Question

Annual salaries, in thousands of dollars, for a random sample of chemists at the Dull Chemical...

Annual salaries, in thousands of dollars, for a random sample of chemists at the Dull Chemical Company are 38, 43, 41, 49, 52. Assume that chemists' salaries are normally distributed.

(a) Find a 95% confidence interval estimate of the average salary for all chemists at the Dull Chemical Company. Show your work and calculations.

(b) A campus recruiter for Dull Chemical states to prospective employees that the mean annual salary for chemists at Dull is  = $47,000. Is the answer to Part (a) consistent with this statement, OR do you have strong evidence to deny this statement? Show your work and explain the reasoning behind your answer!

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

The data is:

Data
38
43
41
49
52
Count 5
Mean 44.6
StDev 5.770615

(b)

Yes,  Part (a) consistent with this statement that  the campus recruiter for Dull Chemical states to prospective employees that the mean annual salary for chemists at Dull is $47,000. This is because 47 lies in the above 95% confidence interval.

Please let me know in comments in case anything is unclear. Will reply ASAP. Do upvote if satisfied!

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