Question

Question 3: Use Table 3 in the Basic Statistical Procedures and Tables (BSPT) book to find the following probabilities and percentiles: (a) PIZ1.76) (b) P(-1.11 sZs 1.35) (c) P(Z 2-0.54) (d) Find zo such that P(Zs zo) 0.04 e) Find zo such that P(Z> Zo) 0.46 Question 4: Kellogg's will lose money if their boxes of Corn Flakes cereal weigh either more or less than is claimed on the label. Accordingly, Kellogg's pays close attention to the amount of product being dispensed by box filling machines. Suppose a quality control inspector for Kellogg's is interested in determining what the mean weight of Corn Flakes per box is. The inspector randomly selects sixteen boxes, measures the weight of their contents, and records the results as: 214 195 207 189 201203 213 191 202 217 197 209 210 202194 212 s=8.66, Note that x=203.5, n=16 (a) Find and interpret a 90% confidence interval for the true mean weight of the cereal box. (b) Find and interpret a 99% confidence interval for the true mean weight of the cereal box.

Answer 1