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 95% confidence interval for the mean annual consumption of sugar.
A) 23.06 to 30.94
B) 22.21 to 31.79
C) 20.37 to 33.63
D) 23.30 to 30.70
E) 23.0 to 30.0

Question

Quizplus · Accepted Answer

The 95% confidence interval is calculated using the formula: mean ± (t-value * (standard deviation/√n)). With 15 degrees of freedom, the t-value is approximately 2.131. Thus, the interval is 27 ± (2.131 * (9/√16)) = 22.21 to 31.79.

The Sugar Producers Association Wants to Estimate the Mean Yearly