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Chapter 9: Q.27 (page 548)

Experiments on learning in animals sometimes measure how long it takes mice to find their way through a maze. The mean time is 18 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster She measures how long each of 10 mice takes with: noise as a stimulus. The sample mean is x-=16.5seconds. The appropriate hypotheses for the significance test are

a.H0:μ=18;Ha:μ≠18

b.H0:μ=16.5;Ha:μ<18

c.H0:μ<18;Ha:μ=18

d.H0:μ=18;Ha:μ<18

e.H0:x¯=18;Ha:x¯<18

Short Answer

Expert verified

The correct option is d.H0:μ=18;Ha:μ<18

Step by step solution

01

Introduction

A hypothesis is a proposed clarification for a peculiarity. For a theory to be logical speculation, the logical technique expects that one can test it.

02

Explanation

Given,

The mean time is 18seconds for one particular maze.

The sample mean is 16.5seconds.

Calculating the null and alternative hypotheses,

role="math" localid="1652849612643" H0:μ=18as per null hypothesis

Ha:u<18as per alternative hypothesis

Hence option d. is correct.

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Most popular questions from this chapter

Simon reads a newspaper report claiming that 12% of all adults in the United States are left-handed. He wonders if 12% of the students at his large public high school are left-handed. Simon chooses an SRS of 100 students and records whether each student is right- or left-handed.

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(c) Which is more serious in this setting: a Type I error or a Type II error? Justify your answer.

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(a) a one-proportion z test.

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Researchers would like to carry out a test of H0:μd=0versus Hα:μd≠0, where μdis the true mean difference in the number of grocery shoppers on these two days. Which of the following conditions for performing a paired ttest is not met?

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