Find the z value depicted.

formula sheet – Test 3.docx

A given population has a mean of 268 with a standard deviation of 17.  A sample of 64 items is selected from this population.   [a] What is the standard deviation for the sampling distribution of sample means? Round to 2 decimal places [b] What is the mean of the sampling distribution? [c] What is the probability that a random sample of size 64 has a mean that is less than 272?

The average height of chipmunks is 5.27 inches with a standard deviation of 0.64 inches. Theodore takes a sample of 64 chipmunks and measures their height.  Was is the probability that the sample has an average (mean) height that is more than 5.5 inches tall?  

Find the area to the right of z= -1.35  

Find the area between z= -2.49  and z=1.53

Find the z-score that corresponds to the 75th Percentile (P75). Select the z-value that is closest if there is not one that exactly matches 75 percent.  

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The average high temperature for a certain day is 74.5 degrees F with a standard deviation of 3.1 degrees F. Assuming a normal distribution, find the probability that the high temperature on this day will be between 71.5 and 81.4 degrees F. P(71.5

What is the z-value associated with x=81   if the mean is 87 and the standard deviation is 4.7? Round to two decimal places.