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Chapter 9: Q. 53 (page 539)

Draw the graph of a two-tailed test.

Short Answer

Expert verified

The general two-tailed test graph is:

Step by step solution

01

Introduction

In statistics, a two-tailed test is a procedure that uses a two-sided critical area of a distribution to determine if a sample is larger than or less than a certain range of values. It's utilized in statistical significance testing and null hypothesis testing.

02

Explanation

The general graph of a two-tailed test is as follow:

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Most popular questions from this chapter

Your statistics instructor claims that 60percent of the students who take her Elementary Statistics class go through life feeling more enriched. For some reason that she can't quite figure out, most people don't believe her. You decide to check this out on your own. You randomly survey 64of her past Elementary Statistics students and find that 34feel more enriched as a result of her class. Now, what do you think?

Use the following information to answer the next seven exercises: Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 26 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was three years with a standard deviation of 1.8 years. Suppose that it is somehow known that the population standard deviation is 1.5. Conduct a hypothesis test to determine if the mean length of jail time has increased. Assume the distribution of the jail times is approximately normal.

Calculate the following:

a. X炉 _______

b. 蟽 _______

c.Sx _______

d.n_______

The US Department of Energy reported that 51.7% of homes were heated by natural gas. A random sample of 221 homes in Kentucky found that 115 were heated by natural gas. Does the evidence support the claim for Kentucky at the 伪 = 0.05 level in Kentucky? Are the results applicable across the country? Why?

A group of divers is exploring an old sunken ship. Suppose the null hypothesis, H0, is: the sunken ship does not contain buried treasure. State the TypeIand TypeIIerrors in complete sentences.

We want to test if it takes fewer than 45minutes to teach a lesson plan. State the null and alternative hypotheses. Fill in the correct symbol (=,鈮�,鈮�,鈮�,鈮�,>)for the null and alternative hypotheses.

a.H0:渭-45

b.Ha:渭-45
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