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Chapter 8: Q 31. (page 522)

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 25 bags of potato chips from the thousands of bags filled in an hour. Of the bags selected, 3 had too much salt.

Short Answer

Expert verified

The condition which is not met is that of normality.

Step by step solution

01

Given Information

It is given that n=25

Population is thousand of bags of potato.

02

Explanation

  • Condition of Random Selection: As sample is SRS, this condition is satisfied.
  • Less than 10% of population: role="math" localid="1654278677916" 25is less than 10%of population (thousand of population bags)
  • Number of success and failure should be 鈮�10: No of success are 3<10and failure is 25-3=22鈮�10. This condition is not met.

All conditions are not met.

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Most popular questions from this chapter

Willows in Yellowstone Writers in some fields summarize data by giving x 虅 and its

standard error rather than x炉andSX.Biologists studying willow plants in Yellowstone National Park reported their results in a table with columns labeled x炉andSX The table entry for the heights of willow plants (in centimeters) in one region of the park was 61.55卤19.03. The researchers measured a total of 23plants.

a. Find the sample standard deviation sxfor these measurements.

b. A hasty reader believes that the interval given in the table is a 95% confidence interval for the mean height of willow plants in this region of the park. Find the actual confidence level for the given interval.

Got shoes? The class in Exercise 1 wants to estimate the variability in the number of pairs

of shoes that female students have by estimating the population standard deviation 蟽.

Fun size candyA candy bar manufacturer sells a 鈥渇un size鈥� version that is advertised to weigh 17grams. A hungry teacher selected a random sample of 44fun size bars and found a 95%confidence interval for the true mean weight to be 16.945grams to 17.395grams.

a. Does the confidence interval provide convincing evidence that the true mean weight is different than 17grams? Explain your answer.

b. Does the confidence interval provide convincing evidence that the true mean weight is 17grams? Explain your answer.

Check them all Determine if the conditions are met for constructing a confidence interval for the population mean in each of the following settings.

a. How much time do students at your school spend on the Internet? You collect data from the 32members of your AP Statistics class and calculate the mean amount of time that these students spent on the Internet yesterday.

b. Is the real-estate market heating up? To estimate the mean sales price, a realtor in a large city randomly selected 100home sales from the previous 6months in her city. These sales prices are displayed in the boxplot.

A 90%confidence interval for the mean 渭 of a population is computed from a random sample and is found to be90卤30. Which of the following could be the 95%confidence interval based on the same data?

a. 90卤21

b. 90卤30

c. 90卤39

d. 90卤70

e. Without knowing the sample size, any of the above answers could be the 95%confidence interval.
See all solutions

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