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Chapter 7: Q AP2.13. (page 490)
The country with a literacy rate of is closest to which of the following
percentiles?
a.
b.
c.
d.
e. There is not enough information to calculate the percentile.
The correct option is (a)
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Finch beaks One dimension of bird beaks is "depth"-the height of the beak where it arises from the bird's head. During a research study on one island in the Galapagos archipelago, the beak depth of all Medium Ground Finches on the island was found to be Normally distributed with mean and standard deviation
a. Choose an SRS of 5 Medium Ground Finches from this population. Describe the sampling distribution of
b. Find the probability that estimates within . (This is the probability that takes a value between 9 and 10 mm.
c. Choose an SRS of 50 Medium Ground Finches from this population. Now what is the probability that falls within of ? In what sense is the larger sample "better"?
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.
Predict the election A polling organization plans to ask a random sample of likely voters who they plan to vote for in an upcoming election. The researchers will report the sample proportion that favors the incumbent as an estimate of the population proportion that favors the incumbent. Explain to someone who knows little about statistics what it means to say that is an unbiased estimator of .
Records from a dairy farm yielded the following information on the number of male and female calves born at various times of the day.
What is the probability that a randomly selected calf was born in the night or was a female?
a.
b.
C.
d.
e
The distribution of grade point average for students at a large high school is skewed to the left with a mean of 3.53 and a standard deviation of 1.02.
a. Describe the shape of the sampling distribution of x炉 for SRSs of size n = 4 from the population of students at this high school. Justify your answer.
b. Describe the shape of the sampling distribution of x炉 for SRSs of size n = 50 from the Page Number: 480 population of students at this high school. Justify your answer.
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