Question 136415: Hypothesis test for the difference of population means: t test
An industrial plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of plants using electricity, which had a mean cost per unit of and standard deviation of , and plants using gas, which had a mean of and standard deviation of . Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal. Can we conclude, at the level of significance, that the mean cost per unit for plants using electricity, , is greater than the mean cost per unit for plants using gas, ?
Perform a one tailed test. Carry your intermediate answers to at least three decimal places.
Null hypothesis—Ho:
Alternate Hypothesis—H1:
The type of test statistic:
The value of the test statistic (round to three decimal places)
The p-value (round to three decimal places:
Can we conclude that the mean cost per unit for plants using electricity is greater than the mean cost per unit for plants using gas? Yes or no.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Hypothesis test for the difference of population means: t test
An industrial plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of plants using electricity, which had a mean cost per unit of and standard deviation of , and plants using gas, which had a mean of and standard deviation of . Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal. Can we conclude, at the level of significance, that the mean cost per unit for plants using electricity, , is greater than the mean cost per unit for plants using gas, ?
Perform a one tailed test. Carry your intermediate answers to at least three decimal places.
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Comment: None of the pertinent quantatative data showed up in your post.
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Null hypothesis—Ho: u(elect) - u(gas) = 0
Alternate Hypothesis—H1: u(elect)-u(gas) > 0
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The type of test statistic: t(difference of sample means)= etc.
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The value of the test statistic (round to three decimal places)?
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The p-value (round to three decimal places:?
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Can we conclude that the mean cost per unit for plants using electricity is greater than the mean cost per unit for plants using gas? Yes or no.
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Cheers,
Stan H.
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