Question: Given the data 28.6526.5526.6527.6527.3528.3526.85 28.6529.6527.8527.0528.2528.8526.75 27.6528.4528.6528.4531.6526.3527.75 29.2527.6528.6527.6528.5527.6527.25 Determine (a) The mean, (b) The standard deviation, (c) The variance, (d) The coefficient of variation, and (e)

Given the data

28.6526.5526.6527.6527.3528.3526.85

28.6529.6527.8527.0528.2528.8526.75

27.6528.4528.6528.4531.6526.3527.75

29.2527.6528.6527.6528.5527.6527.25

Determine

(a) The mean,

(b) The standard deviation,

(c) The variance,

(d) The coefficient of variation, and

(e) The 90% confidence interval for the mean.

(f) Construct a histogram. Use a range from 26 to 32 with increments of 0.5.

(g) Assuming that the distribution is normal and that your estimate of the standard deviation is valid, compute the range (that is, the lower and the upper values) that encompasses 68% of the readings. Determine whether this is a valid estimate for the data in this problem.


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