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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 渭F

Assuming a male's average grade is 渭M

The null and alternative hypothesis is given as

H0:渭F=渭MHa:渭F>渭M

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

95. A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were \(947 and \)1,011, respectively. The population standard deviations are known to be \(254and \)87, respectively. Conduct a hypothesis test to determine if the means are statistically the same.

Two types of phone operating system are being tested to determine

if there is a difference in the proportions of system failures (crashes). Fifteen out of a random sample of 150 phones with OS1had system failures within the first eight hours of operation. Nine out of another random sample of 150 phones with OS2had system failures within the first eight hours of operation. OS2is believed to be more stable (have fewer crashes) than OS1.

What can you conclude about the two operating systems?

Use the following information to answer next five exercises. A study was conducted to test the effectiveness of a juggling class. Before the class started, six subjects juggled as many balls as they could at once. After the class, the same six subjects juggled as many balls as they could. The differences in the number of balls are calculated. The differences have a normal distribution. Test at the 1% significance level

What is the sample mean difference?

Comparing Two Independent Population Proportions.

Use the following informotion for the next five exercises. Two types of phone operating system are being tested to determine if there is a difference in the proportions of system failures (crashes). Fifteen out of a random sample of 150 phones with OS1 had system failures within the first eight hours of operation. Nine out of another random sample of 150 phones with

OS2 had system failures within the first eight hours of operation. OS2 is believed to be more stable (have fewer crashes) than OS1.

Is this a test of means or proportions?

86. In two to three complete sentences, explain in detail how you might use Terri Vogel's data to answer the following question. "Does Terri Vogel drive faster in races than she does in practices?"
Use the following information to answer the next two exercises. The Eastern and Western Major League Soccer conferences have a new Reserve Division that allows new players to develop their skills. Data for a randomly picked date showed the following annual goals.

Western
Eastern
Los Angeles 9
D.C. United 9
FC Dallas 3
Chicago 8
Chivas USA 4
Columbus 7
Real Salt Lake 3
New England 6
Colorado 4
Metro Stars 5
San Jose 4
Kansas City 3
See all solutions

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