/*! 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} Q. 10.30 In Exercises 10.25-10.30, hypoth... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

In Exercises 10.25-10.30, hypothesis tests are proposed. For each

hypothesis test,

a. identify the variable.

b. identify the two populations,

c. determine the null and alternative hypotheses.

d. classify the hypothesis test as two-tailed, left-tailed, or right-tailed.

Wing Length. D. Cristol et al. published results of their studies of two subspecies of dark-eyed juncos in the paper "Migratory Dark-Eyed Juncos, Junco hyemalis, Have Better Spatial Memory and Denser Hippocampal Neurons Than Nonmigratory Conspecifics" (Animal Behaviour, Vol. 66, Issue 2, pp. 317-328). One of the subspecies migrates each year, and the other does not migrate. A hypothesis test is to be performed to decide whether the mean wing lengths for the two subspecies (migratory and nonmigratory) are different.

Short Answer

Expert verified

Part a. The variable is wing length.

Part b. The two populations are migratory subspecies and nonmigratory subspecies.

Part c. Null hypothesis H0:μ1=μ2and alternative hypothesis Ha:μ1≠μ2

Part d. The hypothesis is classified as two-tailed.

Step by step solution

01

Part (a) Step 1. Given Information 

We are given a hypothesis.

A hypothesis test is to be performed to decide whether the mean wing lengths for the two subspecies (migratory and nonmigratory) are different.

02

Part (a) Step 2. Identify the variable   

A variable is an attribute or a characteristic that can be measured. The value of the variable may differ for each and every unit. That is, a variable is defined as the characteristic which is recorded for each case.

The wing lengths of two subspecies are recorded in the article.

So the variable in this study is wing lengths

03

Part (b) Step 1. Identify the two populations   

The population includes all the individuals of interest that are being examined. In other words, the collection of all people, items, or objects that are required for a specific study is defined as the population.

Wing lengths of two subspecies are recorded. They are migratory subspecies and nonmigratory subspecies.

So the two populations are migratory subspecies and nonmigratory subspecies.

04

Part (c) Step 1. Determine the null and alternative hypothesis  

Let us assume that μ1denotes the mean wing length of migratory subspecies and μ2denotes the mean wing length of nonmigratory subspecies.

The null hypothesis is defined as

H0:There is no significant difference between the mean wing length of migratory subspecies and nonmigratory subspecies.

H0:μ1=μ2

The alternative hypothesis is defined as

role="math" localid="1652781176688" Ha:There is a significant difference between the mean wing length of migratory subspecies and nonmigratory subspecies.

Ha:μ1≠μ2

05

Part (d) Step 1. Classification   

As our alternative hypothesis suggest that the mean of the first population is not equal to the mean of the second population.

So the hypothesis can be classified as a two-tailed test.

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 91Ó°ÊÓ!

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

The Federal Bureau of Prisons publishes data in Prison Statistics on the times served by prisoners released from federal institutions for the first time. Independent random samples of released prisoners in the fraud and firearms offense categories yielded the following information on time served, in months.

At the 5% significance level, do the data provide sufficient evidence to conclude that the meantime served for fraud is less than that for firearms offenses? (Note: x¯1=10.12,s1=4.90,x¯2=18.78, and s2=4.64.)

In Exercises 10.25-10.30, hypothesis tests are proposed. For each

hypothesis test,

a. identify the variable.

b. identify the two populations,

c. determine the null and alternative hypotheses.

d. classify the hypothesis test as two-tailed, left-tailed, or right-tailed.

Teaching Duties. Contingent faculty members in higher education are non-tenure track faculty, adjuncts, postdocs, lecturers, of instructors. R. Bowden and L. Gonzalez researched whether contingent faculty members are different from tenure-track faculty members with regards to teaching, research, and service in the article "The Rise of Contingent Faculty: Its Impact on the Professoriate and Higher Education" (Journal of Applied Research in Higher Education, Vol. 4, No. 1, pp. 5-22). A hypothesis test was conducted to decide whether the mean number of classes taught for credit per semester was less for contingent faculty than for tenure-track faculty.

Discuss the relative advantages and disadvantages of using pooled and non pooled -procedures.

In each of Exercises 10.35-10.38, we have provided summary statistics for independent simple random samples from two populations. Preliminary data analyses indicate that the variable under consideration is normally distributed on each population. Decide, in each case, whether use of the pooled t-test and pooled t-interval procedure is reasonable. Explain your answer.

10.38 x1=39.04,s1=18.82,n1=51

x2=49.92,s2=18.97,n2=53

In each of Exercises 10.35-10.38, we have provided summary statistics for independent simple random samples from two populations. Preliminary data analyses indicate that the variable under consideration is normally distributed on each population. Decide, in each case, whether use of the pooled t-lest and pooled t-interval procedure is reasonable. Explain your answer.

10.36 x¯1=115.1,s1=79.4,n1=51
x¯2=24.3,s2=10.5,n2=19

See all solutions

Recommended explanations on Math Textbooks

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.