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Chapter 10: Q. 7 (page 596)

Use the following information to answer the next 15exercises: 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

It is believed that the average grade on an English essay in a particular school system for females is higher than for males. A random sample of 31females had a mean score of 82 with a standard deviation of three, and a random sample of 25 males had a mean score of 76 with a standard deviation of four

Short Answer

Expert verified

The test is for unknown variances, independent group means, and population standard deviations.

Step by step solution

01

Given information

Females are thought to get a higher average grade on an English essay in a certain educational system than males.

The mean score of 31random females was 82, with a standard deviation of3.

The mean score of 31random females was82, with a standard deviation of 4.

02

Explanation

Assuming a female's average grade is μF

Assuming a male's average grade is μM

The null and alternative hypothesis is given as

H0:μF=μMHa:μF>μM

This demonstrates that the hypothesis test is valid for independent group means, population standard deviations, and unknown variances.

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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.

Does it appear that the proportion of Nevadans who are two or more races is higher than the proportion of NorthDakotans? Why or why not?

Use the following information to answer the next five exercises. A researcher is testing the effects of plant food on plant growth. Nine plants have been given the plant food. Another nine plants have not been given the plant food. The heights of the plants are recorded after eight weeks. The populations have normal distributions. The following table is the result. The researcher thinks the food makes the plants grow taller.

Is the population standard deviation known or unknown?

It is believed that 70%of males pass their drivers test in the first attempt, while 65%of females pass the test in the first attempt. Of interest is whether the proportions are in fact equal.

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

Use the following information to answer the next five exercises. A researcher is testing the effects of plant food on plant growth. Nine plants have been given the plant food. Another nine plants have not been given the plant food. The heights of the plants are recorded after eight weeks. The populations have normal distributions. The following table is the result. The researcher thinks the food makes the plants grow taller.

At the 1 % significance level, what is your conclusion?

Use the following information to answer the next five exercises. A doctor wants to know if a blood pressure medication is

effective. Six subjects have their blood pressures recorded. After twelve weeks on the medication, the same six subjects

have their blood pressure recorded again. For this test, only systolic pressure is of concern. Test at the 1% significance level.

What is the p-value?
See all solutions

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