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Chapter 8: Q 82. (page 544)
You have an SRS of observations from a large population. The distribution of sample values is roughly symmetric with no outliers. What critical value would you use to obtain a confidence interval for the mean of the population?
a.
b.
c.
d.
e.
Option (e) is correct.
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Willows in Yellowstone Writers in some fields summarize data by giving x ̄ and its
standard error rather than .Biologists studying willow plants in Yellowstone National Park reported their results in a table with columns labeled The table entry for the heights of willow plants (in centimeters) in one region of the park was . The researchers measured a total of plants.
a. Find the sample standard deviation for these measurements.
b. A hasty reader believes that the interval given in the table is a confidence interval for the mean height of willow plants in this region of the park. Find the actual confidence level for the given interval.
Check whether each of the conditions is met for calculating a confidence interval for the population proportion
Salty chips A quality control inspector takes a random sample of bags of potato chips from the thousands of bags filled in an hour. Of the bags selected, had too much salt.
In preparing to construct a one-sample t interval for a population mean, suppose we are not sure if the population distribution is Normal. In which of the following circumstances would we not be safe constructing the interval based on an SRS of sizefrom the population?
a. A stemplot of the data is roughly bell-shaped.
b. A histogram of the data shows slight skewness.
c. A boxplot shows that the values above the median are much more variable than the values below the median.
d. The sample standard deviation is large.
e. The sample standard deviation is small.
Reporting cheating What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of undergraduates at a large university: “You witness two students cheating on a quiz. Do you go to the professor?”
Election polling Gloria Chavez and Ronald Flynn are the candidates for mayor in a large city. We want to estimate the proportion p of all registered voters in the city who plan to vote for Chavez with confidence and a margin of error no greater than . How large a random sample do we need?
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