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Suppose that a restaurant chain claims that its bottles of ketchup contain 24 ounces of ketchup on average, with a standard deviation of 0.4 ounces. If you took a sample of the 49 bottles of ketchup what would be the approximate 95% confidence interval for a mean number of ounces of ketchup per bottle in the sample?

Respuesta :

Answer:

The confidence interval is (23.888, 24.112)

Step-by-step explanation:

The restaurant chain claims that its bottles of ketchup contain 24 ounces of ketchup on average. So, the mean is 24 ounces.

Standard Deviation = 0.4

Number of bottles used for sample = 49, so n = 49

Confidence level = 95%  or 0.95

z=1.96

Hence, the confidence interval is given by the expression:

[tex]24+1.96*\frac{0.4}{\sqrt{49} }[/tex] and

[tex]24-1.96*\frac{0.4}{\sqrt{49} }[/tex]

Hence, Confidence interval = (23.888, 24.112)

Answer:

The answer is 24+0.114. I just took the test.