IM 7.8.17 Practice: More about Sampling Variability

One thousand baseball fans were asked how far they would be willing to travel to watch a professional baseball game. From this population, 100 different samples of size 40 were selected. Here is a dot plot showing the mean of each sample.[br][img]data:image/png;base64,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[/img][br][br]Based on the distribution of sample means, what do you think is a reasonable estimate for the mean of the population?
[size=150]Last night, everyone at the school music concert wrote their age on a slip of paper and placed it in a box. Today, each of the students in a math class selected a random sample of size 10 from the box of papers. Here is a dot plot showing their sample means, rounded to the nearest year.[/size][br][br][img]data:image/png;base64,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[/img][br][br]Does the number of dots on the dot plot tell you how many people were at the concert or how many students are in the math class?
The mean age for the population was 35 years. If Elena picks a new sample of size 10 from this population, should she expect her sample mean to be within 1 year of the population mean? Explain your reasoning.
What could Elena do to select a random sample that is more likely to have a sample mean within 1 year of the population mean?
A random sample of people were asked which hand they prefer to write with. “l” means they prefer to use their left hand, and “r” means they prefer to use their right hand. Here are the results:
l r r r r r r r r r l r r r r[br][br]Based on this sample, estimate the proportion of the population that prefers to write with their left hand.
Andre would like to estimate the mean number of books the students at his school read over the summer break. He has a list of the names of all the students at the school, but he doesn’t have time to ask every student how many books they read. [br][br]What should Andre do to estimate the mean number of books?
A hockey team has a 75% chance of winning against the opposing team in each game of a playoff series. To win the series, the team must be the first to win 4 games. Design the spinner for this event.
What counts as a successful outcome in your simulation?
Estimate the probability using your simulation.
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Information: IM 7.8.17 Practice: More about Sampling Variability