A soap maker manufactures bars of soap in three different sizes: 3.15-ounce, 4-ounce, and 6-ounce bars. The company randomly surveyed people at a number of supermarkets across the country about which size bar they typically buy. Survey results showed that 40% buy the 3.15-ounce bar, 50% prefer the 4-ounce bar, and 10% purchase the 6-ounce bar. If the company sells 62,500 bars of soap each day, approximately how many 3.15-ounce bars should they sell per day across the country? A.
15,000
B.
20,000
C.
25,000
D.
37,500

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;