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Chapter 8: Q 74. (page 543)

Catching goldfish for schoolCarly and Maysem plan to be preschool teachers after they graduate from college. To prepare for snack time, they want to know the mean number of goldfish crackers in a bag of original-flavored goldfish. To estimate this value, they randomly selected12 bags of original-flavored goldfish and counted the number of crackers in each bag. Here are their data:

Construct and interpret a 95% confidence interval for the true mean number of crackers in a bag of original- flavored goldfish.

Short Answer

Expert verified

The confidence interval is(326.05,337.28).

Step by step solution

01

Given Information

It is given that data set is:

317,330,325,323,335,337,324,342,330,349,335,333

02

Concept Used

Formula Used is:

x炉-ta2,n-1脳sn<渭<x炉+ta2,n-1脳sn

03

Calculation and Interpretation

  • In MINTAB Sheet, enter data set.
  • Press Stat>Basic Statistics>1-Sample t.
  • Choose samples in Column. Select data.
  • In confidence interval, enter 95%.
  • Press OK.

Confidence Interval is (326.05,337.28)

There is 95%confidence that true mean lies between326.05and337.28.

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Most popular questions from this chapter

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.

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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.

America鈥檚 favorite cookie Ann and Tori wanted to estimate the average weight of an Oreo cookie to determine if it was less than advertised (34 grams for 3 cookies). They selected a random sample of 36cookies and found the weight of each cookie (in grams). The mean weight was x虅=11.3921grams with a standard deviation of sX=0.0817grams. Construct and interpret a 90%confidence interval for the true mean weight of an Oreo cookie.

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a. Interpret the confidence interval.

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