SLICE NAMEConfidence Intervals and Hypothesis TestingTOPIC NAMEHypothesis test for the difference of population means: t test for populations with equal variances =O CONFIDENCE INTERVALS AND HYPOTHESIS...Hypothesis test for the difference of...An industrial plant wants to determine which of two types of fuel,electric or gas, is more cost efficient (measured in cost per unit ofenergy). Independent random samples were taken of plants usingelectricity and plants using gas. These samples consisted of 10 plantsusing electricity, which had a mean cost per unit of $46.10 and standarddeviation of $8.62, and 15 plants using gas, which had a mean of $44.40 andstandard deviation of $8.27.Assume that the populations of costs per unit are normally distributedfor each type of fuel, and assume that the variances of thesepopulations are equal.▬▬▬ 0/5Can we conclude, at the 0.01 level of significance, that the mean costPizper unit for plants using electricity, differs from ₂, the mean cost perunit for plants using gas?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal placesand round your answers as specified in the table. (If necessary, consulta list of formulas.)(a) State the null hypothesis H, and the alternative hypothesis H₁.H₂:0H₁:0(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.)0(d)Find the two critical values at the 0.01 level of significance. (Round to three ormore decimal places.)and(e) Can we conclude that the mean cost per unit for plants using electricity differsfrom the mean cost per unit for plants using gas?OYes O NoμXaSX0#0 OO區!A DoneO CONFIDENCE INTERVALS AND HYPOTHESIS.....Hypothesis test for the difference.... ▬▬▬▬▬0/5www-awu.aleks.comEspañolAn industrial plant wants to determine which of two types of fuelectric or gas, is more cost efficient (measured in cost per unitenergy). Independent random samples were taken of plants uselectricity and plants using gas. These samples consisted of 10 pusing electricity, which had a mean cost per unit of $46.10 and stadeviation of $8.62, and 15 plants using gas, which had a mean ofstandard deviation of $8.27.Assume that the populations of costs per unit are normally distfor each type of fuel, and assume that the variances of thesepopulations are equal.(a) State the null hypothesis H, and the alternative hypothesis H₁.Ho :DH₁:0(b) Determine the type of test statistic to use.(Choose one) ▼(c) Ft0/5Can we conclude, at the 0.01 level of significance, that µ₁, the meper unit for plants using electricity, differs from ₂, the mean counit for plants using gas?Chi-SquarePerform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimaand round your answers as specified in the table. (If necessary,a list of formulas.)AAExplanationCheckEvelyn Vtest statistic. (Round to three or more decimal places.)(d)Find the two critical values at the 0.01 level of significance. (Round to three ormore decimal places.)and(e) Can we conclude that the mean cost per unit for plants using electricity differsfrom the mean cost per unit for plants using gas?OYes O NoHXローロ 0OD O0XⒸ2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center

Given Information: First sample: Sample size n1=10 Sample mean x¯1=46.10 Sample standard deviation…

Answered: (a) State the null hypothesis H, and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

SLICE NAME Confidence Intervals and Hypothesis Testing TOPIC NAME Hypothesis test for the difference of population means: t test for populations with equal variances

=
O CONFIDENCE INTERVALS AND HYPOTHESIS...
Hypothesis test for the difference of...
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 10 plants
using electricity, which had a mean cost per unit of $46.10 and standard
deviation of $8.62, and 15 plants using gas, which had a mean of $44.40 and
standard deviation of $8.27.
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.
▬▬▬ 0/5
Can we conclude, at the 0.01 level of significance, that the mean cost
Piz
per unit for plants using electricity, differs from ₂, the mean cost per
unit for plants using gas?
Perform a two-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.)
(a) State the null hypothesis H, and the alternative hypothesis H₁.
H₂:0
H₁:0
(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.)
0
(d)
Find the two critical values at the 0.01 level of significance. (Round to three or
more decimal places.)
and
(e) Can we conclude that the mean cost per unit for plants using electricity differs
from the mean cost per unit for plants using gas?
OYes O No
μ
X
a
S
X
0#0 O<O
Р
0=0 OSO 020
ê
010
G
O>O
區
!
A

Done
O CONFIDENCE INTERVALS AND HYPOTHESIS.....
Hypothesis test for the difference.... ▬▬▬▬▬0/5
www-awu.aleks.com
Español
An industrial plant wants to determine which of two types of fu
electric or gas, is more cost efficient (measured in cost per unit
energy). Independent random samples were taken of plants us
electricity and plants using gas. These samples consisted of 10 p
using electricity, which had a mean cost per unit of $46.10 and sta
deviation of $8.62, and 15 plants using gas, which had a mean of
standard deviation of $8.27.
Assume that the populations of costs per unit are normally dist
for each type of fuel, and assume that the variances of these
populations are equal.
(a) State the null hypothesis H, and the alternative hypothesis H₁.
Ho :D
H₁:0
(b) Determine the type of test statistic to use.
(Choose one) ▼
(c) Ft
0/5
Can we conclude, at the 0.01 level of significance, that µ₁, the me
per unit for plants using electricity, differs from ₂, the mean co
unit for plants using gas?
Chi-Square
Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decima
and round your answers as specified in the table. (If necessary,
a list of formulas.)
AA
Explanation
Check
Evelyn V
test statistic. (Round to three or more decimal places.)
(d)
Find the two critical values at the 0.01 level of significance. (Round to three or
more decimal places.)
and
(e) Can we conclude that the mean cost per unit for plants using electricity differs
from the mean cost per unit for plants using gas?
OYes O No
H
X
ローロ 0
OD O
0
X
Ⓒ2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution