Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You...

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Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or table) 01-20 RA: #1-#2 <0 X)=245 1-27 01-5 -247 2-16 02-5 a-1. Calculate the value of the test statistic under the assumption that the population variances are equal. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) Test statistic a-2. Find the p-value. O p-value < 0.01 0.01 s p-value <0.025 O 0.025 s p-value <0.05 O0.05 s p-value <0.10 Op-value 20.10 a-3. Do you reject the null hypothesis at the 1% level? Yes, since the value of the p-value is less than the significance level. O No, since the value of the p-value is less than the significance level. O No, since the value of the p-value is greater than the significance level. O Yes, since the value of the p-value is greater than the significance level. a-4. Interpret the results at a = 0.01. We conclude that the population means differ. We cannot conclude that the population means differ. We conclude that population mean 1 is less than population mean 2. We cannot conclude that population mean 1 is less than population mean 2. b-1. Calculate the value of the test statistic under the assumption that the population variances are unknown and are not equal. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) Test statistic < Prev 2 of 12 Next > b-2. Find the p-value. O p-value < 0.01 O 0.01 p-value < 0.025 O 0.025 s p-value < 0.05 O 0.05 s p-value <0.10 Op-value 20.10 b-3. Do you reject the null hypothesis at the 1% level? O Yes, since the value of the p-value is less than the significance level. No, since the value of the p-value is greater than the significance level. O Yes, since the value of the p-value is greater than the significance level. O No, since the value of the p-value is less than the significance level. b-4. Interpret the results at a = 0.01. We conclude that the population means differ. We cannot conclude that the population means differ. We conclude that population mean 1 is less than population mean 2. We cannot conclude that population mean 1 is less than population mean 2. Prev 2 of 12 Next > Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or table) 01-20 RA: #1-#2 <0 X)=245 1-27 01-5 -247 2-16 02-5 a-1. Calculate the value of the test statistic under the assumption that the population variances are equal. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) Test statistic a-2. Find the p-value. O p-value < 0.01 0.01 s p-value <0.025 O 0.025 s p-value <0.05 O0.05 s p-value <0.10 Op-value 20.10 a-3. Do you reject the null hypothesis at the 1% level? Yes, since the value of the p-value is less than the significance level. O No, since the value of the p-value is less than the significance level. O No, since the value of the p-value is greater than the significance level. O Yes, since the value of the p-value is greater than the significance level. a-4. Interpret the results at a = 0.01. We conclude that the population means differ. We cannot conclude that the population means differ. We conclude that population mean 1 is less than population mean 2. We cannot conclude that population mean 1 is less than population mean 2. b-1. Calculate the value of the test statistic under the assumption that the population variances are unknown and are not equal. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) Test statistic < Prev 2 of 12 Next > b-2. Find the p-value. O p-value < 0.01 O 0.01 p-value < 0.025 O 0.025 s p-value < 0.05 O 0.05 s p-value <0.10 Op-value 20.10 b-3. Do you reject the null hypothesis at the 1% level? O Yes, since the value of the p-value is less than the significance level. No, since the value of the p-value is greater than the significance level. O Yes, since the value of the p-value is greater than the significance level. O No, since the value of the p-value is less than the significance level. b-4. Interpret the results at a = 0.01. We conclude that the population means differ. We cannot conclude that the population means differ. We conclude that population mean 1 is less than population mean 2. We cannot conclude that population mean 1 is less than population mean 2. Prev 2 of 12 Next >