Plot an appropriate stem-and leaf display and box plot, do the data follow some
ID: 3177491 • Letter: P
Question
Plot an appropriate stem-and leaf display and box plot, do the data follow some pattern? If So, is i symmetric, skewed right or skewed left? Are there outliers? Construct a 95% confidence interval for the true mean thickness. The Food and Drug Administration (FDA) needs to estimate the average content of an additive in a given food product. A random sample of 16 portions of the product has average 8.9 units. Suppose the standard of population is known sigma - 0.4 units. The 95% confidence interval for the average number of units of population of portions of this food product is 8.9 plus minus 0.2. Which statement of the following is a reasonable interpretation of the confidence interval? (circle one) (a) The content of the additive in about 95% of portions is between 87 and .91. (b) Based on all the samples with size 16, a confidence interval is calculated from each sample, then about 95% of these intervals will cover the true average content mu. (c) The true average content mu will fall into the interval (87, 91) with probability 95%.Explanation / Answer
Solution:-
4) b) Based on the samples size 16, a confidence interval is calculated from each sample, than about 95% of these intervals will cover the true average content u i.e 8.9.
If repeated samples were taken and the 95% confidence interval was computed for each sample, 95% of the intervals would contain the population mean.