of the test statistic. (Round to three or more decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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(a) State the null hypothesis 
H0
 and the alternative hypothesis 
H1
.
H0:
H1:
(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 p-value. (Round to three or more decimal places.)
 
(e) 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 
 
No
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 8 plants using electricity, which had a mean cost per
unit of $66.89 and standard deviation of $8.63, and 14 plants using gas, which had a mean of $63.50 and standard deviation of $7.78. 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, µj, is greater than the mean cost per unit for plants using gas, ?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of
formulas.)
Transcribed Image Text: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 8 plants using electricity, which had a mean cost per unit of $66.89 and standard deviation of $8.63, and 14 plants using gas, which had a mean of $63.50 and standard deviation of $7.78. 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, µj, is greater than the mean cost per unit for plants using gas, ? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
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