3. The growth of a certain bean plant (Phaseolus vulgaris) was desired. The height of 17 such plants was recorded after two weeks. The mean height was 103 mm, and the standard error of the mean was ±2.84 mm (for 95% confidence).
a. Determine the sample standard deviation (mm).
b. For 95% confidence, provide the probable range of the height (mm).
c. Discuss how the sample standard deviation and the standard error of the mean might change if 34 plants had been used.
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