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Chapter 10: Q. 72 (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 conclusion can you draw about the juggling class?

Short Answer

Expert verified

The null hypothesis can be overlooked with a p- value of 0.0041. There is enough proof to suggest that taking a juggling class improves the number of balls each student can juggle.

Step by step solution

01

Given information

The table is

02

Assessment of the juggling class

First, test at1%level of significance, that is, α=0.01

The output from previous Exercise is :

Asα<p-value, do not overlook the null hypothesis.

At 1%level of significance, there is insufficient data to support the idea that juggling classes increase the number of balls that can be juggled at one time.

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Most popular questions from this chapter

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.

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Use the following information to answer the next 15 exercises: Indicate if the hypothesis test is for

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A sample of 12 in-state graduate school programs at school A has a mean tuition of \(64,000 with a standard deviation of \)8,000. At school B, a sample of 16 in-state graduate programs has a mean of \(80,000 with a standard deviation of \)6,000. On average, are the mean tuitions different?

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.

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.

State the null and alternative hypotheses.

a.H0:

b. Ha:

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

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