4. Suppose you would like to keep a test tube at 48°F (exactly), but that your refrigeration unit exhibits some random fluctuations, so that the difference between the temperature at which you set the thermostat and the true temperature is distributed normally with mean 0 and variance 1.96. What is the highest you can set the thermostat and be 95% sure that the true temperature is no more than 48°? (Use Table 5.1 or the distributed table in class to get values for , so that the answers are more consistent.

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Table 5.1 is just the standard normal table for Z but rounded to 4 decimal places. Thank you!

4. Suppose you would like to keep a test tube at 48°F (exactly), but that your refrigeration unit exhibits some
random fluctuations, so that the difference between the temperature at which you set the thermostat and the
true temperature is distributed normally with mean 0 and variance 1.96. What is the highest you can set the
thermostat and be 95% sure that the true temperature is no more than 48°? (Use Table 5.1 or the distributed
table in class to get values for , so that the answers are more consistent.
Transcribed Image Text:4. Suppose you would like to keep a test tube at 48°F (exactly), but that your refrigeration unit exhibits some random fluctuations, so that the difference between the temperature at which you set the thermostat and the true temperature is distributed normally with mean 0 and variance 1.96. What is the highest you can set the thermostat and be 95% sure that the true temperature is no more than 48°? (Use Table 5.1 or the distributed table in class to get values for , so that the answers are more consistent.
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