Question

a statistics class weighed 20 bags of grapes purchased from the store. the bags are advertised to contain 16 ounces, on average. the class calculated the 90% confidence interval for the true mean weight of bags of grapes from this store to be (15.875, 16.595) ounces. is the store justified in stating that the average weight of the bags of grapes is 16 ounces?the store is not justified in stating that the average weight of the bags is 16 ounces because the sample mean of 16.235 ounces is more than 16 ounces.the store may be justified in stating that the average weight of the bags is 16 ounces because 16 ounces is in the confidence interval.the store is justified in stating that the average weight of the bags is 16 ounces because 16 ounces is in the confidence interval.the store is not justified in stating that the average weight of the bags is 16 ounces because the majority of the confidence interval is above 16 ounces.

Explanation:

A confidence interval provides a range of plausible values for the true population mean. If the claimed value (16 ounces) falls within the calculated confidence interval, we cannot reject the claim, meaning the store's statement is justified as 16 is a plausible true mean.

Answer:

The store is justified in stating that the average weight of the bags is 16 ounces because 16 ounces is in the confidence interval.