Question

A researcher computes a 90% confidence interval for the mean weight (in ounces) of widgets produced in a computer factory. The interval is (7.2, 8.9). Which of these is a correct interpretation of this interval? (A) There's a 90% chance the population value is between 7.2 and 8.9 oz. (B) Ninety percent of all sample means are equivalent to the true mean weight of all the widgets. (C) If you drew many samples of size n and constructed a confidence interval from each sample, 90% of the intervals would contain the true population value. (D) Out of all the widgets produced in the factory, 90% weigh between 7.2 and 8.9 oz

Answer 1

Answer:

(A) There's a 90% chance the population value is between 7.2 and 8.9 oz.

Step-by-step explanation:

The confidence interval is the probability that the population value would fall within a range of values for a number of times. The confidence interval are calculated by adding and subtracting the margin of error to/from the mean.

A 90% confidence interval of (7.2, 8.9) means that their is a 90% confidence or chance that the population value is between 7.2 and 8.9 oz.