### Question details

Probability Exercise
\$ 30.00

Probability Exercise

Maximum and Minimum Temperatures

Search the Internet for U.S. climate data.

Choose the city in which you live.

Create a tab that reads Daily.

1.         Prepare a spreadsheet with three columns:  Date, High Temperature, and Low Temperature.  List the past 60 days for which data is available. Include the excel spreadsheet as a part of your submission.

2.         Prepare a histogram for the data on high temperatures and comment on the shape of the distribution as observed from these graphs.

3.         Calculate X bar (sample mean) and S (sample standard deviation).

4.         What percentage of the high temperatures are within the interval

X bar - s to X bar + s?

What percentage would you expect?  Why?

5.         What percentage of the high temperatures are within the interval

X bar - 2s to X bar + 2s?

What percentage would you expect?  Why?

6.         How do these percentages compare to the corresponding percentages for a normal distribution?

7.         Prepare a histogram for the data on low temperatures and comment on the shape of the distribution as observed from these graphs.

8.         Calculate  X bar (sample mean) and S (sample standard deviation).

9.         What percentage of the low temperatures are within the interval

X bar - s to X bar + s?

What percentage would you expect?  Why?

10.       What percentage of the low temperatures are within the interval

X bar - 2s to X bar + 2s?

What percentage would you expect?  Why?

11.       How do these percentages compare to the corresponding percentages for a normal distribution?

12.       Would you conclude that the two distributions are normally distributed?  Why or why not?