Question

In: Math

Use the Voltage data to test the claim that home voltages and generator voltages are from...

Use the Voltage data to test the claim that home voltages and generator voltages are from populations with the same mean.

  1. Create a histogram on the difference in voltage between home voltage and generator voltage. Copy and paste your histogram here.
  1. Does our assumption of normality appear to be satisfied?
    1. Yes
    2. No

  1. What is your null and alternative?
    1. H0: µ1 = µ2, H1: µ1 ≠ µ2
    2. H0: µ1 ≠ µ2, H1: µ1 = µ2
    3. H0: µ1 = µ2, H1: µ1 > µ2
    4. H0: µ1 > µ2, H1: µ1 = µ2
    5. None of the abov Provide your own answer.

  1. What is your decision?
    1. Support H1
    2. Cannot support H1
    3. Cannot make a decision at this time
    4. We do not have enough data to make an educated guess
    5. None of the abov Provide your own answer.

  1. What is your conclusion?
    1. We have sufficient evidence to show that the mean voltage is the same for home voltage and generator voltage.
    2. We do not have sufficient evidence to show that the mean voltage is the same for home voltage and generator voltage.
    3. We have sufficient evidence to show the mean voltage is the higher for home voltage than generator voltage.
    4. We do not have sufficient evidence to show that the mean voltage is the higher for home voltage than generator voltage.
    5. None of the abov Provide your own answer.
  1. Does the confidence interval support your conclusion?
    1. Yes
    2. No
    3. Cannot determine at this time
    4. None of the above. Provide your own answer.

  1. If there is a statically significant difference, does that difference have practical significance?
    1. Yes
    2. No

Home   Generator
123.8   124.8
123.9   124.3
123.9   125.2
123.3   124.5
123.4   125.1
123.3   124.8
123.3   125.1
123.6   125.0
123.5   124.8
123.5   124.7
123.5   124.5
123.7   125.2
123.6   124.4
123.7   124.7
123.9   124.9
124.0   124.5
124.2   124.8
123.9   124.8
123.8   124.5
123.8   124.6
124.0   125.0
123.9   124.7
123.6   124.9
123.5   124.9
123.4   124.7
123.4   124.2
123.4   124.7
123.4   124.8
123.3   124.4
123.3   124.6
123.5   124.4
123.6   124.0
123.8   124.7
123.9   124.4
123.9   124.6
123.8   124.6
123.9   124.6
123.7   124.8
123.8   124.3
123.8   124.0

Solutions

Expert Solution

Home Generator Difference
123.8 124.8 1
123.9 124.3 0.4
123.9 125.2 1.3
123.3 124.5 1.2
123.4 125.1 1.7
123.3 124.8 1.5
123.3 125.1 1.8
123.6 125 1.4
123.5 124.8 1.3
123.5 124.7 1.2
123.5 124.5 1
123.7 125.2 1.5
123.6 124.4 0.8
123.7 124.7 1
123.9 124.9 1
124 124.5 0.5
124.2 124.8 0.6
123.9 124.8 0.9
123.8 124.5 0.7
123.8 124.6 0.8
124 125 1
123.9 124.7 0.8
123.6 124.9 1.3
123.5 124.9 1.4
123.4 124.7 1.3
123.4 124.2 0.8
123.4 124.7 1.3
123.4 124.8 1.4
123.3 124.4 1.1
123.3 124.6 1.3
123.5 124.4 0.9
123.6 124 0.4
123.8 124.7 0.9
123.9 124.4 0.5
123.3 124.6 1.3
123.8 124.6 0.8
123.9 124.6 0.7
123.7 124.8 1.1
123.8 124.3 0.5
123.8 124 0.2

1)Histogram of difference

2) YES

Assumption of normality are satisfied

3)

The null and alternative hypothesis is

a) H0: µ1 = µ2, H1: µ1 ≠ µ2

4)


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