1.i)This exercise is a "what-if" analysis designed to determine what happens to the interval estimate when the standard

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1.i)This exercise is a "what-if" analysis designed to determinewhat happens to the interval estimate when the standard deviationchanges.
(a)
A sample of 36 observations produced a mean of 325. The samplewas randomly drawn from a population with a standard deviation of12. Estimate the population mean with 99% confidence. (Round youranswers to two decimal places.)
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(b)
Repeat part (a) changing the population standard deviation to24. (Round your answers to two decimal places.)
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(c)
Repeat part (a) changing the population standard deviation to48. (Round your answers to two decimal places.)
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ii)
Among the most exciting aspects of a university professor’s lifeare the departmental meetings where such critical issues as thecolor of the walls will be painted and who gets a new desk aredecided. A sample of 20 professors was asked how many hours peryear are devoted to these meetings. The responses are listedhere.
Assuming that the variable is normally distributed with astandard deviation of 8 hours, estimate the mean number of hoursspent at departmental meetings by all professors. Use a confidencelevel of 90%. (Round your answes to two decimal places.)
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