Question 715549: In an article appearing in Today’s Health, a writer states that a single serving of popcorn has on average 75 calories. To determine if the average number of calories in a single serving of popcorn is different from 75, a nutritionist selects a random sample of 20 servings of popcorn and computes the sample mean number of calories to be 78 with a sample standard deviation of 7. Assume the caloric content of popcorn is normally distributed.
I need to compute the test value. I have looked in my book and can't find a similar problem to help me. Any help or show how to get it is greatly appreciated.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In an article appearing in Today’s Health, a writer states that a single serving of popcorn has on average 75 calories.
To determine if the average number of calories in a single serving of popcorn is different from 75, a nutritionist selects a random sample of 20 servings of popcorn and computes the sample mean number of calories to be 78 with a sample standard deviation of 7. Assume the caloric content of popcorn is normally distributed.
I need to compute the test value.
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sample mean = x-bar = 78
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test statistic: t(78) = (78-75)/(7/sqrt(20)) = 1.9166
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Cheers,
Stan H.
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