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The high temperatures (in degrees Fahrenheit) of a random sample of 15 small towns are as follows:

99.9, 98.8, 97.8, 96.4, 97.3, 97.2, 96.6, 99.6, 97, 96.3, 97.9, 99.4, 97.1, 96.8, 99.0.

Assume high temperatures are normally distributed. What statistical analysis can be conducted with this data?

Answer :

The high temperatures (in degrees Fahrenheit) of a random sample of 15 small towns are 99.9, 98.8, 97.8, 96.4, 97.3, 97.2, 96.6, 99.6, 97, 96.3, 97.9, 99.4, 97.1, 96.8, and 99. The question asks to find the mean of the high temperatures. The mean high temperature is 97.986°F.

To calculate the mean high temperature, we sum up all the temperatures and divide by the total number of towns.

Step 1: Sum all the temperatures:

99.9 + 98.8 + 97.8 + 96.4 + 97.3 + 97.2 + 96.6 + 99.6 + 97 + 96.3 + 97.9 + 99.4 + 97.1 + 96.8 + 99 = 1479.79°F.

Step 2: Calculate the mean:

Mean = Sum of temperatures / Number of towns

Mean = 1479.79°F / 15 = 97.986°F.

Therefore, the mean high temperature of the random sample of 15 small towns is 97.986°F.

The mean represents the central tendency of the data set, indicating the average temperature across the sampled towns. In this case, it serves as a representative value for the high temperatures of these small towns. Calculating the mean allows us to understand the typical temperature experienced in these areas.

Therefore, the mean high temperature of the random sample of 15 small towns is 97.986°F.

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