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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

Attitudes The Survey of Study Habits and Attitudes (SSHA) is a

psychological test with scores that range from 0to200.. The mean score for U.S. college students is115. A teacher suspects that older students have better attitudes toward school. She gives the SSHA to an SRS of 45students from the more than 1000students at her college who are at least 30years of age. The teacher wants to perform a test at the α=0.05significance level of

H0:μ=115Ha:μ>115

where μ=the mean SSHA score in the population of students at her college who are at least 30years old. Check if the conditions for performing the test are met.

Tests and confidence intervals The P-value for a two-sided test of the null hypothesis H0:μ=10is0.06

a. Does the 95% confidence interval for μ include 10? Why or why not?

b. Does the 90% confidence interval for μ include 10? Why or why not?

Teen drivers A state’s Division of Motor Vehicles (DMV) claims that 60%

of all teens pass their driving test on the first attempt. An investigative reporter examines an SRS of the DMV records for 125teens; 86of them passed the test on their first try. Is there convincing evidence at the α=0.05significance level that the DMV’s claim is incorrect?

Pressing pills Refer to Exercise 77.

a. Construct and interpret a 95% confidence interval for the true hardness μ of the tablets in this batch. Assume that the conditions for inference are met.

b. Explain why the interval in part (a) is consistent with the result of the test in Exercise 77.

Home computersRefer to Exercise 35.

a. Explain why the sample result gives some evidence for the alternative hypothesis.

b. Calculate the standardized test statistic and P-value.

c. What conclusion would you make?

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