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Chapter 9: Q.27 (page 538)

You are performing a hypothesis test of a single population mean using a Student鈥檚 t-distribution. What must you assume about the distribution of the data?

Short Answer

Expert verified

The data should follow a normal distribution, according to the assumption.

Step by step solution

01

Given Information

When utilizing Student's t-distribution to run a hypothesis test on a single population mean, some assumptions about data distribution must be made

02

Explanation

The student's t-distribution is used to run a hypothesis test on a single population mean. The t-distribution is applied to normally distributed data. In this situation, regardless of the sample size, the original population should have a normal distribution for employing the t-distribution of the students. The single population mean is presented in this example since there is no standard deviation. As a result, the assumption to be made is that the data is distributed normally.

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Most popular questions from this chapter

A normal distribution has a standard deviation of 1.We want to verify a claim that the mean is greater than12.

A sample of 36is taken with a sample mean of12.5.

H0:渭鈮�12

Ha:渭>12

Thep-value is0.0013.

Draw a graph that shows thep-value.

H0:p=0.5,Ha:p鈮�0.5

Assume the p-value is 0.2564. What type of test is this? Draw the picture of the p-value.

A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening night midnight showing of the latest Harry Potter movie. She surveys 84 of her students and finds that 11 of them attended the midnight showing. At a 1% level of significance, an appropriate conclusion is:

a. There is insufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is less than 20%.

b. There is sufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is more than 20%.

c. There is sufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is less than 20%.

d. There is insufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is at least 20%.

If the alternative hypothesis has a not equals ( 鈮� ) symbol, you know to use which type of test?

The mean entry level salary of an employee at a company is $58,000. You believe it is higher for IT professionals in the company. State the null and alternative hypotheses.
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