Beverly needs to make a container in the shape of a rectangular prism that holds 1000 in3 of liquid. the height of the container must be 10 in. she wants to use the dimensions that will allow her to use the least amount of material possible. beverly’s mother says the difference in the amount of material will be too minor to worry about. beverly believes it is possible to save more than half the material needed if they pick the right dimensions. who is correct? support your answer with specific numbers, and explain your reasoning. the dimensions are measured in whole units.

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;