A local company makes a candy that is supposed to weigh 1.00 ounces.A random sample of 25 pieces of candy produces a mean of 0.996 ounces with a standard deviation of 0.004 ounces.Construct a 98% confidence interval for the mean weight of all such candy.
A)[0.9645 1.0275]
B)[0.9956 0.9964]
C)[0.9860 1.0060]
D)[0.9940 0.9980]
E)[0.9942 0.9978]

Question

Quizplus · Accepted Answer

The 98% confidence interval is calculated using the formula: mean ± (critical value) * (standard deviation/sqrt(sample size)). Using a t-distribution with 24 degrees of freedom, the critical value is approximately 2.492. The interval is 0.996 ± 2.492 * (0.004/√25), which results in [0.9940, 0.9980].

A Local Company Makes a Candy That Is Supposed to Weigh