Find the indicated z score. The graph depicts the standard distribution with a mean 0 and standard deviation 1.
0.945 My answer is 1.6901 but I am not sure if it is correct.
.9452 close to .945
Z = 1.60
To find the indicated z score, we need to determine the value on the standard normal distribution that corresponds to the given cumulative probability.
You mentioned that the cumulative probability given is 0.945. This means that we need to find the z-score corresponding to a cumulative probability of 0.945.
To find the z-score, we can use a standard normal distribution table or a statistical calculator. A standard normal distribution table provides values for cumulative probabilities up to a certain decimal place.
Using a standard normal distribution table, we can look for the closest cumulative probability value to 0.945. In this case, the closest value we have is 0.9441, which corresponds to a z-score of approximately 1.69.
Therefore, your answer of 1.6901 is correct.
Keep in mind that the accuracy of the answer depends on the precision of the standard normal distribution table or calculator you are using.
To find the indicated z-score, you can use a standard normal distribution table or a calculator. However, a z-score of 0.945 will not be exactly 1.6901.
Using a standard normal distribution table, you can find that the z-score closest to 0.945 is approximately 1.64. This means that approximately 94.5% of the data falls below this z-score.
If you are using a calculator, you can directly input 0.945 into the normal distribution function with a mean of 0 and a standard deviation of 1 to find the corresponding z-score.
Therefore, the correct answer should be approximately 1.64, not 1.6901.