Question

Consider the following hypotheses:

H₀: μ ≥ 160
H_A: μ < 160

The population is normally distributed. A sample produces the following observations:

152	138	151	144	151	142

Conduct the test at the 1% level of significance. (You may find it useful to reference the appropriate table: z table or t table)

a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

b. Find the p-value.

• p-value < 0.01

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

c. What is the conclusion?

• Do not reject H₀ since the p-value is less than the significance level.

• Do not reject H₀ since the p-value is greater than the significance level.

• Reject H₀ since the p-value is less than the significance level.

• Reject H₀ since the p-value is greater than the significance level.

d. Interpret the results  α = 0.01.

• We cannot conclude that the population mean is less than 160.

• We conclude that the population mean is less than 160.

• We cannot conclude that the population mean is greater than 160.

• We conclude that the population mean is greater than 160.

Answer 1