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 in the sample 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*(0.4/7)
= 24 ± 0.112
from the alternatives given, choice d is closest to the above expression;