Test the Indicated Claim About the Means of Two Populations

question 1

Essay

Test the indicated claim about the means of two populations. Assume that the two samples are independent and that they have been randomly selected.
-Two types of flares are tested for their burning times (in minutes)and sample results are given below. $$\begin{array} { l l l } \text { Brand } \mathrm { X }& { \text { Brand } \mathrm { Y } } \\\hline n=35 & \overline { \mathrm { n } } = 40 \\\overline { \mathrm { x } } = 19.4 & \overline { \mathrm { x } } = 15.1 \\\mathrm {~s} = 1.4 & \mathrm {~s} = 0.8\end{array}$$ Refer to the sample data to test the claim that the two populations have equal means. Use a 0.05 significance level.

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Definitions:

Compensating Differential

A difference in wages that arises to compensate employees for unpleasant aspects of a job, such as risk of injury or inconvenient work hours.

Eye Surgeon

A medical doctor specializing in the diagnosis and surgical treatment of disorders and diseases of the eye.

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The exchange of goods and services between countries, across their international borders.

Relative Demand

It refers to the demand for a good or service compared to another, showing how the demand for one product varies as the demand for another changes.