Consider the following question:
A fast food manager wants to perform a statistical analysis of its restaurant customers’ weights. He collects a simple random sample of 81 customers. A 95% confidence interval based on this sample is (90 kg, 110 kg) which is based on a normal model for the mean.
A local newspaper claims that the weights of the customers at this fast food exceeds 85 kg. Is this claim supported by the confidence interval? Explain your reasoning.
I don't get the claim of the newspaper. Does it say that all customers must have weight above 85kg? I guess we can just argue about a population parameter, like mean, and not the range that values can scatter, right? because we don't know about the distribution of the values and it usually have a probability for any value, right? Please guide me over my understanding.