Consider the following. (Give your answers correct to two decimal places.)
(a) Determine the value of the confidence coefficient z(á/2) for 1 - á = 0.87.
(b) Determine the value of the confidence coefficient z(á/2) for 1 - á = 0.91.
can someone just work one of these and I will do the other by looking at example
Sure! I can help you with the first question.
To determine the value of the confidence coefficient z(á/2) for 1 - á = 0.87, we need to find the corresponding z-value from the standard normal distribution table.
Step 1: Find the value for α/2. Since 1 - α = 0.87, we need to solve for α first. Subtracting 0.87 from 1 gives us α = 0.13. Then, dividing α by 2, we get α/2 = 0.065.
Step 2: Locate the closest probability value to 0.065 in the body of the standard normal distribution table. Usually, the table provides probabilities up to two decimal places. We can look for the closest value of 0.065. In this case, the closest value we find in the table is 0.0655 at the intersection of the row labeled 0.0 and the column labeled 0.06.
Step 3: Determine the corresponding z-value. The table usually provides the corresponding z-value at the intersection of the row and column. In this case, the z-value is 1.44.
Therefore, the value of the confidence coefficient z(á/2) for 1 - á = 0.87 is 1.44 (correct to two decimal places).
Now, you can follow the same steps to solve the second question: Determine the value of the confidence coefficient z(á/2) for 1 - á = 0.91.