The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from nine males and 16females.

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 option (b)

Step by step solution

01

Given Information 

Given in the question that a the mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from nine males and 16females. we have to determine the correct option.

02

Explanation  

The variance are unknown but the mean are known.

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Most popular questions from this chapter

A new laundry detergent is tested on consumers. Of interest is the proportion of consumers who prefer the new brand

over the leading competitor. A study is done to test this.

Indicate if the hypothesis test is for

a. independent group means, population standard deviations, and/or variances known

b. independent group means, population standard deviations, and/or variances unknown

c. matched or paired samples

d. single mean

e. two proportions

f. single proportion

The means of the number of revolutions per minute of two competing engines are to be compared. Thirty engines are randomly assigned to be tested. Both populations have normal distributions. Table given below shows the result. Do the data indicate that Engine 2 has higher RPM than Engine 1? Test at a 5%level of significance.

EngineSample mean number of RPMPopulation Standard Deviation
1150050
2160060

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.

What is the random variable of interest for this test?

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.

In words, define the random variable for this test.

Use the following information to answer the next 12 exercises: The U.S. Center for Disease Control reports that the mean life expectancy was 47.6years for whites born in 1900 and 33.0 years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain

county. Of the 124 whites, the mean life span was 45.3years with a standard deviation of 12.7years. Of the 82 nonwhites, the mean life span was 34.1years with a standard deviation of 15.6

years. Conduct a hypothesis test to see if the mean life spans in the county were the same for whites and nonwhites.

Explain why you chose the distribution you did for Exercise 10.24.

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