answer please grade 11

SECTION: 4 Augustine write the letter of the correct answer on the space provided Assume that woman's heights are normally distributed with a mean given by a = 62 3 inches and a standard deviation a = 1.8 Inches, il a sample of 16 women is selected, what is the probability that the mean of the sample will be less than 63.2 Inches? A I. What is the population mean ? a. 62.3 b. 1.8 d. 16 A 2. What is the population standard deviation o $ a. 1.8 b. 62.3 C. 16 d. 632 A 3. What is the sample mean *? a. 632 b. 1.B C. 62.3 d. 16 A 4. What is the sample size n ? a. 16 b. 1.B C. 62.3 d. 63.2 A 5. What is asked in the problem? a. P(i 63.2) A 6. What is the formula to be used? b. 2= 7. Compute the z - value? Solution 0. 1 = 2 b. 2=-2 C. z=0 d. 2=1 20 60.4- 670 Z. 0-5 P( CL] ]) = P(24-0-5) 8. Shade the corresponding region. 9. Since we do not have z- table, what do you think will be the probably that the mean of the sample will be less than 63.2 inchesf (estimate) a. Greater than 50%% b. Less than 50%