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Whelks and mussels The small round holes you often see in seashells were drilled by other sea creatures, who ate the former dwellers of the shells. Whelks often drill into mussels, but this behavior appears to be more or less common in different locations. Researchers collected whelk eggs from the coast of Oregon, raised the whelks in the laboratory, then put each whelk in a container with some delicious mussels. Only9 of 98 whelks drilled into a mussel.

Short Answer

Expert verified

The conditions which are not satisfied are random sample and large count.

Step by step solution

01

Given Information

It is given that n=98

The population is of all whelks.

02

Explanation

  • Selection of whelk eggs is done from coast of Oregon. Hence, whelk does not represent all whelk eggs which is not random sample. Condition of random sample is not met.
  • 98whelks is less than10% of all the whelks. Condition is satisfied.
  • Number of success is 9<10and failures are 98-9=8910. Hence condition success and failure should be 10is not satisfied.

Therefore, condition for confidence interval is not met.

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Most popular questions from this chapter

Most people can roll their tongues, but many can’t. The ability to roll the tongue is

genetically determined. Suppose we are interested in determining what proportion of students can roll their tongues. We test a simple random sample of 400students and find that 317can roll their tongues. The margin of error for a 95%confidence interval for the true proportion of tongue rollers among students is closest to which of the following?

a. 0.0008

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t time When constructing confidence intervals for a population mean, we almost always use critical values from a t distribution rather than the standard Normal distribution.

a. When is it necessary to use a t critical value rather than a z critical value when constructing a confidence interval for a population means?

b. For a particular level of confidence, explain what happens to the t critical values as Page Number: 548 the degrees of freedom increase.

More income The 2015American Community Survey estimated the median household income for each state. According to ACS, the 90%confidence interval for the 2015

median household income in New Jersey is \(72,222±\)610.

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b. zrequires that you know the population standard deviation σ.

c. z requires that you can regard your data as an SRS from the population.

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e. a z critical value will lead to a wider interval than a t critical value.

You want to compute a 90%confidence interval for the mean of a population with an unknown population standard deviation. The sample size is 30. What critical value should you use for this interval?

a. 1.645

b. 1.699

c. 1.697

d. 1.96

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