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Chapter 9: Q.1.2 Intercepts; Symmetry; Graphing Key Equations (page 532)

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.

Short Answer

Expert verified

The boundary of interest is the real population mean measure of time expected to finish the type of census.

Step by step solution

01

introduction

Given,

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

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

answers.

02

explanation

The boundary of interest is the real population mean measure of time expected to finish the type of census.

mean = 10

The null hypothesis is,H0:渭=10

The alternate hypothesis is Ha:渭<10

The test is left tailed.

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Most popular questions from this chapter

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.

Refer to Exercise 79. Construct and interpret a 95%confidence interval for the population mean M. What additional information does the confidence interval provide .

(a) State hypotheses for a significance test to determine whether first responders are arriving within 8 minutes of the call more often. Be sure to define the parameter of interest.

(b) Describe a Type I error and a Type II error in this setting and explain the consequences of each.

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

(d) If you sustain a life-threatening injury due to a vehicle accident, you want to receive medical treatment as quickly as possible. Which of the two significance tests鈥�H0:渭=6.7versusHa:渭<6.7 or the one from part (a) of this exercise鈥攚ould you be

more interested in? Justify your answer.

When ski jumpers take off, the distance they fly varies considerably depending on their speed, skill, and wind conditions. Event organizers must position the landing area to allow for differences in the distances that the athletes fly. For a particular competition, the organizers estimate that the variation in distance flown by the athletes will be

蟽= 10meters. An experienced jumper thinks that the organizers are underestimating the variation.

Study more! A student group claims that first-year students at a university study 2.5hours per night during the school week. A skeptic suspects that they study less than that on average. He takes a random sample of 30first-year students and finds that x=137minutes and sx=45minutes. A graph of the data shows no outliers but some skewness. Carry out an appropriate significance test at the 5%significance level. What conclusion do you draw?
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