Question: National Oceanic and Atmospheric Administration Environmental data service give the average daily temperature in July in a town. The temperature is distributed as normal distribution.

Temp [51,59) [59,67) [67, 75] [75,83) [83,91) [91,99)

Percent 2.35% 13.5% 34% 34% 13.5% 2.35

Observed 16 78 212 221 81 12

Use 1% level of significance to test the claim that the average daily temp follows a normal distribution.