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Salve Pasco

Salve P.

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The following data represent the number of hours that two different types of scientific pocket calculators operate before a recharge: is required.
$$
\begin{array}{llllllllll}
\text { Calculator } A & & 5.5 & 5.6 & 6.3 & 4.6 & 5.3 & 5.0 & 6.2 & 5.8 & 5.1 \\
\hline \text { Calculator } B & & 3.8 & 4.8 & 4.3 & 4.2 & 4.0 & 4.9 & 4.5 & 5.2 & 4.5
\end{array}
$$
Use the rank-sum test with $\alpha=0.01$ to determine if calculator $A$ operates longer than calculator $B$ on a full battery charge.

The following data represent the number of hours that two different types of scientific pocket calculators operate before a recharge: is required. $$ \begin{array}{llllllllll} \text { Calculator } A & & 5.5 & 5.6 & 6.3 & 4.6 & 5.3 & 5.0 & 6.2 & 5.8 & 5.1 \\ \hline \text { Calculator } B & & 3.8 & 4.8 & 4.3 & 4.2 & 4.0 & 4.9 & 4.5 & 5.2 & 4.5 \end{array} $$ Use the rank-sum test with $\alpha=0.01$ to determine if calculator $A$ operates longer than calculator $B$ on a full battery charge.

Probability and Statistics for Engineers and Scientists

Nonparametric Statistics

Kruskal-Wallis Test

The following data represent the number of hours that two different types of scientific pocket calculators operate before a recharge: is required.
$$\begin{array}{lllllllll}\text { Calculator } A & & 5.5 & 5.6 & 6.3 & 4.6 & 5.3 & 5.0 & 6.2 & 5.8 & 5.1 \\\hline \text { Calculator } B & & 3.8 & 4.8 & 4.3 & 4.2 & 4.0 & 4.9 & 4.5 & 5.2 & 4.5\end{array}$$
Use the rank-sum test with $\alpha=0.01$ to determine if calculator $A$ operates longer than calculator $B$ on a full battery charge.

The following data represent the number of hours that two different types of scientific pocket calculators operate before a recharge: is required. $$\begin{array}{lllllllll}\text { Calculator } A & & 5.5 & 5.6 & 6.3 & 4.6 & 5.3 & 5.0 & 6.2 & 5.8 & 5.1 \\\hline \text { Calculator } B & & 3.8 & 4.8 & 4.3 & 4.2 & 4.0 & 4.9 & 4.5 & 5.2 & 4.5\end{array}$$ Use the rank-sum test with $\alpha=0.01$ to determine if calculator $A$ operates longer than calculator $B$ on a full battery charge.

Probability and Statistics for Engineers and Scientists

Statistical Quality Control

Cusum Control Charts

Identify the set of possible values for each random variable. (Make a reasonable estimate based on
experience, where necessary.)
a. The number of hearts in a five-card hand drawn from a deck of 52 cards that contains 13 hearts in all.
b. The number of pitches made by a starting pitcher in a major league baseball game.
c. The number of breakdowns of city buses in a large city in one week.
d. The distance a rental car rented on a daily rate is driven each day.
e. The amount of rainfall at an airport next month.

Identify the set of possible values for each random variable. (Make a reasonable estimate based on experience, where necessary.) a. The number of hearts in a five-card hand drawn from a deck of 52 cards that contains 13 hearts in all. b. The number of pitches made by a starting pitcher in a major league baseball game. c. The number of breakdowns of city buses in a large city in one week. d. The distance a rental car rented on a daily rate is driven each day. e. The amount of rainfall at an airport next month.

Introductory Statistics

Discrete Random Variables

Random Variables

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