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:

Standard Oil

Standard Oil was an American oil producing, transporting, refining, and marketing company. Established by John D. Rockefeller in 1870, it became the largest and first multinational corporation in the world before being dismantled in 1911 due to antitrust laws.

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Hetch Hetchy

A valley in Yosemite National Park, which was controversially dammed in the early 20th century to provide water to San Francisco.

Conservationists

Individuals or groups who advocate for the preservation and protection of the environment and wildlife.