Question

13. Assume the readings on thermometers are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees C. Find the probability that a randomly selected thermometer reads between negative 1.78 and negative 1.01 and draw a sketch of the region.

The probability is____.

​(Round to four decimal places as​ needed.)

14. Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find Upper P 13​, the 13 th percentile. This is the bone density score separating the bottom 13 % from the top 87 %.

The bone density score corresponding to Upper P 13 is ______.

​(Round to two decimal places as​ needed.)

15. Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00 degrees C. Assume 3.2​% of the thermometers are rejected because they have readings that are too high and another 3.2​% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others.

The cutoff values are ____ degrees.

​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.)

16. Find the indicated critical value.

          Z 0.03=______

​(Round to two decimal places as​ needed.)

Answer 1