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Chapter 8: Q 8.136. (page 344)

Positively Selected Genes. R. Nielsen et al. compared 13.731 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 14 tissue types yielded the following number of genes.

Short Answer

Expert verified

It is not reasonable to apply the t-interval procedure to obtain the confidence interval of the population mean 渭 based on this sample.

Step by step solution

01

Given information

6647431012018393
8212064244517014
02

Explanation

Now, draw a probability plot for the given data.

Now construct a box plot for a given data.

03

Explanation

Now construct the histogram for the given data.

The sample size here is tiny (n=14<15)The box plot and normal probability plot reveal that the sample contains two outliers. Also, because the plotted points do not lie roughly along a straight line, the normal probability plot indicates that the variable under discussion is not normally distributed. As a result, applying the t-interval approach to get the confidence interval of the population mean 渭 based on this sample is not reasonable.

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Most popular questions from this chapter

Batting Averages. An issue of Scientific American revealed that batting averages, xof major-league baseball players are normally

distributed and have a mean of 0.270 and a standard deviation of 0.031 For samples of 20 batting averages, identify the distribution of each variable.

a. x炉-0.2700.031/20

b. x炉-0.270s/20

A variable of a population has a normal distribution. Suppose that you want to find a confidence interval for the population mean.

a. If you know the population standard deviation, which procedure would you use?

b. If you do not know the population standard deviation, which procedure would you use?

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a. t0.10

b. t0.025

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A simple randoes 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 90%confidence interval for the mean number of tongue flicks per 20minutes for all juvenile common lizards. Assume a population standard deviation of 190.0.
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