Chapter 8: Q 8.17RP. (page 347)
A random sample of size is taken from a population. A normal probability plot of the sample data shows no outliers but has significant curvature. The population standard deviation is unknown.
The confidence interval can neither be obtained from any procedures.
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Positively Selected Genes. R. Nielsen et al. compared annotated genes from humans with their chimpanzee orthologs to identify genes that show evidence of positive selection. The researchers published their findings in "A Scan for Positively Selected Genes in the Genomes of Humans and Chimpanzees" (PLOS Biology, Vol. 3, Issue 6. Pp. 976-985). A simple random sample of tissue types yielded the following number of genes.
Explain the effect on the margin of error and hence the effect on the accuracy of estimating a population mean by a sample mean.
Decreasing the sample size while keeping the same confidence level.
A simple random sample is taken from a population and yields the following data for a variable of the population:
find a point estimate for the population standard deviation (i.e., the standard deviation of the variable).
Smelling Out the Enemy. Snakes deposit chemical trails as they travel through their habitats. These trails are often detected and recognized by lizards, which are potential prey. The ability to recognize their predators via tongue flicks can often mean life or death for lizards. Scientists from the University of Antwerp were interested in quantifying the responses of juveniles of the common lizard to natural predator cues to determine whether the behavior is learned or congenital. Seventeen juvenile common lizards were exposed to the chemical cues of the viper snake. Their responses, in number of tongue flicks per twenty minutes, are presented in the following
Find and interpret a confidence interval for the mean number of tongue flicks per minutes for all juvenile common lizards. Assume a population standard deviation of .
What is meant by saying that a confidence interval is
a. exact?
b. approximately correct?
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