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Chapter 10: Q.124 (page 610)

A powder diet is tested on 49people, and a liquid diet is tested on 36different people. The population standard deviations are two pounds and three pounds, respectively. Of interest is whether the liquid diet yields a higher mean weight loss than the powder diet.

Indicate which of the following choices best identifies the hypothesis test.

a. Independent group means, population standard deviation and/or variances known

b. Independent group means, population standard deviation and/or variances unknown

c. Matched or paired samples.

d. Single mean

e. Two proportions.

f. Single proportion.

Short Answer

Expert verified

The correct option is (a)

Independent group means, population standard deviation and/or variances known.

Step by step solution

01

Given Information   

Given in the question that a powder diet is tested 49on people, and a liquid diet is tested on 36different people. The population standard deviations are two pounds and three pounds, respectively. Of interest is whether the liquid diet yields a higher mean weight loss than the powder diet. we have to determine the correct option.

02

Explanation 

Independent group means, population standard deviation, and/or variances are given as two means and two standard deviations. therefore, the correct option is (a) Independent group means, population standard deviation and/or variances known.

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Most popular questions from this chapter

Use the following information to answer the next twelve exercises. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, only nine people reported being of two or more races. In the second random survey, out of 500 Nevadans, 17 people reported being of two or more races. Conduct a hypothesis test to determine if the population percents are the same for the two states or if the percent for Nevada is statistically higher than for North Dakota.

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