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The temperature in degrees Fahrenheit at which a restaurant serves their coffee is normally distributed with...

The temperature in degrees Fahrenheit at which a restaurant serves their coffee is normally distributed with a known variance of 64. The restaurant claims they serve their coffee at a temperature no more than 165 degrees, any higher and the coffee would be too hot. A sample of 35 cups of coffee is collected and the mean temperature in the sample is found to be 168 degrees. Test the restaurant's claim versus the alternative hypothesis that the coffee is served too hot. Use a significance level of 0.6%.

Show ALL work. On your working draw a diagram to support your conclusion. Correct answers without working shown will not receive full credit. Note that writing Excel functions does NOT qualify as showing working.

Math   Statistics-And-Probability   
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