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Chapter 10: Q.10.135 (page 443)

Font Readability. In the online paper "A Comparison o Two Computer Fonts: Serif versus Ornate Sans Serif" (Usability News, Issue 5.3), researchers S. Morrison and J. Noyes studied whether the type of font used in a document affects reading speed or comprehension. The fonts used for the comparisons were the serif font Times New Roman (TNR) and a more ornate sans serif font called Gigi. The following table gives the times, in seconds, that it took each of the 25participants to read paragraphs in the TNR and Gigi fonts.

Suppose that you want to perform a hypothesis test to determine whether, on average, people read faster with the TNR font than with the Gigi font. Conduct preliminary graphical data analyses to decide whether applying the paired t-test is reasonable. Explain your decision.

Short Answer

Expert verified

It is not possible to apply the paired t-test.

Step by step solution

01

Given Information

The sample size is25.

02

Explanation

The probability plot is

The box plot is,

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Most popular questions from this chapter

In each of exercise 10.13-10.18, we have presented a confidence interval for the difference,μ1-μ2, between two population means. interpret each confidence interval

90%CI from-10to-5

In each of Exercises 10.75-10.80, we have provided summary statistics for independent simple random samples from two populations. In each case, use the non pooled t-test and the non pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval,

x¯1=20,s1=4,n1=10,x¯2=23,s2=5,n2=15.

a. Left-tailed test, α=0.05.

b. 90%confidence interval.

Suppose that you want to perform a hypothesis test to compare the means of two populations, using a paired sample. For each part, decide whether you would use the pairedt -test, the paired Wilcoxon signed-rank test, or neither of these tests if preliminary data analyses of the sample of paired differences suggest that the distribution of the paired-difference variable is

a. approximately normal.

b. highly skewed; the sample size is 20.

c. symmetric bimodal.

Left-Tailed Hypothesis Tests and CIs. If the assumptions for a nonpooled t-interval are satisfied, the formula for a (1-α) level upper confidence bound for the difference, μ1-μ2. between two population means is

f1-f2+t0·s12/n1+s22/n2

For a left-tailed hypothesis test at the significance level α, the null hypothesis H0:μ1=μ2 will be rejected in favor of the alternative hypothesis H2:μ1<μ2 if and only if the (1-α)-level upper confidence bound for μ1-μ2 is less than or equal to 0. In each case, illustrate the preceding relationship by obtaining the appropriate upper confidence bound and comparing the result to the conclusion of the hypothesis test in the specified exercise.

a. Exercise 10.83

b. Exercise 10.84

The primary concern is deciding whether the mean of Population 1 is greater than the mean of Population 2
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