Assume that the readings on the thermometers are normally distributed with a mea

Question

Assume that the readings on the thermometers are normally distributed with a mean of 0 and standard deviation of 1.00°C. Assume 2.2% of the thermometers are rejected because they have readings that are too high and another 2.2% 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 Which graph represents the region in which thermometers are rejected? Choose the comect graph below. O A. O c. O D. The cutoff values are degrees. (Use a comma to separate answers as needed. Round to two decimal places as needed.)

Explanation / Answer

The correct answer is A as it represents the problem statement correctly

We need to find the values within the confidence interval 1-2*2.2%=0.956 or 95.6%

thus for 95.6% the z value can be caculated as we will do for (1-0.965)/2 +0.956 =0.9735

which from normal distribution table is 1.93

thus lower bound is -1.93 and upper bound is +1.93

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