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.
.44 my answer
(b) Determine the value of the confidence coefficient z(á/2) for 1 - á = 0.91.
.45 my answer
To late to get any help, But thanks
To determine the value of the confidence coefficient z(á/2) for a given confidence level (1 - á), we need to use a standard normal distribution table or a calculator that provides z-scores.
(a) For 1 - á = 0.87, the corresponding confidence level (á) can be calculated by subtracting the given value from 1: á = 1 - 0.87 = 0.13.
Now, to find the value of z(á/2), we divide the desired confidence level by 2: á/2 = 0.13/2 = 0.065.
To find the z-score for a 2-tailed test, where the area under the standard normal curve is distributed evenly on both sides, we look for the corresponding value in the z-table. This z-score will give us the confidence coefficient.
Using the z-table or calculator, we look for the value closest to 0.065 in the z-table's body or upper tail, depending on the table's format.
Based on your input, you provided a value of 0.44 for z(á/2). However, that is not correct. The correct value can be obtained by using the standard normal distribution table or a calculator.
(b) For 1 - á = 0.91, following the same steps as above, we find that á = 1 - 0.91 = 0.09.
Next, we calculate á/2: 0.09/2 = 0.045.
Using the z-table or calculator, we look for the value closest to 0.045 in the z-table's body or upper tail. The corresponding value is the confidence coefficient z(á/2).
Therefore, your answer of 0.45 for z(á/2) in this case is correct.