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 companys 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 isnt 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?