# 02402 · Test Quiz 1

## Question 1 of 5

The content of the heavy metal Cadmium in canned tuna were measured in tuna from 3 different manufacturers of canned tuna. From each manufacturer 5 cans of tuna were randomly selected. The following quantities of Cadmium in $\mu$g$/$kg were measured in the 15 different cans of tuna:

Manufacturer 1: | 57 | 52 | 62 | 49 | 43 |

Manufacturer 2: | 55 | 74 | 62 | 42 | 52 |

Manufacturer 3: | 61 | 54 | 55 | 53 | 51 |

What is the 3. quartile (upper) of the Cadmium content at Manufacturer 1? (Using the definition of the book)

## Question 2 of 5

A random sample of 10 estate agents showed that they had to show a property to 8, 7, 10, 14, 11, 7, 10, 11, 16, 12 different buyers before the property was sold.

The median for the number of showings of a property is? (using the definition of the book)

## Question 3 of 5

Boxplots for 3 different groups of data with $n=20$ data points in each group are shown below. (It can be assumed that there are no ‘‘ties’’, that is no identical observations.)

Which of the following statements is *false*?

## Question 4 of 5

In a redesigned valve the socalled “elasticity modulus’’ of the material is important for the functionality. To compare the elasticity modulus of 3 different brass alloys, samples from each alloy was purchased from 5 different manufacturers. The measurements in the table below indicates the measured elasticity modulus in GPa:

Brass alloy | Row sum | |||
---|---|---|---|---|

M1 | M2 | M3 | ||

Manufacturer A | 82.5 | 90.9 | 75.6 | 249.0 |

Manufacturer B | 83.7 | 99.2 | 78.1 | 261.0 |

Manufacturer C | 80.9 | 101.4 | 87.3 | 269.6 |

Manufacturer D | 95.2 | 104.2 | 92.2 | 291.6 |

Manufacturer E | 80.8 | 104.1 | 83.8 | 268.7 |

Column sum | 423.1 | 499.8 | 417.0 |

Consider only the data for brass alloy M1. The median and the upper quartile for these become: (using the book Chapter 1 definition)

## Question 5 of 5

Two different brands of tablets with the same active compound are compared with respect to their solubility. For each of the two brands 10 tablets were investigated. For each tablet, percent solubility is measured after the tablet have been kept in 1000 ml de-ionized water for a while. One measurement failed, so the following values for $\%$ solubility were found:

Brand F | 45 | 47 | 48 | 49 | 49 | 50 | 52 | 52 | 53 | 54 |

Brand G | 48 | 48 | 49 | 49 | 52 | 54 | 54 | 55 | 55 |

What are the following five numbers for Brand G: $0\%$-percentile, lower quartile $Q_1$, median, upper quartile $Q_3$, and $100\%$-percentile?