The primary concern is deciding whether the mean of Population 2 differs from the mean of Population 1 .

Short Answer

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(a) Null hypotheses:H0:μ1=μ2

Alternate hypotheses:Ha·μ1μ2

(b) The hypotheses test is two-tailed.

Step by step solution

01

Part (a) Step 1: Given information  

Given in the question that, We need to determine the null and alternative hypotheses.

02

Part (a) Step 2: Explanation

The main problem in this situation is determining whether the mean of Population 2 differs from the mean of Population 1.

A hypothesis is a testable hypothesis. The hypothesis is tested using a variety of statistical models.

A frequently accepted fact is referred to as a null hypothesis. The null hypotheses are rejected, disproved, or nullified by researchers. The researcher proposes an alternative hypothesis to refute the null hypothesis.

The primary concern in the scenario is determining whether Population 2's mean differs from Population 1's mean.

To begin, the mean of Population 2 is assumed to be the same as the mean of Population 1. After that, the researcher seeks to disprove the null hypotheses.

Null hypotheses:H0:μ1=μ2

Alternate hypotheses:Ha:μ1μ2

03

Part (b) Step 1: Given information  

Given in the question that, we need to classify the hypothesis test as two tailed, left tailed, or right tailed.

04

Part (b) Step 2: Explanation

The key focus in the provided scenario is determining if the mean of Population 2 differs from the mean of Population 1 .To begin with, it is assumed that the mean of Population 2 is equal to the mean of Population 1. After that, the researcher seeks to reject the null hypotheses.

Null hypotheses:H0:μ1=μ2

Alternate hypotheses: Ha:μ1μ2

The effect of alternate hypothesis testing can be explored in both directions here. The hypotheses test is thus two-tailed.

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Most popular questions from this chapter

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.
10.35 x¯1=468.3,s1=38.2,n1=6

x2=394.6,s2=84.7,n2=14

The intent is to employ the sample data to perform a hypothesis test to compare the means of the two populations from which the data were obtained. In each case, decide which of the procedures should be applied.

Independent: n1=25

n2=20

Stressed-Out Bus Drivers. An intervention program designed by the Stockholm Transit District was implemented to improve the work conditions of the city's bus drivers. Improvements were evaluated by G. Evans et al., who collected physiological and psychological data for bus drivers who drove on the improved routes (intervention) and for drivers who were assigned the normal routes (control). Their findings were published in the article "Hassles on the Job: A Study of a Job Intervention with Urban Bus Drivers" (Journal of Organizational Behavior, Vol. 20, pp. 199-208). Following are data, based on the results of the study, for the heart rates, in beats per minute, of the intervention and control drivers.

a. At the 5%significance level, do the data provide sufficient evidence to conclude that the intervention program reduces mean heart rate of urban bus drivers in Stockholm? (Note; x1=67.90, s1=5.49,x¯2=66.81and s2=9.04.

b. Can you provide an explanation for the somewhat surprising results of the study?

c. Is the study a designed experiment or an observational study? plain your answer.

The intent is to employ the sample data to perform a hypothesis test to compare the means of the two populations from which the data were obtained. In each case, decide which of the procedures should be applied.

Paired: n=18.

Faculty Salaries. Suppose, for example10.2, you want to decide whether the mean salary of faculty in private institutions is greater than the mean salary of faculty in public institutions. State the null and alternative hypotheses for that hypothesis test.

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