Question

Assume that the readings on the thermometers are normally distributed with a mean of O and standard deviation of 100'C. Assume 23% of the thermometers are rejected because they have readings that are too high and another 28% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff valves separating the rejected thermometers from the others Click to view the table. Click to view of the table Which graph represents the region in which thermometers are rejected? Choose the correct below OB Ос The colle (Use a comento separe was needed Rourd to two decimal places needed)

Answer 1

(a)

Correct option :  

Graph D

Explanation:

Graph D contains both rejection regions: on the low side and on the high side.

(b)

Low side:

Rejection Region correspons to Cumulative area = 2.8/100 = 0.028

By Technology, Z score corresponding to Cumulative area = 0.028 is given by Z = - 1.91

(b)

High side:

Rejection Region correspons to Cumulative area = 1 - 0.028 = 0.972

By Technology, Z score corresponding to Cumulative area = 0.972 is given by Z = 1.91

So,

the cutoff values are: - 1.91, 1.91