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How confident? The figure shows the result of taking 25SRSs from a Normal population and constructing a confidence interval for the population mean using each sample. Which confidence level—80%,90%,95%,or99%—do you think was used? Explain your reasoning.

Short Answer

Expert verified

Confidence Level of99%is used.

Step by step solution

01

Given Information

We are given that

02

Determining Confidence Level Used

Confidence Level is calculated as 2525=1

100%

  • Red line implies those sample means which have no true population mean.
  • There are zero samples among given 25samples not containing true proportion.
  • Hence, 25samples from 25samples has true population.
  • The confidence level which is closest is99%

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Most popular questions from this chapter

The weights (in pounds) of three adult males are160,215and195. What is the standard error of the mean for these data?

a. 190

b. 27.84

c. 22.73

d. 16.07

e.13.13

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

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

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More prayer in school Refer to Exercise 5. Interpret the confidence level.

A school of fish Refer to Exercise 74.

a. Explain why it was necessary to inspect a graph of the sample data when checking the Normal/Large Sample condition.

b. According to the packaging, there are supposed to be 330goldfish in each bag of crackers. Based on the interval, is there convincing evidence that the average number of goldfish is less than 330? Explain your answer.

Many television viewers express doubts about the validity of certain commercials. In an attempt to answer their critics, Timex Group USA wishes to estimate the true proportion p of all consumers who believe what is shown in Timex television commercials. What is the smallest number of consumers that Timex can survey to guarantee a margin of error of 0.05or less at a 99%confidence level?

a. 550

b. 600

c. 650

d. 700

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