Tim purchased a random sample of clementines at a local grocery store. The 95% confidence interval for the mean weight of all clementines at the store is 76.6 grams to 90.1 grams. Interpret this confidence interval.

Step-by-step explanation:

Confidence interval is constructed to provide an estimated for an unknown population parameter such as the mean and sometimes, the standard deviation. It is expressed as

Sample mean ± margin of error

From the confidence interval given, the lower boundary is 76.6 grams while the upper boundary is 90.1 grams. Therefore,

It means that we are 95% confident that the mean weight of all clementines at the store lies between 76.6 grams to 90.1 grams. Also, 95% of the confidence intervals constructed in this way would contain the true value for the population mean weight of all clementines at the store.