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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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