High School

A random sample of 36 bags of Peanut M&M chocolate candies was taken, and a 90% confidence interval for the mean weight per bag is (35.7 grams, 39.4 grams). Which statement about the confidence interval is valid?

A. We can infer that 90% of all bags of Peanut M&Ms contain between 35.7 and 39.4 grams.
B. We can say with 90% confidence that the true mean weight per bag of all types of M&Ms is between 35.7 and 39.4 grams.
C. We can say with 90% confidence that each individual bag of Peanut M&Ms contains between 35.7 and 39.4 grams.
D. We can say with 90% confidence that the true mean weight per bag for all bags of Peanut M&Ms is between 35.7 and 39.4 grams.

Answer :

The correct statement about the given confidence interval is that we can say with 90% confidence that the true mean weight per bag of all types of M&Ms is between 35.7 and 39.4 grams.

The correct statement about the given confidence interval is B. We can say with 90% confidence that the true mean weight per bag of all types of M&Ms is between 35.7 and 39.4 grams.

A confidence interval is a range of values that is likely to contain the true population parameter. In this case, the confidence interval (35.7 grams, 39.4 grams) tells us that we can be 90% confident that the true mean weight per bag of Peanut M&Ms is between 35.7 and 39.4 grams.

Learn more about Confidence interval here:

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