# Question

A company manufactures mints that have a label weight of 20.4 grams. The company regularly samples from the production line and weighs the selected mints. During two mornings of production it sampled 81 mints, obtaining the following weights:

(a) Construct an ordered stem-and-leaf display using stems of 20f, 20s, 20•, 21∗, . . . , 22∗.

(b) Find (i) the three quartiles, (ii) the 60th percentile, and

(iii) The 15th percentile.

(c) Find approximate 95% confidence intervals for (i) π0.25, (ii) m = π0.5, and (iii) π0.75.

(a) Construct an ordered stem-and-leaf display using stems of 20f, 20s, 20•, 21∗, . . . , 22∗.

(b) Find (i) the three quartiles, (ii) the 60th percentile, and

(iii) The 15th percentile.

(c) Find approximate 95% confidence intervals for (i) π0.25, (ii) m = π0.5, and (iii) π0.75.

## Answer to relevant Questions

We would like to fit the quadratic curve y = β1 + β2x + β3x2 to a set of points (x1, y1), (x2, y2), . . . , (xn, yn) by the method of least squares. To do this, let (a) By setting the three first partial derivatives of h ...Using the ACT scores in Exercise 6.5-6, find 95% confidence intervals for α, β, and σ2 under the usual assumptions. In Exercise 6.5-6 In a mechanical testing lab, Plexiglass strips are stretched to failure. Let X equal the change in length in mm before breaking. Assume that the distribution of X is N(μ, σ2). We shall test the null hypothesis H0: μ = ...Let X and Y denote the respective lengths of male and female green lynx spiders. Assume that the distributions of X and Y are N(μX, σ2x) and N(μY, σ2Y), respectively, and that σ2Y > σ2x. Thus, use the modification of Z ...For developing countries in Africa and the Americas, let p1 and p2 be the respective proportions of babies with a low birth weight (below 2500 grams). We shall test H0: p1 = p2 against the alternative hypothesis H1: p1 > ...Post your question

0