Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal Refer to the accompanying data set. Use a 0.05 significance level to test the claim that the sample of home voltages and the sample of generator voltages are from populations with the same mean. If there is a statistically significant difference, does that difference have practical significance? Click the icon to view the data for home voltages and generator voltages. C Let , be the population mean home voltage and let µ₂ be the population mean generator voltage. What are the null and alternative hypotheses? OA. Ho H₁ H2 OB. Ho H₁ P2 H₁ H₁ H₂ H₁ H = H₂ OD. H₂ H₁ H₁ H₁ H₂ OC. Ho H₁ = H2 H₂ Hy Hy> H₂ Calculate the test statistic t= (Round to three decimal places as needed) Find the P-value P-value= (Round to four decimal places as needed) statistically significant Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim Ho There sufficient evidence to warrant rejection of the claim that the sample of home voltages and the sample of generator voltages are from populations with the same mean. The difference If there is a statistically significant difference, does that difference have practical significance? QA The sample means suggest that the difference does not have practical significance The generator could not be used as a substitute when needed. Next

Here we've to test that if there is a statistical significant difference between means. So H0:…

Answered: Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard…

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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Question

The data table is in the pic

Options for the last part are:

A = (in pic)

B = the sample means suggest that the difference does have practical significance. the generator could not be used as a substitute when needed.

C = The sample means suggest that the difference does not have practical significance. the generator could be used as a substitute when needed.

D= the difference is not statistically significant

Please help.

Thanks so much. :)

fi
- X
Data for Home Voltages and Generator Voltages
Complete data set
Day Home (volts) Generator (volts) Day Home (volts) Generator (volts)
1
123.2
124.4
21
123.5
124.0
2
123.7
124.3
22
123.4
124.5
3
123.8
125.2
23
123.4
124.4
4
123.2
124.0
24
123.7
124.8
5
123.1
124.9
25
123.4
124.3
6
123.2
124.3
26
123.3
124.7
7
123.0
125.4
27
123.4
124.6
8
123.1
124.5
28
123.6
124.3
9
123.5
125.0
29
123.5
124.0
10
123.7
124.7
30
123.6
124.6
11
123.2
124.8
31
123.9
124.3
12
123.4
124.8
32
123.2
124.9
13
123.3
124.1
33
123.8
124.6
14
123.2
124.7
34
123.9
124.2
15
123.3
124.8
35
123.4
124.0
16
124.0
124.9
36
123.0
125.0
17
124.4
124.4
37
123.3
124.7
18
123.5
124.6
38
123.3
124.6
19
123.3
124.9
39
123.2
124.1
20
123.5
124.7
40
123.3
124.3

Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.
Refer to the accompanying data set. Use a 0.05 significance level to test the claim that the sample of home voltages and the sample of generator voltages are from populations with the same mean. If there is a statistically significant difference, does that
difference have practical significance?
Click the icon to view the data for home voltages and generator voltages.
Let µ, be the population mean home voltage and let μ₂ be the population mean generator voltage. What are the null and alternative hypotheses?
OA. Ho H1 <H₂
B. Ho H₁ H₂
H₁: M₁ = H₂
H₁ H₁ = H₂
OC. Ho H1 H2
D. Ho: M1 = 2
H₁: Hy > H₂
H₁ H1 H₂
Calculate the test statistic.
t= (Round to three decimal places as needed.)
Find the P-value.
P-value = (Round to four decimal places as needed.)
Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim.
statistically significant
Ho. There
sufficient evidence to warrant rejection of the claim that the sample of home voltages and the sample of generator voltages are from populations with the same mean. The difference
If there is a statistically significant difference, does that difference have practical significance?
OA. The sample means suggest that the difference does not have practical significance. The generator could not be used as a substitute when needed.
Next

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 + ...

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