Day Home (volts) Generator (volts) 1 123.8 124.6 2 123.9 124.6 3 123.3 125.4 4 1

Question

Day Home (volts) Generator (volts) 1 123.8 124.6 2 123.9 124.6 3 123.3 125.4 4 123.6 124.1 5 123.9 125.4 6 123.6 124.5 7 123.6 124.8 8 123.3 124.9 9 123.8 124.5 10 124 124.9 11 123.2 124.9 12 123.4 124.9 13 123.2 124.8 14 124 124.6 15 123.4 124.6 16 123.1 124 17 124.3 124.7 18 123.7 124.7 19 123.5 124.4 20 123.7 125 21 123.6 124.1 22 123.4 124.5 23 123.9 124.8 24 123.5 124.8 25 123.5 124.4 26 124 124.3 27 123.2 124.1 28 123.5 124.4 29 123.8 124.7 30 123.6 124.5 31 123.5 124.5 32 123 124.3 33 123.1 124.3 34 124 124.9 35 123.4 124.9 36 123.2 124 37 123 124.1 38 123.7 124.7 39 123.7 124.3 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 egual 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? EEB Click the icon to view the data for home voltages and generator voltages Let 1 be the population mean home voltage and let 2 be the population mean generator voltage. What are the null and alternative hypotheses? 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. | 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 statistically significant. If there is a statistically significant difference, does that difference have practical significance? 0 A. The sample means suggest that the difference does have practical significance. The generator could be used as a substitute when needed. O 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 0 D. The difference is not statistically significant.

Explanation / Answer

The statistical software output for this problem is:

Two sample T hypothesis test:
1 : Mean of Home (volts)
2 : Mean of Generator (volts)
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 0
(without pooled variances)

Hypothesis test results:

Hence,

Hypotheses: Option D is correct.

t = -14.033

P - value = 0.0000

Reject; is; is

Option C is correct.

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 -1.025 0.07304284 77.475212 -14.032861 <0.0001

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