Consider the following hypotheses: H₀: = 120 H_A: 120 The population is normally distributed with a population standard deviation of 46. (You may find it useful to reference the appropriate table: z table or t table) a-1. Calculate the value of the test statistic with xx = 132 and n = 50. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

Test Statistic a-2. What is the conclusion at the 5% 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.
• 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.

a-3.Interpret the results at = 0.05.

• We conclude that the population mean differs from 120.
• We cannot conclude that the population mean differs from 120.
• We conclude that the sample mean differs from 120.
• We cannot conclude that the sample mean differs from 120. b-1. Calculate the value of the test statistic with xx = 108 and n = 50. (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.) Test Statistic b-2. What is the conclusion at the 10% 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.
• 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. b-3. Interpret the results at = 0.10.
• We conclude that the population mean differs from 120.
• We cannot conclude that the population mean differs from 120.
• We conclude that the sample mean differs from 120.
• We cannot conclude that the sample mean differs from 120.