School administrators asked a group of students and teacher which of two school logo ideas, logo A or logo B, they prefer. This table shows the result. Are being a student and preferring logo B independent events? Why or why not?

A. No, they are not independent, because P(student) = 0.8 and P(student | logo B) = 0.89.

B. No, they are not independent, because P(student) = 0.8 and P(student | logo B) = 0.78.

C. Yes, they are independent, because P(student) = 0.8 and P(student | logo B) = 0.89.

D. Yes, they are independent, because P(student) = 0.8 and P(student | logo B) = 0.78.

8

step-by-step explanation:

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;

fd

step-by-step explanation: