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.
my answer .44 .
(b) Determine the value of the confidence coefficient z(á/2) for 1 - á = 0.91.
my answer 0.46.
For one tail, your answers look okay. For two tails, the values would be multiplied by 2.
So I used these answers .44 for the first one and it was wrong then I multiplied 0.46 and used 0.92 and that one was wrong. Any suggestions??
We have been at this question for three hours and each time we each come up with different answers...
To determine the value of the confidence coefficient z(á/2) for a given value of 1 - á, you need to use a standard normal distribution table or a calculator that can provide the values for the standard normal distribution.
(a) For 1 - á = 0.87, we need to find z(á/2).
Step 1: Find the value of á/2. Since 1 - á = 0.87, the value of á is 1 - 0.87 = 0.13. Divide this value by 2 to get á/2 = 0.13/2 = 0.065.
Step 2: Look for the corresponding value of z in the standard normal distribution table or use a calculator.
The standard normal distribution table provides the cumulative probabilities up to a certain z-value. Since we need to find the z-value corresponding to a specific cumulative probability, we first need to find the probability that corresponds to 0.065.
Using the standard normal distribution table, we find that the closest cumulative probability to 0.065 is 0.0655, which corresponds to a z-value of approximately -1.44.
Therefore, the value of the confidence coefficient z(á/2) for 1 - á = 0.87 is approximately -1.44.
(b) For 1 - á = 0.91, we follow the same steps as above:
Step 1: Find the value of á/2. Since 1 - á = 0.91, the value of á is 1 - 0.91 = 0.09. Divide this value by 2 to get á/2 = 0.09/2 = 0.045.
Step 2: Look for the corresponding value of z in the standard normal distribution table or use a calculator.
The closest cumulative probability to 0.045 is 0.0455, which corresponds to a z-value of approximately -1.70.
Therefore, the value of the confidence coefficient z(á/2) for 1 - á = 0.91 is approximately -1.70.
It seems like your answers (0.44 and 0.46) were not correct. Make sure to use the appropriate calculations and reference a standard normal distribution table or a calculator for accurate results.