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Chapter 8: Q.3.2 (page 511)

What inference method will you use? Check that the conditions for using this procedure are met.

Short Answer

Expert verified

Here, population is normal. Thus, the t-confidence interval could be computed here.

Step by step solution

01

Given information

Given in the question that, Biologists studying the healing of skin wounds measured the rate at which new cells closed a cut made in the skin of an anesthetized newt. Here are data from a random sample of 18 newts, measured in micrometers (millionths of a meter) per hour:

20292734402228143526351230231811222333

02

Explanation

The dataset is

29
27
34
40
22
28
14
35
36
35
12
30
23
18
11
22
23
33

Here, decisions about the mean healing rate are to be computed. Thus, the appropriate method for the inference is the t-interval.

The conditions to compute the T-interval is that either the example size be over 30or the population must be normal. Here, population is normal. Thus, the t-confidence interval could be computed here.

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Most popular questions from this chapter

Use Table B to find the critical value t* that you would use for a confidence interval for a population mean M in each of the following situations. If possible, check your answer with technology.

(a) A 98% confidence interval based on n=22observations.

(b) A 90%confidence interval from an SRS of 10observations.

(c) A 95% confidence interval from a sample of size7.

93% confidence Find z*fora93%confidence interval using Table A or your calculator. Show your method.

Interpret your interval in context.

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measured in milligrams per 100grams (mg/100 g) of blend, for a random sample of size8 from one production run:
2631232211221431
Construct and interpret a95%confidence interval for the mean amount of vitamin C M in the CSB from this production run.

Prayer in school A New York Times/CBS News Poll asked the question, 鈥淒o you favor an amendment to the Constitution that would permit organized prayer in public schools?鈥� Sixty-six percent of the sample answered 鈥淵es.鈥� The article describing the poll says that it 鈥渋s based on telephone interviews conducted from Sept. 13 to Sept. 18 with 1664adults around the United States, excluding Alaska and Hawaii. . . . The telephone numbers were formed by random digits, thus permitting access to both listed and unlisted residential numbers.鈥� The article gives the margin of error for a 95%confidence level as 3percentage points.

(a) Explain what the margin of error means to someone who knows little statistics.

(b) State and interpret the 95% confidence interval.

(c) Interpret the confidence level.
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