Reference no: EM132723024

Problem 1: The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0°C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings above 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information.

If 6.3% of the thermometers are rejected because they have readings that are too high and another 6.3% 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.

Option 1: -1.53° , 1.53°

Option 2: -1.45° , 1.45°

Option 3: -1.39° , 1.39°

Option 4: -1.46° , 1.46°

Problem 2: Find the indicated IQ score. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test).

The shaded area under the curve is 0.5675.

Option 1: 110.7

Option 2: 129.6

Option 3: 97.5

Option 4: 102.6