Statistics and Probability Q4W2 Evaluation

1. 1. The production manager of the call center Task Us estimates that the mean age of the employees is 22.8 years. State the alternative hypothesis.

• a. Ha: the mean age of the employees is 22.8 years

• b. Ha: the mean age of the employees is not 22.8 years

• c. Ho: the mean age of the employees is 22.8 years

• d. Ho: the mean age of the employees is not 22.8 years

2. 2. The production manager of the call center Task Us estimates that the mean age of the employees is 22.8 years with 0.01 level of significance, find the type of test and critical value.

• 2. a. Left-tailed Test, α = 0.01

• 2. b. Right-tailed Test, α = 0.01

• 2. c. Two-tailed Test, α = 0.01

• 2. d. One-tailed Test, α = 0.01

3. In a test of hypothesis about the mean, the critical value for α = 0.05 in a two-tailed test is 1.96. the resulting test statistic value from the sample data is -1.75. which is the correct decision to make based on the given information?

• a. Reject the null hypothesis.

• b. Do not reject the null hypothesis.

• c. Change the alternative hypothesis.

• d. Redefine the hypothesis.

4. In a two-tailed hypothesis about a population mean with a random sample of size 150 and a 0.05 level of significance, which of the following describes the appropriate critical region?

• a. ±2.58

• b. ±1.69

• c. ±1.96

• d. ±1.65

5. Solve for the z-statistic when x̄ = 26.2, µ = 22.8, n = 70, σ = 4.6.

• a. 6.18

• b. 3.41

• c. -3.41

• d. -6.18