Question 1

What is meant by the phrase: measures of dispersion? How are these values used?

Accepted Answer

Measures of dispersion, the range and standard deviation, refer to the spread of the data. The range and standard deviation enable those studying a process to understand how much variation is present in the process.

Question 2

One of the dimensions measured when filling bottles of olive oil is the depth of the cork in the bottle. Since the depth of the cork in the bottle affects the size of the air gap in the bottle, this dimension is critical. Its specification is 48.5 +/- 0.5 mm. During a recent day, 35 bottles were inspected for the depth of the cork in the bottle. Create and interpret a histogram using the following information.

Accepted Answer

1.
$\begin{array} { l c } \text { Size } & \text { Frequency } \ 48.1 & 2 \ 48.2 & 2 \ 48.3 & 5 \ 48.4 & 6 \ 48.5 & 3 \ 48.6 & 5 \ 48.7 & 6 \ 48.8 & 5 \ 48.9 & 0 \ 49.0 & 1 \ \text { Range } = 49 - 48.1 = 0.9 \end{array}$
Cell intervals:
$$h = \frac { 0.9 } { 0.3 } + 1 = 4 \text { Choose }$$
$$\begin{array} { l } 
h = \frac { 0.9 } { 0.5 } + 1 = 3 \
h = \frac { 0.9 } { 0.7 } + 1 = 2
\end{array}$$
Midpoints $= 48.1,48.4,48.7,49.0$
Boundaries $\mathrm { i } / 2 = 0.15$
$$47.95,48.25,48.55,48.85,49.15$$

Question 3

What is meant by the phrase: the central tendency of the data? How are these values used?

Accepted Answer

The central tendency of the data is where the data is grouped or gathered. Determining where the data is concentrated, by using the mean, mode, and median, helps those studying a process or product determine the gap between the desired target and what the process is producing.

Question 4

If the mean value of the weight of a particular brand of dog food bag is 20.6 pounds and the standard deviation is 1.3, assume a normal distribution and calculate the percentage of bags that falls below the lower specification value of 19.7 pounds.

Accepted Answer

The answer of If the mean value of the weight...

Question 5

Calculate the mean, mode, and median of the following information: 48.1, 48.2, 48.1, 48.3, 48.4, 48.5, 48.1, 48.3.

Accepted Answer

The answer of Calculate the mean, mode, and median of...

Question 6

Calculate the mean, range, and standard deviation of the following numbers: 300, 440, 275, 350. Calculate the mean, range, and standard deviation of these numbers: 350, 470, 300, 360.

Accepted Answer

The answer of Calculate the mean, range, and standard deviation...

Question 7

Describe how the mean, mode, median, range and standard deviation work together to describe the data presented in a histogram.

Accepted Answer

The answer of Describe how the mean, mode, median, range...

Question 8

A company has been studying the performance of their sales department. The measure of performance used is: average monthly sales amount in dollars. For the past 12 months, the average monthly sales amount has been $4,532 with a standard deviation of $386. Calculate the percentage of months that the average monthly sales amount exceeds $5,800.

Accepted Answer

The answer of A company has been studying the performance...

Question 9

To create a paper clip, wire is cut to 4 " lengths and then formed into the shape we are all familiar with. Use the following information to create a histogram. Show all formulas and appropriate calculations.

Accepted Answer

The answer of To create a paper clip, wire is...

Exam 9: Statistical