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Chapter 9: Q. 75 (page 607)

A school librarian purchases a novel for her library. The publisher claims that the book is written at a fifth-grade reading level, but the librarian suspects that the reading level is lower than that. The librarian selects a random sample of 40pages and uses a standard readability test to assess the reading level of each page. The mean reading level of these pages is 4.8with a standard deviation of 0.8. Do these data give convincing evidence at the 伪=0.05 significance level that the average reading level of this novel is less than 5?

Short Answer

Expert verified

No, there is insufficient evidence to conclude that average reading level of novel is less than5.

Step by step solution

01

Step 1. Given information

Population on mean (渭)=5

Standard mean(x炉)=4.8

Sample size(n)=40

Sample standard deviation(s)=0.8

02

Step 2. Explanation

The null and alternative hypotheses are:

H0:渭=5Ha:渭<5

The alternative hypothesis represents that the test is left tailed.

The obtained Minitab output is:

The p-value is 0.029

Here, p-value (0.061)>伪(0.05). The null hypothesis is not rejected.

At 5%level of significance there is insufficient evidence to conclude that average reading level of novel is less than5.

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In a test ofH0:p=0.4against Ha:p鈮�0.4, a random sample of size 100 yields a standardized test statistic of z=1.28. Which of the following is closest to the P-value for this test?

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