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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¯-ta2,n-1×sn<μ<x¯+ta2,n-1×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

Rating school food Latoya wants to estimate the proportion of the seniors

at her boarding school who like the cafeteria food. She interviews an SRS of 50of the 175 seniors and finds that 14 think the cafeteria food is good.

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

a. 90±21

b. 90±30

c. 90±39

d. 90±70

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

September 11 A recent study asked U.S. adults to name 10historic events that occurred in their lifetime that have had the greatest impact on the country. The most frequently chosen answer was the September 11,2001, terrorist attacks, which was included by 76%of the 2025randomly selected U.S. adults. Construct and interpret a 95%confidence interval for the proportion of all U.S. adults who would include the 9/11attacks on their list of 10historic events.

Refer to Exercise 55. Suppose that Gallup wanted to cut the margin of error in half from 3percentage points to 1.5percentage points. How should they adjust their sample size?

a. Multiply the sample size by 4.

b. Multiply the sample size by 2.

c. Multiply the sample size by 1/2.

d. Multiply the sample size by 1/4.

e. There is not enough information to answer this question.

Critical values What critical value t*from Table B should be used for a confidence interval for the population mean in each of the following situations?

a. A 90% confidence interval based on n=12 randomly selected observations

b. A 95% confidence interval from an SRS of 30 observations

c. A 99% confidence interval based on a random sample of size 58
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