You want to compare the numbers of hours spent on homework each week by male and female students in your state. You take a random sample of $15$ male students and $15$ female students throughout the state.
Are the samples likely to be representative of all male and female students in your state? Explain

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Solution

Data of Male students $= 1.5 3 0 2.5 1 8 2.5 1 3 0 6.5 1 5 0 5$
Data of Female students $= 4 0 3 1 1 5 1 3 5.5 10 2 0 6 3.5 2$
Yes, the samples likely to be representative of all male and female students in your state because they are randomly selected students all over the state.
Final Answer: Yes, the samples likely to be representative of all male and female students in your state because they are randomly selected students all over the state.

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Similar questions

You want to compare the numbers of hours spent on recreation each week by teachers and non-teachers in your state. You take $100$ random samples of $15$ teachers and $100$ random samples of $15$ non-teachers throughout the state and record the median value of each sample. The double box-and-whisker plot shows the distributions of sample medians.

Are the samples likely to be representative of all teachers and non-teachers in your state?
What can you conclude from the double box-and-whisker plot? Explain.

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You want to compare the numbers of hours spent on homework each week by male and female students in your state. You take a random sample of 15 male students and 15 female students throughout the state.Are the samples likely to be representative of all male and female students in your state? Explain