the precision scientific instrument company manufacturers th
the precision scientific instrument company manufacturers thermometers that are supposed to give readings of 0 at the freezing point of water. tests on a large sample of these instruments reveal that at the freezing point of water, some thermometers give readings below 0. assume that the readings are normally distributed. what are the temperatures separating the bottom 2.5% and the top 2.5%
the precision scientific instrument company manufacturers thermometers that are supposed to give readings of 0 at the freezing point of water. tests on a large sample of these instruments reveal that at the freezing point of water, some thermometers give readings below 0. assume that the readings are normally distributed. what are the temperatures separating the bottom 2.5% and the top 2.5%
the precision scientific instrument company manufacturers thermometers that are supposed to give readings of 0 at the freezing point of water. tests on a large sample of these instruments reveal that at the freezing point of water, some thermometers give readings below 0. assume that the readings are normally distributed. what are the temperatures separating the bottom 2.5% and the top 2.5%
Solution
Assume that the mean reading is 0ºC and the standard deviation of the readings is 1.00ºC. Also assume that
the readings are normally distributed.
Interpretation. When tested at freezing, 2.5% of the thermometer readings will be equal to or less than –1.96°C, and another 2.5% of the thermometer readings will be equal to or greater than 1.96°C. Another interpretations is that 95% of all thermometer readings will be between –1.96°C and 1.96°C, at freezing point.
z = –1.96 °C, 1.96 °C
