Question

Problem: A group of nutritionists examined the protein content of a certain canned food to see if on average the protein content in this canned food meets the 6 grams that is advertised on the label. A random sample of 18 cans was obtained for each tin protein content was measured. The data set is shown below 5.1, 4.9, 6.0,5.0, 6.7,5.5, 4.9, 6.1, 6.0, 5.8,5.2, 4.7,4.2, 49,5.5, 5.6, 5.8, 6.0 Build a 95% confidence interval for the average protein content in this canned food. Indicate the interpretation of this interval.

Answer 1

Here we have data :

5.1,4.9,6,5,6.7,5.5,4.9,6.1,6,5.8,5.2,4.7,4.2,4.9,5.5,5.6,5.8,6

Sample mean = 5.439

Sample standard deviation = 0.622