a mathxl.com This Question: 1 pt 12 of 13 (10 complete) ? This Quiz: 13 pts poss

Question

a mathxl.com This Question: 1 pt 12 of 13 (10 complete) ? This Quiz: 13 pts possible Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00 C. Assume 28% of the thermometers are rejected because they have readings that are too high and another 2.8% are rejected because they have readings that are too low. Draw a sketch and find the wo readings that are cutoff values separating the rejected thermometers from the others OB. O C. O D. ???? The cutoff values are ? degrees. (Use a comma to separate answers as needed. Round to two decimal places as needed.) Click to select your answerls).

Explanation / Answer

Ans:

mean=0

standard deviation=1

we have standard normal distribution.

For too high readings:

P(Z>z)=0.028

P(Z<=z)=1-0.028=0.972

z=normsinv(0.972)=1.91

For too low readings:

P(Z<=z)=0.028

z=normsinv(0.028)=-1.91

cut off values are -1.91 and 1.91

Option D is correct(shaded area between -1.91 and 1.91 are acceppted thermomteres and unshaded region is rejected one)

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