Module 1 Assignment Worksheet

All
calculations should be done in Microsoft Equation Editor and all charts and
graphs should be done in excel.

1)
A manufacturing company produces steel housings for
electrical equipment. The main component part of the housing is a steel
trough that is made out of 14-gauge steel coil. It is produced using a
250-ton progressive punch press with a wipe-down operation that puts two
90-degree forms in a flat steel to make the trough. The company requires
that the width of the trough be between 8.31 inches and 8.43 inches. Data
are collected from a sample of 49 troughs.
8.312
8.343 8.317 8.383 8.348
8.410 8.351 8.373 8.481
8.422 8.476 8.382 8.484
8.403
8.414 8.419 8.385
8.465 8.498 8.447 8.436
8.413 8.489 8.414 8.481
8.415 8.479 8.429
8.458 8.462 8.460
8.444 8.429 8.460 8.412
8.420 8.410 8.405 8.323
8.420 8.396 8.447
8.405 8.439 8.411
8.427 8.420 8.498 8.409

a) Construct a frequency distribution,
percentage distribution, cumulative frequency and a cumulative percentage
distribution.

b) Construct a frequency distribution histogram, a
cumulative frequency histogram, a cumulative percentage polygon plot and a
percentage distribution pie chart using excel.

c) What can you conclude about the number of trough
that will meet the company’s requirements of troughs being between 8.31 and
8.43 inches wide?

2)
If the data set has a mean of 10.0 seconds and a
standard deviation of 2.0 seconds, what is the corresponding z-score to the
time of 4.0 seconds?

3)
Suppose 95% of the data falls between 12.4 and 46.8
units. Using the empirical rule, give an estimate of the standard
deviation.

5)
Make a stem and leaf plot of the data, what is the
shape of the data
45, 111, 105, 50, 48, 77, 71, 51, 55, 92, 56, 57, 65,
62, 51, 68, 44, 68, 57, 62, 91, 57
5)
Use the 22 average daily temperatures and the 22
corresponding 22 amounts of energy consumption (kWh) to construct a scatter
plot in Excel. Based on the graph, is there a relationship between the 2
variables? Identify at least one reason as to why there is or isn’t a
relationship.

6)
The following data contains the overall miles per
gallon of 2009 sedans priced under $20,000.
27 31 30
28 27 24 29 32
31 27 26 25
26 25 24

a) Compute the mean, median, mode,
variance, standard deviation, range, and coefficient of variation, Q1 (Quartile
1) and Q3 (Quartile 3) using Excel.

b) What is the shape of the data? How do you
know?