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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

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.

Airport Data Speeds: The claim that for Verizon data speeds at airports, the mean. The sample size is and the test statistic is

t =-1.625 .

Critical Values. In Exercises 21鈥�24, refer to the information in the given exercise and do the following.

a. Find the critical value(s).

b. Using a significance level of = 0.05, should we reject H0or should we fail to reject H0?

Exercise 18

Interpreting Power Chantix (varenicline) tablets are used as an aid to help people stop smoking. In a clinical trial, 129 subjects were treated with Chantix twice a day for 12 weeks, and 16 subjects experienced abdominal pain (based on data from Pfizer, Inc.). If someone claims that more than 8% of Chantix users experience abdominal pain, that claim is supported with a hypothesis test conducted with a 0.05 significance level. Using 0.18 as an alternative value of p, the power of the test is 0.96. Interpret this value of the power of the test.

True/False Characterize each of the following statements as being true or false.

a. In a hypothesis test, a very high P-value indicates strong support of the alternative hypothesis.

b. The Student t distribution can be used to test a claim about a population mean whenever the sample data are randomly selected from a normally distributed population.

c. When using a x2 distribution to test a claim about a population standard deviation, there is a very loose requirement that the sample data are from a population having a normal distribution.

d. When conducting a hypothesis test about the claimed proportion of adults who have current passports, the problems with a convenience sample can be overcome by using a larger sample size.

e. When repeating the same hypothesis test with different random samples of the same size, the conclusions will all be the same.

P-Values. In Exercises 17鈥�20, do the following:

a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.

b. Find the P-value. (See Figure 8-3 on page 364.)

c. Using a significance level of = 0.05, should we reject H0or should we fail to reject H0?

The test statistic of z = -1.94 is obtained when testing the claim that p=38 .
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