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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? E Click the icon to view the data for home voltages and generator voltages. Let u, be the population mean home voltage and let u, be the population mean generator voltage. What are the null and alternative hypotheses? OA. H

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? E Click the icon to view the data for home voltages and generator voltages. Let u, be the population mean home voltage and let u, be the population mean generator voltage. What are the null and alternative hypotheses? OA. H

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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?
Data for Home Voltages and Generator Voltages Day Home (volts) Generator (volts) 123.5 Complete data set Day Home (volts) Generator (volts) 124.4 1 124.8 21 123.3 2 123.5 124.4 22 123.3 124.3 124.3 123.5 124.5 23 123.8 4 123.1 124.1 123.8 124.1 123.5 124.5 25 123.9 124.4 123.8 124.1 26 123.6 124.2 7 123.4 125.3 27 123.2 124.2 8 123.9 124.8 28 123.4 124.7 123.5 124.7 29 123.9 124.4 10 124.0 124.2 30 123.6 124.7 11 123.2 124.2 125.2 124.7 124.2 31 123.1 124.4 12 123.6 32 123.8 124.7 13 123.0 33 123.3 124.3 14 123.0 34 123.7 124.5 15 123.7 124.9 35 123.9 124.2 16 123.4 124.5 36 123.3 124.2 17 123.8 124.0 37 123.3 124.2 18 123.2 124.0 38 123.2 124.3 123.5 123.6 19 124.9 39 123.5 124.8 20 124.9 40 123.1 124.5 NmTt LO (O
Transcribed Image Text:Data for Home Voltages and Generator Voltages Day Home (volts) Generator (volts) 123.5 Complete data set Day Home (volts) Generator (volts) 124.4 1 124.8 21 123.3 2 123.5 124.4 22 123.3 124.3 124.3 123.5 124.5 23 123.8 4 123.1 124.1 123.8 124.1 123.5 124.5 25 123.9 124.4 123.8 124.1 26 123.6 124.2 7 123.4 125.3 27 123.2 124.2 8 123.9 124.8 28 123.4 124.7 123.5 124.7 29 123.9 124.4 10 124.0 124.2 30 123.6 124.7 11 123.2 124.2 125.2 124.7 124.2 31 123.1 124.4 12 123.6 32 123.8 124.7 13 123.0 33 123.3 124.3 14 123.0 34 123.7 124.5 15 123.7 124.9 35 123.9 124.2 16 123.4 124.5 36 123.3 124.2 17 123.8 124.0 37 123.3 124.2 18 123.2 124.0 38 123.2 124.3 123.5 123.6 19 124.9 39 123.5 124.8 20 124.9 40 123.1 124.5 NmTt LO (O
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? E Click the icon to view the data for home voltages and generator voltages. Let u, be the population mean home voltage and let u, be the population mean generator voltage. What are the null and alternative hypotheses? O A. Ho H1<H2 H,: H, = H2 O B. Ho: H1= H2 H;: H, > H2 OC. Ho H1 H2 O D. Ho: 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. 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? O A. The sample means suggest that the difference does not have practical significance. The generator could be used as a substitute when needed. O B. The sample means suggest that the difference does not have practical significance. The generator could not be used as a substitute when needed. O C. The sample means suggest that the difference does have practical significance. The generator could not be used as a substitute when needed. O D. The difference is not statistically significant.
Transcribed Image Text: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? E Click the icon to view the data for home voltages and generator voltages. Let u, be the population mean home voltage and let u, be the population mean generator voltage. What are the null and alternative hypotheses? O A. Ho H1<H2 H,: H, = H2 O B. Ho: H1= H2 H;: H, > H2 OC. Ho H1 H2 O D. Ho: 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. 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? O A. The sample means suggest that the difference does not have practical significance. The generator could be used as a substitute when needed. O B. The sample means suggest that the difference does not have practical significance. The generator could not be used as a substitute when needed. O C. The sample means suggest that the difference does have practical significance. The generator could not be used as a substitute when needed. O D. The difference is not statistically significant.
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