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Chapter 8: Q. 9.100 (page 389)

Fill in the following blanks.
a. Thet-test is..................... to moderate violations of the normality assumption.
b. The t-test can sometimes be unduly affected by outliers because the sample mean and sample standard deviation are not................................. to outliers.

Short Answer

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Part (a) Robust

Part (b) Resistant

Step by step solution

01

Part (a) Step 1. Given information

The t-test is..................... to moderate violations of the normality assumption.

02

Part (b) Step 2. fill in the blank

The t-test is robust to moderate violations of the normality assumption.

03

Part (b) Step 1. Given information

The t-test can sometimes be unduly affected by outliers because the sample mean and sample standard deviation are not................................. to outliers.
04

Part (b) Step 2. Fill the blank 

The t-test can sometimes be unduly affected by outliers because the sample mean and sample standard deviation are not resistant to outliers.

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Most popular questions from this chapter

Calculating Power Consider a hypothesis test of the claim that the Ericsson method of gender selection is effective in increasing the likelihood of having a baby girl, so that the claim is p>0.5. Assume that a significance level of 伪= 0.05 is used, and the sample is a simple random sample of size n = 64.

a. Assuming that the true population proportion is 0.65, find the power of the test, which is the probability of rejecting the null hypothesis when it is false. (Hint: With a 0.05 significance level, the critical value is z = 1.645, so any test statistic in the right tail of the accompanying top graph is in the rejection region where the claim is supported. Find the sample proportion in the top graph, and use it to find the power shown in the bottom graph.)

b. Explain why the green-shaded region of the bottom graph represents the power of the test.

Finding P-values. In Exercises 5鈥�8, either use technology to find the P-value or use Table A-3 to find a range of values for the P-value.

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t =-1.625 .

Final Conclusions. In Exercises 25鈥�28, use a significance level of = 0.05 and use the given information for the following:

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b. Without using technical terms or symbols, state a final conclusion that addresses the original claim.

Original claim: Fewer than 90% of adults have a cell phone. The hypothesis test results in a P-value of 0.0003.

Testing Claims About Proportions. In Exercises 9鈥�32, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the normal distribution as an approximation to the binomial distribution, as described in Part 1 of this section.

OxyContin The drug OxyContin (oxycodone) is used to treat pain, but it is dangerous because it is addictive and can be lethal. In clinical trials, 227 subjects were treated with OxyContin and 52 of them developed nausea (based on data from Purdue Pharma L.P.). Use a 0.05 significance level to test the claim that more than 20% of OxyContin users develop nausea. Does the rate of nausea appear to be too high?

In Exercises 1鈥�4, use these results from a USA Today survey in which 510 people chose to respond to this question that was posted on the USA Today website: 鈥淪hould Americans replace passwords with biometric security (fingerprints, etc)?鈥� Among the respondents, 53% said 鈥測es.鈥� We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security.

Null and Alternative Hypotheses Identify the null hypothesis and alternative hypothesis.
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