Deon's sample is more likely to give a good estimate of the mean. This is because it has the larger sample size. The larger the sample size, the more likely it is to be representative of the population, and therefore provide a good estimate of the mean.

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