Question: please help me to solve this question and understand how it can be solved thanks in advance, Ledolter and Hogg (2010) report that a manufacturer

please help me to solve this question and understand how it can be solved thanks in advance,

Ledolter and Hogg (2010) 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 firm's alloy filaments. Fifty filaments are selected and their melting points determined. The following results were obtained.

320 320 317 329 316 308 321 319 322 334

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

Using this data, we can get = 320.1 and ( ) 2 =1 = 2232.5.

(a) Calculate the sample standard deviation.

(b) Calculate , and 2. How many observations lie within one standard deviation of the mean? How many observations lie within two standard deviation of the mean?

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