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URGENTTTTTT A random sample of 20 maximum sentences for murder yielded the​ data, in​ months, presented...

URGENTTTTTT

A random sample of 20 maximum sentences for murder yielded the​ data, in​ months, presented to the right. Use the technology of your choice to complete parts​ (a) through​ (d) below.

254 345 304 299 275 265 338 284 293 269 262 308 371 298 277 269 258 294 279 293

a. Find a 99​% confidence interval for the mean maximum sentence of all murders. Assume a population standard deviation of 35 months. The confidence interval is from nothing months to nothing months. ​(Type integers or decimals rounded to one decimal place as​ needed.)

Math   Statistics-And-Probability   
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Answer #1

From the given data,

Sample mean = 291.75

99% confidence interval for is

- Z * / sqrt( n) < < + Z * / sqrt( n)

291.75 - 2.5758 * 35 / sqrt(20) < < 291.75 + 2.5758 * 35 / sqrt(20)

271.6 < < 311.9

99% CI is ( 271.6 , 311.9 )

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