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lutik1710 [3]
2 years ago
7

In an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75. To

determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7. Compute the z or t value of the sample test statistic.
Mathematics
1 answer:
Klio2033 [76]2 years ago
4 0

Answer: 1.9166

Step-by-step explanation:

Let \mu be the population mean.

By considering the given description, we have

\mu=75

n=20

\overline{x}=78

s=7

Since, the population standard deviation is  unknown , so we use t-test.

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

i.e . t=\dfrac{78-75}{\dfrac{7}{\sqrt{20}}}=1.916629695

\approx1.9166  [Rounded to four decimal places.]

Hence, the value of the t-test statistic : 1.9166

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