The Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 27 kg with a sample standard deviation of 9 kg. Assume a normal population. Develop a 99% confidence interval for the mean annual consumption of sugar.
A) 23.06 to 30.94
B) 22.20 to 31.80
C) 20.37 to 33.63
D) 23.30 to 30.70
E) 23.0 to 30.0

Question

Quizplus · Accepted Answer

The 99% confidence interval is calculated using the formula: mean ± (t-value * (s/√n)). With a sample size of 16, the degrees of freedom is 15. The t-value for 99% confidence and 15 degrees of freedom is approximately 2.947. Thus, the interval is 27 ± (2.947 * (9/√16)) = 27 ± 6.63, resulting in the interval 20.37 to 33.63.

The Sugar Producers Association Wants to Estimate the Mean Yearly