An indusulai plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independentrandom samples were taken of plants using electricity and plants using gas. These samples consisted of 13 plants using electricity, which had a mean cost perunit of $43.98 and standard deviation of $7.94, and 8 plants using gas, which had a mean of $52.70 and standard deviation of $8.51. Assume that thepopulations 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, atthe 0.05 level of significance, that the mean cost per unit for plants using electricity, u1, is less than the mean cost per unit for plants using gas, u,?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis H, and the alternative hypothesis H,.Họ : 0H, :0(b) Determine the type of test statistic to use.(Choose one) ▼(c) Find the value of the test statistic. (Round to three or more decimal places.)(d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.)(e) Can we conclude that the mean cost per unit for plants using electricity is less than the meancost per unit for plants using gas?VesNo

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Description: An indusulai plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independentrandom samples were taken of plants using electricity and plants using gas. These samples con

Given : n1=13 , n2=8 , X1-bar=43.98 , X2-bar=52.70 , s1=7.94 , s2=8.51 ,α=0.05 Since , the…

Answered: hat the mean cost per unit for plants…

Math

Statistics

hat the mean cost per unit for plants using electricity, µ1, is less than the mean cost per unit for plants using gas, µ,?

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

An indusulai 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 13 plants using electricity, which had a mean cost per
unit of $43.98 and standard deviation of $7.94, and 8 plants using gas, which had a mean of $52.70 and standard deviation of $8.51. 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 0.05 level of significance, that the mean cost per unit for plants using electricity, u1, is less than the mean cost per unit for plants using gas, u,?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H, and the alternative hypothesis H,.
Họ : 0
H, :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.)
(e) Can we conclude that the mean cost per unit for plants using electricity is less than the mean
cost per unit for plants using gas?
Ves
No

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