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Chapter 13: Q. 56 (page 767)

State the null and alternative hypotheses.

Short Answer

Expert verified

The null hypotheses is H0:σ1=σ2or σ12=σ22and the alternative hypotheses is H1:σ1<σ2 or σ12<σ22.

Step by step solution

01

Concept introduction

Hypothesis in statistics is defined as the report concerning the nature of a population. And it is usually expressed in terms of a population parameter.

02

Explanation

The null hypothesis is a statistical theory that states that no statistical link or significance exists between two collections of observational data and measured events in a given single observed variable.

Here, there is no significance difference between the cyclist records is given as below:
H0:σ1=σ2or σ12=σ22
The alternative hypothesis is one of the hypothesis test's offered propositions in statistical hypothesis testing.

Therefore, the alternate hypothesis against the null hypothesis is given as:
H1:σ1<σ2or σ12<σ22

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Most popular questions from this chapter

Name one assumption that must be true.

Four sports teams took a random sample of players regarding their GPAs for the last year. The results are shown in Table 13.8

BasketballBaseballHockeyLacrosse
3.62.14.02.0
2.92.62.03.6
2.53.92.63.9
3.33.13.22.7
3.83.43.22.5

Use a significance level of 5%, and determine if there is a difference in GPA among the teams .

There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test.

Write the final assumption.

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