Question

9-12 Consider the following hypotheses:

H₀: μ = 33
H_A: μ ≠ 33

The population is normally distributed. A sample produces the following observations: (You may find it useful to reference the appropriate table: z table or t table)

38	31	34	36	33	38	28

a. Find the mean and the standard deviation. (Round your answers to 2 decimal places.)

b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

c. Find the p-value.

• p-value  0.10
• 0.05  p-value < 0.10
• 0.02  p-value < 0.05
• 0.01  p-value < 0.02

• p-value < 0.01

d. At the 5% significance level, what is the conclusion?

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

• Reject H₀ since the p-value is smaller than α.

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

• Do not reject H₀ since the p-value is smaller than α.

e.  Interpret the results αα = 0.05.

• We conclude that the sample mean differs from 33.

• We cannot conclude that the population mean differs from 33.

• We conclude that the population mean differs from 33.

• We cannot conclude that the sample mean differs from 33.

Answer 1