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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:渭=18;Ha:渭鈮�18

b.H0:渭=16.5;Ha:渭<18

c.H0:渭<18;Ha:渭=18

d.H0:渭=18;Ha:渭<18

e.H0:x炉=18;Ha:x炉<18

Short Answer

Expert verified

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

Packaging CDs (6.2, 5.3) A manufacturer of compact discs (CDs) wants to be sure that their CDs will fit inside the plastic cases they have bought for packaging. Both the CDs and the cases are circular. According to the supplier, the plastic cases vary Normally with mean diameter 渭=4.2inchesand a standard deviation 蟽=0.05inches. The CD manufacturer decides to produce CDs with mean diameter 渭=4inches. Their diameters follow a Normal distribution with 蟽=0.1inches.

(a) Let X = the diameter of a randomly selected CD and Y = the diameter of a randomly selected case. Describe the shape, center, and spread of the distribution of the random variable X = Y. What is the importance of this random variable to the CD manufacturer?

(b) Compute the probability that a randomly selected CD will fit inside a randomly selected case.

(c) The production process actually runs in batches of 100 CDs. If each of these CDs is paired with a randomly chosen plastic case, find the probability that all the CDs fit in their cases.

Fonts and reading ease Does the use of fancy type fonts slow down the reading of text on a computer screen? Adults can read four paragraphs of text in the common Times New Roman font in an average time of 22seconds. Researchers asked a random sample of 24adults to read this text in the omate font named Gigi. Here are their times, in seconds:

23.221.228.927.729.127.316.122.625.634.223.926.8
20.534.321.432.626.234.131.524.623.028.624.428.1

Do these data provide good evidence that the mean reading time for Gigi is greater than 22seconds? Carry out an appropriate test to help you answer this question.

- Use a confidence interval to draw a conclusion for a two-sided test about a population mean.

As part of its 2010 census marketing campaign, the U.S. Census Bureau advertised

鈥�10 questions, 10 minutes鈥攖hat鈥檚 all it takes.鈥� On the census form itself, we read, 鈥淭he

U.S. Census Bureau estimates that, for the average household, this form will take

about 10 minutes to complete, including the time for reviewing the instructions and

answers.鈥� We suspect that the actual time it takes to complete the form may be longer

than advertised.

For the study of Jordanian children in Exercise 4, the sample mean hemoglobin level was 11.3 g/dl and the sample standard deviation was 1.6 g/dl. A significance test yields a P-value of 0.0016.

(a) Interpret the P-value in context.

(b) What conclusion would you make if 伪= 0.05? 伪= 0.01? Justify your answer.

For the job satisfaction study described in Section 9.1, the hypotheses are

H0:渭=0Ha:渭isnotequalto0

where 渭is the mean difference in job satisfaction scores (self-paced machine-paced) in the population of assembly-line workers at the company. Data from a random sample of 18workers gave x铃�=17and sx=60

Calculate the test statistic. Show your work.
See all solutions

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