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Chapter 7: Q. 56 (page 479)
Making auto parts Refer to Exercise 54 . How many axles would you need to sample if you wanted the standard deviation of the sampling distribution of to be ? Justify your answer.
If the sample's standard deviation of the sampling distribution is , the sample should be 16 axles.
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The five-number summary for a data set is given by min = 5, , median = 20, , max = 75. If you wanted to construct a boxplot for the data set that would show outliers, if any existed, what would be the maximum possible length of the right-side 鈥渨hisker鈥�?
a. 33
b. 35
c. 45
d. 53
e. 55
Squirrels and their food supply () Animal species produce more offspring when their supply of food goes up. Some animals appear able to anticipate unusual food abundance. Red squirrels eat seeds from pinecones, a food source that sometimes has very large crops. Researchers collected data on an index of the abundance of pinecones and the average number of offspring per female over years.Computer output from a least-squares regression on these data and a residual plot are shown here
a. Is a linear model appropriate for these data? Explain.
b. Give the equation for the least-squares regression line. Define any variables you use.
c. Interpret the values of and in context.
Which one of the following would be a correct interpretation if you have a z-score of on an exam?
a. It means that you missed two questions on the exam.
b. It means that you got twice as many questions correct as the average student.
c. It means that your grade was 2 points higher than the mean grade on this exam.
d. It means that your grade was in the upper of all grades on this exam.
e. It means that your grade is 2 standard deviations above the mean for this exam.
Birth weights Researchers in Norway analyzed data on the birth weights of 400,000 newborns over a 6-year period. The distribution of birth weights is approximately Normal with a mean of 3668 grams and a standard deviation of 511 grams.
a. Sketch a graph that displays the distribution of birth weights for this population.
b. Sketch a possible graph of the distribution of birth weights for an SRS of size $5 . Calculate the range for this sample.
In this population, the range (Maximum - Minimum) of birth weights is 3417 grams. We technology to take 500 SRSs of size and calculate the range (Maximum Minimum) for each sample. The dotplot shows the results.
Fillings How much do prices vary for filling a cavity? To find out, an insurance company randomly selects dental practices in California and asks for the cash (non-insurance) price for this procedure at each practice. The interquartile range is .
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