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Chapter 10: Q. 69 (page 600)

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 p-value?

Short Answer

Expert verified

The required p-value is0.0041

Step by step solution

01

Given information

The table is

02

Find the p-value?

STAT and 鈫�are applied to find the p-value.

TESTS is required to be selected twice.

To enter the stat list editor, press STAT then 1.

Input the list for the before and after values, then go to the third list and enter L2-L1in the name list, keying ENTER after each value.

The information is provided below:

After completing all of the example entries, press E N T E R and get:

The p-value is 0.0041.

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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.

Calculate the test statistic.

Two computer users were discussing tablet computers. A higher proportion of people ages 16to 29use tablets than the proportion of people age 30and older. Table localid="1653641949025" 10.28details the number of tablet owners for each age group. Test at the localid="1653641953436" 1%level of significance.

Table.localid="1653641957518" 10.28


localid="1653641961619" 16-29years oldlocalid="1653641966431" 30years old and older
Own table69231
Sample size6282309

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?

102. A recent year was randomly picked from 1985 to the present. In that year, there were 2,051 Hispanic students at Cabrillo College out of a total of 12,328 students. At Lake Tahoe College, there were 321 Hispanic students out of a total of 2,441 students. In general, do you think that the percent of Hispanic students at the two colleges is basically the same or different?

Use the following information to answer the next 12 exercises: The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years 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 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years 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.

Which distribution (normal or Student's t) would you use for this hypothesis test?
See all solutions

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