/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q95SE Determining the target parameter... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q95SE (page 504)

Determining the target parameter. For each of the following studies, give the parameter of interest and state any assumptions that are necessary for the inferences to be valid.

a. Human Factors (December 2015) published a study on how well firefighter gloves fit. One objective was to compare the proportions of gloves that fit well for males and females. From data collected for 586 firefighters (546 males and 40 females), the researchers determined that 93% of males owned gloves that fit well, as compared to 49% of females a difference of 44%.

Short Answer

Expert verified

a. The parameter of interest is,\({p_{male}} - {p_{female}}\).

Step by step solution

01

Given information

The total number of firefighters is 686.

The number of male firefighters is 546.

The number of female firefighters is 40.

The researchers determined that 93% of males owned gloves that fit well, as compared to 49% of females a difference of 44%.

02

State the condition required for valid large sample inference about \(\left( {{{\hat p}_1} - {{\hat p}_2}} \right).\)           \(\)

The condition required for valid large sample inference is given as follows:

  • The two samples are randomly selected in an independent manner from the two target populations.
  • The sample sizes \({n_1}\)and \({n_2}\)are both large so that the sampling distribution of \(\left( {{{\hat p}_1} - {{\hat p}_2}} \right)\) will be approximately normal.
03

State the parameter of interest and any assumptions that are necessary for the inferences to be valid.

Let \({p_{male}}\) be the proportions of gloves that fit well for males and \({p_{female}}\) be the proportion of gloves that fit well for females.

Therefore,

The parameter of interest is,\({p_{male}} - {p_{female}}.\).

i.e. The \({p_{male}} - {p_{female}}\)difference between the proportions of gloves that fit well for males and females.

In this study, the assumption that is necessary for the inference to be valid is that the samples are independent.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Vulnerability of counting party Web spots. When you subscribe to your Facebook account, you're granted access to further. Then 1 million counting parties (RP) Web spots. Vulnerabilities in this sign-on system may permit a bushwhacker to gain unauthorized access to your profile, allowing the bushwhacker to impersonate you on the RP Web point. Computer and systems Masterminds delved into the vulnerability of counting party Web spots and presented their results at the Proceedings of the 5th AMC Factory on Computers & Communication Security (October 2012). RP Web spots were distributed as Gar莽on- inflow or customer- inflow Web spots. Of the 40 gar莽on- inflow spots studied, 20 were planted to be vulnerable to impersonation attacks. Of the 54 customer-inflow spots examined, 41 were. Plant to be vulnerable to impersonation attacks. Give your opinion on whether a customer- inflow Web point is more likely to be vulnerable to an impersonation attack than a gar莽on- inflow Website. However, how much more likely? If so.

Studies have established that rudeness in the workplace can lead to retaliatory and counterproductive behaviour. However, there has been little research on how rude behaviours influence a victim鈥檚 task performance. Such a study was conducted, and the results were published in the Academy of Management Journal (Oct. 2007). College students enrolled in a management course were randomly assigned to two experimental conditions: rudeness condition (students) and control group (students). Each student was asked to write down as many uses for a brick as possible in minutes. For those students in the rudeness condition, the facilitator displayed rudeness by generally berating students for being irresponsible and unprofessional (due to a late-arriving confederate). No comments were made about the late-arriving confederate to students in the control group. The number of different uses for brick was recorded for each student and is shown below. Conduct a statistical analysis (at 伪=0.01) to determine if the true mean performance level for students in the rudeness condition is lower than the actual mean performance level for students in the control group.

The data is given below

Control Group:

124516217201920191023160491317130212117311119912185213015421211101311361013161228191230


Rudeness Condition:

411181196511912757311191110789107114135478381591610071513921310

Conducting a political poll. A pollster wants to estimate the difference between the proportions of men and women who favor a particular national candidate using a 90% confidence interval of width .04. Suppose the pollster has no prior information about the proportions. If equal numbers of men and women are to be polled, how large should the sample sizes be?

Question: Is caffeine addictive? Does the caffeine in coffee, tea, and cola induce an addiction similar to that induced by alcohol, tobacco, heroin, and cocaine? In an attempt to answer this question, researchers at Johns Hopkins University examined 27 caffeine drinkers and found 25 who displayed some type of withdrawal symptoms when abstaining from caffeine. [Note: The 27 caffeine drinkers volunteered for the study.] Furthermore, of 11 caffeine drinkers who were diagnosed as caffeine dependent, 8 displayed dramatic withdrawal symptoms (including impairment in normal functioning) when they consumed a caffeine-free diet in a controlled setting. The National Coffee Association claimed, however, that the study group was too small to draw conclusions. Is the sample large enough to estimate the true proportion of caffeine drinkers who are caffeine dependent to within .05 of the true value with 99% confidence? Explain.

The 鈥渓ast name鈥� effect in purchasing. The Journal of Consumer Research (August 2011) published a study demonstrating the 鈥渓ast name鈥� effect鈥攊.e., the tendency for consumers with last names that begin with a later letter of the alphabet to purchase an item before consumers with last names that begin with earlier letters. To facilitate the analysis, the researchers assigned a number, x, to each consumer based on the first letter of the consumer鈥檚 last name. For example, last names beginning with 鈥淎鈥� were assigned x = 1; last names beginning with 鈥淏鈥� were assigned x = 2; and last names beginning with 鈥淶鈥� were assigned x = 26.

a. If the first letters of consumers鈥� last names are equally likely, find the probability distribution for x.

b. Find E (x) using the probability distribution, part a. If possible, give a practical interpretation of this value.?

c. Do you believe the probability distribution, part a, is realistic? Explain. How might you go about estimating the true probability distribution for x
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.