A survey of 107 college students was taken to determine the musical cells that they liked. Of those, 40 students listen to rock, 31 to classical, and 45 to Jazzzy. Also, 27 students listen to rock and jazz, 15 to rock and classical, and 18 to classical and jazz. Finally, 13 students listen to all three musical styles. construct a Venn diagram and determine the cardinality for each region. Use the completed Venn diagram to answer the following questions

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;