A random sampleof 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were:
3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477
(a) Construct a 90 percent confidence intervalfor the true meanweight.
(b) What sample size would be necessary to estimate the true weight with an error of ± 0.03 grams with 90 percent confidence?
(c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture.
The complete solution with symbols is in the attached file.
First we get some descriptive statistics of the data:
(a) The sample u = 3.3048 and the sample ? = 0.132
The 90% CI for the …
Neat, step-by-step solution is provided.