Question

The mean temperature for july in H-town 73 degrees fahrenheit. Assuming that the distribution of temperature is normal what would the standart deviation have to be if 5% of the days in july have a temperature of at least 87 degrees?

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Timmothy

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given
P(Z>z)=0.05
1-P(Z \sigma=\frac{\left(\overline{x}-\mu\right)}{z}
\sigma=\frac{\left(87-73\right)}{1.6449}=8.51
hence required standard deviation=8.51

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