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Chapter 9: Q R9.4 (page 615)

Fonts and reading ease Does the use of fancy type fonts slow down the reading of text on a computer screen? Adults can read four paragraphs of a certain text in the common Times New Roman font in an average time of 22 seconds. Researchers asked a random sample of 24 adults to read this text in the ornate font named Gigi. Here are their times (in seconds):

Do these data provide convincing evidence that it takes adults longer than 22 seconds, on average, to read these four paragraphs in Gigi font?

Short Answer

Expert verified

Yes, there is sufficient evidence to show that reading of four paragraphs requires more than22 seconds.

Step by step solution

01

Step 1:Given information

The data is

02

Step 2:Explaination

The test statistic formula is:

t=x¯-μosh

Consider, μbe the average reading time to read the four paragraphs.

The null and alternative hypotheses are:

H0:μ=22

Ha:μ>22

The alternative hypothesis represents that the test is right tailed.

The obtained Minitab output is:

The p-value is0.000.

Here,p-value(0.000)<α(0.05)

The null hypothesis is rejected.

Therefore,

At5% level of significance there is sufficient evidence to show that reading of four paragraphs requires more than 22seconds.

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Most popular questions from this chapter

Don’t argue Refer to Exercises 2 and 12.

a. What conclusion would you make at the α=0.01 level?

b. Would your conclusion from part (a) change if a 5% significance level was used

instead? Explain your reasoning.

Better parking A local high school makes a change that should improve student

satisfaction with the parking situation. Before the change, 37%of the school’s students approved of the parking that was provided. After the change, the principal surveys an SRS of 200from the more than 2500students at the school. In all, 83students say that they approve of the new parking arrangement. The principal cites this as evidence that the change was effective.

a. Describe a Type I error and a Type II error in this setting, and give a possible

consequence of each.

b. Is there convincing evidence that the principal’s claim is true?

Potato power problems Refer to Exercises 85 and 87

a. Explain one disadvantage of using α=0.10 instead of α=0.05 when

performing the test.

b. Explain one disadvantage of taking a random sample of 500 potatoes instead of 250 potatoes from the shipment.

No homework? Refer to Exercise 1. The math teachers inspect the

homework assignments from a random sample of 50 students at the school. Only 68% of the students completed their math homework. A significance test yields a P-value of 0.1265.

a. Explain what it would mean for the null hypothesis to be true in this setting.

b. Interpret the P-value.

An opinion poll asks a random sample of adults whether they favor banning ownership of handguns by private citizens. A commentator believes that more than half of all adults favor such a ban. The null and alternative hypotheses you would use to test this claim are

а.H0:p∧=0.5;Ha:p∧>0.5H0:p^=0.5;Ha:p^>0.5.

b. H0:p=0.5;Ha:p>0.5H0:p=0.5;Ha:p>0.5.

c. H0:p=0.5;Ha:p<0.5H0:p=0.5;Ha:p<0.5.

d. H0:p=0.5;Ha:p≠0.H0:p=0.5;Ha:p≠0.5.

e. H0:p>0.5;Ha:p=0.5H0:p>0.5;Ha:p=0.5.
See all solutions

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