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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
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Ledolter and Hogg (see References) report that a manufacturer of metal alloys is

Chapter 6, Problem 6.1-4

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QUESTION:

Ledolter and Hogg (see References) report that a manufacturer of metal alloys is concerned about customer complaints regarding the lack of uniformity in the melting points of one of the firms alloy filaments. Fifty filaments are selected and their melting points determined. The following results were obtained: 320 326 325 318 322 320 329 317 316 331 320 320 317 329 316 308 321 319 322 335 318 313 327 314 329 323 327 323 324 314 308 305 328 330 322 310 324 314 312 318 313 320 324 311 317 325 328 319 310 324 (a) Construct a frequency distribution and display the histogram of the data. (b) Calculate the sample mean and sample standard deviation. (c) Locate x and x s, and x 2s on your histogram. How many observations lie within one standard deviation of the mean? How many lie within two standard deviations of the mean?

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QUESTION:

Ledolter and Hogg (see References) report that a manufacturer of metal alloys is concerned about customer complaints regarding the lack of uniformity in the melting points of one of the firms alloy filaments. Fifty filaments are selected and their melting points determined. The following results were obtained: 320 326 325 318 322 320 329 317 316 331 320 320 317 329 316 308 321 319 322 335 318 313 327 314 329 323 327 323 324 314 308 305 328 330 322 310 324 314 312 318 313 320 324 311 317 325 328 319 310 324 (a) Construct a frequency distribution and display the histogram of the data. (b) Calculate the sample mean and sample standard deviation. (c) Locate x and x s, and x 2s on your histogram. How many observations lie within one standard deviation of the mean? How many lie within two standard deviations of the mean?

ANSWER:

Step 1 of 5

Given,

No. of filaments selected,

Using the melting point data from the study on uniformity in the melting points of one of the firm’s alloy filaments, lets’ determine the following:

 

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