Consider the following hypotheses: H₀: 79.0 H_A:> 79.0 A sample of 45 observations yields a sample mean of 80.0. Assume that the sample is drawn from a normal population with a population standard deviation of 5.1.(You may find it useful to reference the appropriate table:z tableort table) a-1.Find thep-value.

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

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

• 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.

• We conclude that the sample mean is greater than 79.
• We cannot conclude that the sample mean is greater than 79.
• We conclude that the population mean is greater than 79.
• We cannot conclude that the population mean is greater than 79.

b-1.Calculate thep-value if the above sample mean was based on a sample of 105 observations.

• 0.01 p-value < 0.025
• 0.025 p-value < 0.05
• 0.05 p-value < 0.10
• p-value 0.10
• p-value < 0.01 b-2.What is the conclusion if= 0.01?
• Do not rejectH₀since thep-value is greater than.
• Do not rejectH₀since thep-value is smaller than.
• RejectH₀since thep-value is greater than.
• RejectH₀since thep-value is smaller than.

b-3.Interpret the results at= 0.01.

• We cannot conclude that the sample mean is greater than 79.
• We conclude that the sample mean is greater than 79.
• We cannot conclude that the population mean is greater than 79.
• We conclude that the population mean is greater than 79.