4. Suppose you survey 10 families about the number of cars in their garage and obtain the following sample: y= (0,1,2,1,

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4 Suppose You Survey 10 Families About The Number Of Cars In Their Garage And Obtain The Following Sample Y 0 1 2 1 1 (69.2 KiB) Viewed 93 times

4. Suppose you survey 10 families about the number of cars in their garage and obtain the following sample: y= (0,1,2,1,2,2,3,3,3,1) (a) What is the sample mean number of cars, i.e. T? (b) Why might the sample mean, our estimate of the population mean, be larger than the population mean? (c) What is the sample standard deviation, i.e. sy? 2 (d) Construct a 95% confidence interval for the true (population) mean. Does it include the true population mean? (e) Construct a 99% confidence interval for the true (population) mean. Does it include the true population mean? (f) Suppose someone hypothesizes that the true (population) mean is 0.5. Conduct a two- tailed formal hypothesis to reject or fail to reject this null hypothesis at the 5 percent level and 1 percent level.