Consider the following hypotheses: H₀: 37.9 H_A:> 37.9 A sample of 31 observations yields a sample mean of 39.3. Assume that the sample is drawn from a normal population with a population standard deviation of 4.2.(You may find it useful to reference the appropriate table:z tableort table) a-1.Find thep-value.

multiple choice 1

• 0.05p-value < 0.10
• p-value0.10
• p-value < 0.01
• 0.01p-value < 0.025
• 0.025p-value < 0.05

a-2.What is the conclusion if= 0.01? multiple choice 2

• RejectH₀since thep-value is greater than.
• RejectH₀since thep-value is smaller than.
• Do not rejectH₀since thep-value is greater than.
• Do not rejectH₀since thep-value is smaller than.

a-3.Interpret the results at= 0.01. multiple choice 3

• We conclude that the sample mean is greater than 37.9.
• We cannot conclude that the sample mean is greater than 37.9.
• We conclude that the population mean is greater than 37.9.
• We cannot conclude that the population mean is greater than 37.9.

b-1.Calculate thep-value if the above sample mean was based on a sample of 110 observations. multiple choice 4

• p-value < 0.01
• 0.01p-value < 0.025
• 0.025p-value < 0.05
• 0.05p-value < 0.10
• p-value0.10

b-2.What is the conclusion if= 0.01? multiple choice 5

• RejectH₀since thep-value is smaller than.
• RejectH₀since thep-value is greater than.
• Do not rejectH₀since thep-value is smaller than.
• Do not rejectH₀since thep-value is greater than.

b-3.Interpret the results at= 0.01. multiple choice 6

• We conclude that the sample mean is greater than 37.9.
• We cannot conclude that the sample mean is greater than 37.9.
• We conclude that the population mean is greater than 37.9.
• We cannot conclude that the population mean is greater than 37.9.