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Chapter 9: Q. 28 (page 538)

You are performing a hypothesis test of a single population mean using a Student鈥檚 t-distribution. The data are not from a simple random sample. Can you accurately perform the hypothesis test?

Short Answer

Expert verified

No, we cannot accurately perform hypothesis test because the knowledge aren't from a easy random sample.

Step by step solution

01

Uses of Hypothesis testing.

The main thing of statistics is to prove or disprove a theory. As an example, you'd possibly conduct research and see that a particular medicine is beneficial within the treatment of headaches. Nobody will believe your findings if you cannot repeat the experiment.

02

Single population mean

The fact that the sample means follow an approximately distribution is employed to calculate a confidence interval for a population mean with a known standard variance.

03

Evaluate the question.

No, we won't be ready to do an accurate hypothesis test because the knowledge isn't from a random sample.

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Most popular questions from this chapter

It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per night, on average. A survey of 22 LTCC Intermediate Algebra students generated a mean of 7.24 hours with a standard deviation of 1.93 hours. At a level of significance of 5%, do LTCC Intermediate Algebra students get less than

seven hours of sleep per night, on average?

The TypeIIerror is not to reject that the mean number of hours of sleep LTCC students get per night is at least seven when,

in fact, the mean number of hours

a. is more than seven hours.

b. is at most seven hours.

c. is at least seven hours.

d. is less than seven hours.

A population has a mean is 25 and a standard deviation of five. The sample mean is 24, and the sample size is 108. What distribution should you use to perform a hypothesis test?

Assume H0:p=0.25 and Ha:p鈮�0.25. Is this a left-tailed, right-tailed, or two-tailed test?

For Americans using library services, the American Library Association claims that at most 67% of patrons borrow books. The library director in Owensboro, Kentucky feels this is not true, so she asked a local college statistic class to conduct a survey. The class randomly selected 100 patrons and found that 82borrowed books. Did the class demonstrate that the percentage was higher in Owensboro, KY? Use 伪=0.01 level of significance. What is the possible proportion of patrons that do borrow books from the Owensboro Library?

A microbiologist is testing a water sample for E-coli. Suppose the null hypothesis, H0, is: the sample contains E-coli. Which is the error with the greater consequence?
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