A. Dr. Paleo Lithic claims that the average number of calories in a serving of p

Question

A. Dr. Paleo Lithic claims that the average number of calories in a serving of popcorn is 75 with a standard deviation of 7. A sample of 50 servings of popcorn yields an average of 78 calories. At = .05, is this difference significant?

Calculate the test statistic.

B. According to Indeed.com, the average annual salary for a sous chef is $46,000. A marketing firm claims that a sous chef in Denver makes more than average. In a random sample of 45 sous chefs in Denver, their average salary was $46,500 with a standard deviation of $1,800. At alpha=.05, is this difference significant?

Calculate the test statistic.

Explanation / Answer

YOU HAVE ASKED TWO DIFFERENT QUESTION

I WILL GIVE YOU SOLUTION OF 1ST

TEST STATIC = ( X - MEAN)/ (STANDARD DEVIATION / SQRT(N))

HERE X = 78

N = 50

STANDARD DEVIATION = 7

MEAN = 75

TEST STATIC = (78 - 75)/(7/SQRT(70)) = 3.06

DEGREE OF FREEDOM = 50 -1 = 49

ALPHA = 0.05

P VALUE FROM THE TEST STATIC TABLE = 0.0017

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