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Elementary Statistics: A Step By Step Approach | 9th Edition | ISBN: 9780073534985 | Authors: Allan Bluman
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Number of FacultyThe numbers of faculty at 32 randomly

Chapter 7, Problem 13E

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QUESTION:

Number of Faculty

The numbers of faculty at 32 randomly selected state-controlled colleges and universities with enrollment under 12,000 students are shown below. Use these data to estimate the mean number of faculty at all state-controlled colleges and universities with enrollment under 12,000 with 92% confidence. Assume σ = 165.1.

   

211       384       396       211       224       337       395       121       356

621       367       408       515       280       289       180       431       176

318       836       203       374       224       121       412       134       539

471       638       425       159       324

Source: World Almanac.

Questions & Answers

QUESTION:

Number of Faculty

The numbers of faculty at 32 randomly selected state-controlled colleges and universities with enrollment under 12,000 students are shown below. Use these data to estimate the mean number of faculty at all state-controlled colleges and universities with enrollment under 12,000 with 92% confidence. Assume σ = 165.1.

   

211       384       396       211       224       337       395       121       356

621       367       408       515       280       289       180       431       176

318       836       203       374       224       121       412       134       539

471       638       425       159       324

Source: World Almanac.

ANSWER:

Solution

Step 1 of 2

We have to estimate the mean no.of faculty with 92% confident

Given that sample size

                                     

Now the sample mean

                                          =

                                           =346.25

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