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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 distribution to be used for this test is X¯~________________

a. N(7.24, 1.9322)

b.N(7.24,1.93)

c. t22

d. t21

Short Answer

Expert verified

The correct option is a. N(7.24,1.9322).

Step by step solution

01

Introduction

Perform tests of a population mean using a normal distribution or a Student's t-distribution.

02

Explanation

Here we have the population mean and population standard deviation and so we may do a normal distribution test. When testing a single population proportion use a normal test for a single population proportion if the data comes from a simple, random sample, fill the requirements for a binomial distribution, and the mean number of successes and the mean number of failures satisfy the conditions: np>5 and nq>5 where n is the sample size, p is the probability of success, and q is the probability of a failure.

03

Conclusion

The correct option is a.

Since we have the values of mean and standard deviation we go for a.

When you perform a hypothesis test of a single population mean μ using a normal distribution (often called a z-test), you take a simple random sample from the population.

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Most popular questions from this chapter

If you do not reject the null hypothesis, then it must be true. Is this statement correct? State why or why not in complete sentences.

Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test. At a significance level of a = 0.05, what is the correct conclusion?

a. There is enough evidence to conclude that the mean number of hours is more than 4.75

b. There is enough evidence to conclude that the mean number of hours is more than 4.5

c. There is not enough evidence to conclude that the mean number of hours is more than 4.5

d. There is not enough evidence to conclude that the mean number of hours is more than 4.75

You are performing a hypothesis test of a single population proportion. What must be true about the quantities of np and nq?

Sixty-eight percent of online courses taught at community colleges nationwide were taught by full-time faculty. To test if 68% also represents California’s percent for full-time faculty teaching the online classes, Long Beach City College (LBCC) in California, was randomly selected for comparison. In the same year, 34 of the 44 online courses LBCC offered were taught by full-time faculty. Conduct a hypothesis test to determine if 68% represents California. NOTE: For more accurate results, use more California community colleges and this past year's data.

The power of a test is0.981.What is the probability of a Type II error?

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