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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, 伪=0.01

The output from previous Exercise is :

As伪<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 study was conducted to test the effectiveness of a software patch in reducing system failures over a six-month period. Results for randomly selected installations are shown in Table 10.21. The 鈥渂efore鈥� value is matched to an 鈥渁fter鈥� value, and the differences are calculated. The differences have a normal distribution. Test at the 1% significance level.

What is the p-value?

A golf instructor is interested in determining if her new technique for improving players鈥� golf scores is effective. She takes four (4) new students. She records their 18-hole scores before learning the technique and then after having taken her class. She conducts a hypothesis test. The data are as Table 10.37.

Player 1Player 2Player 3Player 4Mean score before class83789387Mean score after class80808686

This is:

a. a test of two independent means.

b. a test of two proportions.

c. a test of a single mean.

d. a test of a single proportion.

A new windshield treatment claims to repel water more effectively. Ten windshields are tested by simulating rain without

the new treatment. The same windshields are then treated, and the experiment is run again. A hypothesis test is conducted.

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

A new medicine is said to help improve sleep. Eight subjects are picked at random and given the medicine. The means

hours slept for each person were recorded before starting the medication and after.

A new prep class was designed to improve SAT test scores. Five students were selected at random. Their scores on two practice exams were recorded, one before the class and one after. The data recorded in the table given below. Are the scores, on average, higher after the class? Test at a 5%level.
See all solutions

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