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Let x be a random variable that represents the average daily temperature (in degrees Fahrenheit) in July in a town in Colorado. The x distribution
Let x be a random variable that represents the average daily temperature (in degrees Fahrenheit) in July in a town in Colorado. The x distribution has a mean of approximately 75F and standard deviation of approximately 8F. A 20-year study (620 July days) gave the entries in the rightmost column of the following table.
I | II | III | IV |
Region under Normal Curve | xF | Expected % from Normal Curve | Observed Number of Days in 20 Years |
3 x < 2 | 51 x < 59 | 2.35% | 15 |
2 x < | 59 x < 67 | 13.5% | 79 |
x < | 67 x < 75 | 34% | 217 |
x < + | 75 x < 83 | 34% | 224 |
+ x < + 2 | 83 x < 91 | 13.5% | 75 |
+ 2 x < + 3 | 91 x < 99 | 2.35% | 10 |
A) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
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