Suppose an archaeologist discovers twenty fossil skeletons from a previously unk

Question

Suppose an archaeologist discovers twenty fossil skeletons from a previously unknown species of miniature horse. Based on estimates of other similar species, the standard deviation for shoulder height is believed to be 3 cm. Mare are the reconstructed shoulder heights (in centimeters) in a sample of 20 of these miniature horses: Find the main. () cm Find the margin of error foe 95% confidence (Round your answer to four decimal places) cm Report the confidence interval for mu the mean shoulder height of the entire population of such horses. (Round your answers to four decimal pieces)

Explanation / Answer

a)from above mean =44.125

b) for 95% CI and 19 df ; t=2.093

hence margin of error =t*std error =2.0068

c) for confidence interval =sample mean +/- margin of error =42.1182 ; 46.1318

X 45.400 44.200 45.700 44.400 40.500 49.100 51.400 47.400 44.000 38.300 37.700 48.400 48.700 44.100 43.000 35.500 38.400 47.900 46.000 42.400 mean(X) 44.125 std deviation(S) 4.288 std error =S/(n)1/2 0.959

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