The mean temperature in New York City over last month was 81 degrees Fahrenheit with the standard deviation of 9. Assume that the distribution of NYC temperature is unimodal and symmetric.
a) Using the Empirical Rule, fill out the followings.
About 68% of the last month, the temperature in NYC was between ____ and ____
About 95% of the last month, the temperature in NYC was between ____ and ____
For almost all days in the last month, the temperature in NYC was between ____ and ____
b) If the temperature in NYC on a day was 81, would this be considered unusual? Explain.
Yes, 81 would be considered unusual because it falls within one standard deviation of the mean.
No, 81 would not be considered unusual because it falls within one standard deviation of the mean.
c) If the temperature in NYC on a day was 57, would this be considered unusual? Explain.
No, 57 would not be considered unusual because it is not more than two standard deviations from the mean.
Yes, 57 would be considered unusual because it is more than two standard deviations below the mean.