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Chapter 10: Q.26 (page 597)

Calculate the test statistic and p-value.

Short Answer

Expert verified

The value of test statistics is 5.421and the p-value is 0

Step by step solution

01

Given information

Given following data

02

Simplify 

Finding standard error

SE=s12n1+s22n2=4.26853=2.06604

Test statistics is t=μω-μηωSE=45.3-34.12.06604=5.421

let us determine the number of degrees of freedom using the formula from 10.1:

df=SE4S14+s24n12(n1-1)+n22(n2-1)=2.0660440.12249=148.749

using the above formula we get p-value is0

03

Graphical representation 

Student's t distribution

X~t(df)

μ=E(X)=0α=SD(X)=1.007α2=Var(X)=1.014

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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.
Is this a test of means or proportions?

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.

At a pre-conceived α = 0.05, what is your:

a. Decision:

b. Reason for the decision:

c. Conclusion (write out in a complete sentence):

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.

What is the p-value?

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?

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.

State the null and alternative hypotheses.
See all solutions

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