Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed p

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Consider The Following Competing Hypotheses And Accompanying Sample Data Drawn Independently From Normally Distributed P 1 (76.29 KiB) Viewed 27 times

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 t table) HO: μ1 HA: M1 - M2 = 0 M2 < 0 X1 = 251 S1 = 39 n1 = 7 X2 = 252 $2 = 19 n2 = 7 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 -0.061

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. No, 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. 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 b-2. Find the p-value. -0.061 p-value < 0.01 O 0.01 ≤ p-value < 0.025 O 0.025 ≤ p-value < 0.05 O 0.05 ≤ p-value < 0.10 O p-value ≥ 0.10

b-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 greater than the significance level. Yes, since the value of the p-value is greater than the significance level. 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. O We cannot conclude that population mean 1 is less than population mean 2.