A random sample of the number of farms (in thousands) in various states follows. Estimate the mean number of farms per state with 90 % confidence

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Question:

A random sample of the number of farms (in thousands) in various states follows. Estimate the mean number of farms per state with 90 % confidence.

a) Assume population standard deviation is known and is equal to 31.

b) Assume that population standard deviation is not known.

47 95 54 33 64 48 57 9 80 8 90 3 49 4 44 79 80 48 16 68 7 15 21 52 6 78 109 40 50 29 5.

We are given that: c = confidence level = 90%

We have to estimate the mean with 90% confidence level.

Part a) Population Standard deviation = 

Formula:
(\bar{x}-E\: \: < \mu < \: \:\bar{x}+E )