Consider the following hypotheses:

H₀: μ = 470
H_A: μ ≠ 470

The population is normally distributed with a population standarddeviation of 44. (You may find it useful to reference theappropriate table: z table or ttable)

a-1. Calculate the value of the test statisticwith x−x− = 483 and n = 65. (Round intermediatecalculations to at least 4 decimal places and final answer to 2decimal places.)
  
Test statistic = ?

a-2. What is the conclusion at the 10%significance level?
  

A) Do not reject H₀ since thep-value is greater than the significance level.

B) Do not reject H₀ since thep-value is less than the significance level.

C) Reject H₀ since the p-value isgreater than the significance level.

D) Reject H₀ since the p-value isless than the significance level.

a-3. Interpret the results at αα = 0.10.

A) We cannot conclude that the population mean differs from470.

B) We conclude that the population mean differs from 470.

C) We cannot conclude that the sample mean differs from 470.

D) We conclude that the sample mean differs from 470.

b-1. Calculate the value of the test statisticwith x−x− = 438 and n = 65. (Negative value shouldbe indicated by a minus sign. Round intermediate calculations to atleast 4 decimal places and final answer to 2 decimalplaces.)
  
Test statistic = ?

b-2. What is the conclusion at the 5% significancelevel?
  

A) Reject H₀ since the p-value isgreater than the significance level.

B) Reject H₀ since the p-value isless than the significance level.

C) Do not reject H₀ since thep-value is greater than the significance level.

D) Do not reject H₀ since thep-value is less than the significance level.

b-3. Interpret the results at αα = 0.05.

A) We conclude that the population mean differs from 470.

B) We cannot conclude that the population mean differs from470.

C) We conclude that the sample mean differs from 470.

D) We cannot conclude that the sample mean differs from 470.