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Chapter 8: Q.30 (page 496)

Whelks and mussels The small round holes you often see in sea shells 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. Only 9of98whelks drilled into a mussel. The researchers want to estimate the proportion p of Oregon whelks that will spontaneously drill into mussels.

Short Answer

Expert verified

All three conditions for confidence interval is not satisfied.

Step by step solution

01

Step-1 Given Information 

Given in the question that ,

Number of success=9The researchers want to estimate the proportion pof Oregon whelks that will spontaneously drill into mussels.

02

Step-2 Explanation

To calculate a confidence interval three conditions should be satisfied. The conditions are Random, Independent and Normal.

The condition of random is unknown in the description. Thus, random is not satisfied.

Since the sample size is less than 10%of the population size thus the condition of independent is satisfied.

The survey results the number of success is 9is less than 10thus condition of normal is not satisfied.

Hence, all three conditions for confidence interval is not satisfied.

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Most popular questions from this chapter

True or false: The interval from 2.84to 7.55has a 95%chance of containing the actual population standard deviation S. Justify your answer.

Do you go to church? The Gallup Poll plans to ask a random sample of adults whether they attended a religious service in the last 7days. How large a sample would be required to obtain a margin of error of 0.01ina99%confidence interval for the population proportion who would say that they attended a religious service? Show your work.

- Construct and interpret a confidence interval for a population proportion.

- Explain how practical issues like nonresponse, under coverage, and response bias can affect the interpretation of a confidence interval.

Teens" online profiles Describe a possible source of error that is not included in the margin of error for the 95% confidence interval in Exercise 36

Interpret the confidence level.

Breast-feeding mothers secrete calcium into their milk. Some of the calcium may come from their bones, so mothers may lose bone mineral. Researchers measured the percent change in bone mineral content (BMC) of the spines of 47randomly selected mothers during three months of breastfeeding. The mean change in BMC was -3.587%and the standard deviation was 2.506%.

(a) Construct and interpret a 99%confidence interval to estimate the mean percent change in BMC in the population.

(b) Based on your interval from (a), do these data give good evidence that on average nursing mothers lose bone mineral? Explain.
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