specified to be normally distributed with a mean of 10,000 ohms and a standard deviation of 500 ohms, at a temperature of 25°C. Thus, only about 2.3% of these thermistors should produce resistances in excess of 11,000 ohms. The exact measurement of resistances produced is time-consuming, but it is easy to determine whether the resistance is larger than a specified value (say, 11,000). For 100 ther- mistors tested, 5 showed resistances in excess of 11,000 ohms. Do you think the thermistors from which this sample was selected fail to meet the specifications? Why or why not?

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10.34 The resistances of a certain type of thermistor are
specified to be normally distributed with a mean of
10,000 ohms and a standard deviation of 500 ohms,
at a temperature of 25°C. Thus, only about 2.3% of
these thermistors should produce resistances in
excess of 11,000 ohms. The exact measurement of
resistances produced is time-consuming, but it is
easy to determine whether the resistance is larger
than a specified value (say, 11,000). For 100 ther-
mistors tested, 5 showed resistances in excess of
11,000 ohms. Do you think the thermistors from
which this sample was selected fail to meet the
specifications? Why or why not?
Transcribed Image Text:10.34 The resistances of a certain type of thermistor are specified to be normally distributed with a mean of 10,000 ohms and a standard deviation of 500 ohms, at a temperature of 25°C. Thus, only about 2.3% of these thermistors should produce resistances in excess of 11,000 ohms. The exact measurement of resistances produced is time-consuming, but it is easy to determine whether the resistance is larger than a specified value (say, 11,000). For 100 ther- mistors tested, 5 showed resistances in excess of 11,000 ohms. Do you think the thermistors from which this sample was selected fail to meet the specifications? Why or why not?
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