A random sample of n=12 of roses was chosen nad the length of roses measured resulting in these observations:
11.3 10.7 12.4 15.2 10.1 12.1 16.2 10.5 11.0 11.4 10.7 12.0
a) Find out the point estimate ofσ ( pop standard deviation) What statistic is used bias/unbiased?
b) making no assumptions of shape of pop distribution give a point estimate of pop median. what statistic is used?
c) Assume the population distribution is symmetric but with heavier tails than normal distribution. Provide a point estimate of pop mean based upon statistic which gives protection against outliers.
d) Assume the distribution is noral. Then the 90th % of distribution is μ+1.28σ. Calculate a point estimate for this percentile.