# Question: Different sizes of nails are packaged in 1 pound boxes Let

Different sizes of nails are packaged in “1-pound” boxes. Let Xi equal the weight of a box with nail size C, i = 1, 2, 3, 4, 5, where 4C, 8C, 12C, 16C, and 20C are the sizes of the sinkers from smallest to largest. Assume that the distribution of Xi is N(μi, σ2). To test the null hypothesis that the mean weights of “1-pound” boxes are all equal for different sizes of nails, we shall use random samples of size 7, weighing the nails to the nearest hundredth of a pound.

(a) Give a critical region for an α = 0.05 significance level.

(b) Construct an ANOVA table and state your conclusion, using the following data:

(c) For each set of data, construct box-and-whisker diagrams on the same figure and give an interpretation of your diagrams.

(a) Give a critical region for an α = 0.05 significance level.

(b) Construct an ANOVA table and state your conclusion, using the following data:

(c) For each set of data, construct box-and-whisker diagrams on the same figure and give an interpretation of your diagrams.

## Answer to relevant Questions

A fair coin is tossed four times, and the sequence of heads and tails is observed. (a) List each of the 16 sequences in the sample space S. (b) Let events A, B, C, and D be given by A = {at least 3 heads}, B = {at most 2 ...A single card is drawn at random from each of six well-shuffled decks of playing cards. Let A be the event that all six cards drawn are different. (a) Find P(A). (b) Find the probability that at least two of the drawn cards ...With a = 3 and b = 4, find μ, αi, and βj if μij, i = 1, 2, 3 and j = 1, 2, 3, 4, are given by In an “additive” model such as this one, one row (column) can be determined by adding a constant value to each of the ...In a college health fitness program, let X equal the weight in kilograms of a female freshman at the beginning of the program and let Y equal her change in weight during the semester. We shall use the following data for n = ...It is necessary to control the percentage of solids in a product, so samples are taken randomly throughout the day and the percentage of solids is measured. Use the following 20 sets of 5 observations for this exercise: (a) ...Post your question