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Chapter 9: Q. 115 (page 555)

According to the N.Y. Times Almanac the mean family size in the U.S. is 3.18. A sample of a college math class resulted in the following family sizes:

5;4;5;4;4;3;6;4;3;3;5;5;6;3;3;2;7;4;5;2;2;2;3;2

At 伪=0.05 level, is the class鈥� mean family size greater than the national average? Does the Almanac result remain valid? Why?

Short Answer

Expert verified

There is sufficient evidence to conclude that the mean family size in the U.S is not 3.18.

Step by step solution

01

Given information 

The sample of 24families

5;4;5;4;4;3;6;4;3;3;5;5;6;3;3;2;7;4;5;2;2;2;3;2

02

Explanation

State the hypothesis:

The null hypothesis states that the mean family size in the U.S is 3.18. In symbols:

H0:渭=3.18

The alternative hypothesis states that the mean family size in the U.S is not 3.18. In symbols:

H0渭鈮�3.18

localid="1650279234332" p-value=0.0357

The null hypothesis is rejected as the p-value<0.05

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Most popular questions from this chapter

"Phillip鈥檚 Wish," by Suzanne Osorio

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Driver error can be listed as the cause of approximately 54% of all fatal auto accidents, according to the American Automobile Association. Thirty randomly selected fatal accidents are examined, and it is determined that 14 were caused by driver error. Using 伪 = 0.05, is the AAA proportion accurate?

H0:渭鈮�1,Ha:渭>1

Assume the p-value is 0.1243. What type of test is this? Draw the picture of the p-value.

A recent survey in theN.Y. Times Almanac indicated that 48.8%of families own stock. A broker wanted to determine if this survey could be valid. He surveyed a random sample of 250 families and found that142owned some type of stock. At the 0.05 significance level, can the survey be considered to be accurate?

Draw the graph of a two-tailed test.
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