Consider the data below of inches of rainfall per month for a region in the Northwestern United States: Plains
April 25.3
May 17.1
June 18.9
July 17.3
August 16.8
Using SPSS, find a 90% confidence interval for the average rainfall per month in this region. Be sure to set the test value to 0 if you have no specific value in mind and SPSS will find the confidence interval for how far off your mean is from 0. Using the formula from the Week 7 notes and hand calculations, how many months’ worth of data would we need to look at to be sure that our margin of error is less than 3 ??.?
SPSS output:
One-Sample Statistics | ||||||
N | Mean | Std. Deviation | Std. Error Mean | |||
VAR00001 | 5 | 19.0800 | 3.57099 | 1.59700 | ||
One-Sample Test | ||||||
Test Value = 0 | ||||||
t | df | Sig. (2-tailed) | Mean Difference | 90% Confidence Interval of the Difference | ||
Lower | Upper | |||||
VAR00001 | 11.947 | 4 | .000 | 19.08000 | 15.6754 | 22.4846 |
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