Assume that the readings at freezing on a batch of thermometers are normally dis

Question

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested.

If 4% of the thermometers are rejected because they have readings that are too high and another 4% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others.

interval of acceptable thermometer readings = °C

Explanation / Answer

Here 4% of the thermometers are rejected because they have readings that are too high and another 4% are rejected because they have readings that are too low. That means confidence interval is of 100 - 4 - 4 = 92%.

so THe 92% confidence interval = +- Z92%

Here value for Z for 92% confidence interval is +- 1.75

= 0 +- 1.75 (1) = (-1.75°C , 1.75 °C)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.