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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 →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 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?

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

Adults aged 18 years old and older were randomly selected for a survey on obesity. Adults are considered obese if their body mass index (BMI) is at least 30. The researchers wanted to determine if the proportion of women who are obese in the south is less than the proportion of southern men who are obese. The results are shown in Table 10.27. Test at the 1% level of significance.


Number who are obeseSample size
Men42769155,525
Women67169248,775

97. A baseball fan wanted to know if there is a difference between the number of games played in a World Series when the American League won the series versus when the National League won the series. From 1922 to 2012 , the population standard deviation of games won by the American League was 1.14, and the population standard deviation of games won by the National League was 1.11. Of 19 randomly selected World Series games won by the American League, the mean number of games won was 5.76. The mean number of 17 randomly selected games won by the National League was 5.42. Conduct a hypothesis test.

Conduct a hypothesis test to answer the next two exercises.
87. The exact distribution for the hypothesis test is:
a. the normal distribution
b. the Student's t-distribution
c. the uniform distribution
d. the exponential distribution

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