Submit Quiz fion: 2 pts 8 of 15 This Quiz: 25 pts possible Assume that the readi

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Submit Quiz fion: 2 pts 8 of 15 This Quiz: 25 pts possible Assume that the readings on the thermometer thermometers are rejected because they have readings that are too high and another 2.7% are rejected because they ha ketch and find the two readings that are cutoff values separating the rejected thermometers from the others Click to view page 1 of the table. Click to view page 2 of the table s are normally distributed with a mean of 00 and standard deviation of 1.00°C. Assume 2.7% of the ve readings that are too low. Draw a The cutoff values aredegrees. (Use a comma to separate answers as needed. Round to two decimal places as needed.) Click to select your answer(s) Save for Later te O Type here to search

Explanation / Answer

Let x = Readings of the thermometers

Given that x is Normally distributed with mean 0 and Standard deviation 1

Assume that 2.7 % of the thermometers are rejected beacause they have readings that are too high and 2.7 % of the thermometers are rejected beacause they have readings that are too low.

Note that the total area under the curve is equal to 1

Area to the left of -Zc is 0.027

Area to the lright of Zc is 0.027

Middle part of the curve contains the area = 1 - ( 0.027 + 0.027 ) = 0.946

By using standard normal table we can calculate the Critical value correspondins to the area 0.027

Find this probability in the inner part of the table we get the cutoff point as

We get Zc = -1.93 and Zc = 1.93

OR By using excel command =NORMSINV(probability)

=NORMSINV(0.027)

= - 1.93

We get - Zc = -1.93 and Zc = 1.93

( Because standard normal curve is symmetric )

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