Q1) Random sample of 10 miniature Tootsie Rolls was taken from the bag. Every piece was weighed on the very accurate scale. Results in grams were;
3.087
|
3.131
|
3.241
|
3.241
|
3.27
|
3.353
|
3.4
|
3.411
|
3.437
|
3.477
|
(a) Create a 90% confidence interval for true mean weight.
(b) What sample size would be essential to evaluated the true weight with the error of ± 0.03 grams with 90% confidence?
(c) Describe the factors that might cause variation in weight of Tootsie Rolls during manufacture.
Q2) To monitor ecological health of Florida Everglades, a variety of measurements are recorded at different times. Bottom temperatures are recorded at Garfield Bight station and the mean of 30.4ºC is got for 61 temperatures recorded on 61 different days. Suppose that s = 1.7ºC, determine a 95% confidence interval estimate of population mean of all such temperatures. What aspect of this problem is not realistic?