Answer:
D. 24+-0.114
Step-by-step explanation:
The question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle given the following statistics;
Sample mean = 24
standard deviation, σ = 0.4
Sample size , n = 49
The confidence interval for a population mean is calculated using the formula;
Sample mean ± z-score*(σ/sqrt(n))
The z-score associated with a 95% confidence interval, from the standard normal tables, is;
1.96
Substituting these values into the formula;
24 ± 1.96*[tex]\frac{0.4}{\sqrt{49} }[/tex]
= 24 ± 0.112
From the choices given, choice D is closest to the above expression;