Exercise 10-3 Static

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) H₀: _{1 2} = 0 H_A: _{1 2} 0

x1x1 = 57	x2x2 = 63
1 = 11.5	2 = 15.2
n1 = 20	n2 = 20

a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.)

a-2. Find the p-value. multiple choice 1

• p-value < 0.01
• 0.01 p-value < 0.025
• 0.025 p-value < 0.05
• 0.05 p-value < 0.10
• p-value 0.10

a-3. Do you reject the null hypothesis at the 5% significance level? multiple choice 2

• Yes, since the p-value is less than .
• No, since the p-value is less than .
• Yes, since the p-value is more than .
• No, since the p-value is more than .

a-4. Interpret the results at = 0.05. multiple choice 3

• We conclude that the population means differ.
• We cannot conclude that the population means differ.
• We conclude that population mean 2 is greater than population mean 1.
• We cannot conclude that population mean 2 is greater than population mean 1.