# Substitution

Question

There are 3 warning signals that a control chart uses to detect a process that may be out of control:

1) A point lies beyond 3 standard deviations of the mean.

2) There are 9 consecutive points that fall on one side of the mean.

3) At least two of three consecutive points lie more than two standard deviations from the mean. For each of these three signals, explain why that signal indicates that the process may be out of control.

Question

Find ∫ √(a^2 + x^2) dx with limits 0 to t using the substitution x = a sin h u

Question

There are 368 pumpkins in the pumpkin patch. Every third one is too small, every fourth one is too big, every fifth one is missing a stem, and every sixth one is flat. How many perfect pumpkins are in the patch?

Question

You have a portfolio with the following: Stock Number of Shares Price Expected Return W 1,050 \$ 59 10% X 950 36 14 Y 700 72 12 Z 925 57 13 Required: What is the expected return of your portfolio?

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