Question

0.85 0.88 0.88 1.06 1.09 1.12 1.29 1.31 1.42 1.49 1.59 1.62 1.65 1.71 1.76 1.83 Assume that the distribution of coating thickness is normal (a normal probability plot strongly supports this assumption). (a) Calculate a point estimate of the mean value of coating thickness. (Round your answer to four decimal places.)

Answer 1

μ = 1.3468

Explanation:

Given data:

Observations

0.85

0.88

0.88

1.06

1.09

1.12

1.29

1.31

1.42

1.49

1.59

1.62

1.65

1.71

1.76

1.83

sum of the observations = 21.55

now,

the total number of the given data, n = 16

now, the mean is given as:

Mean = (Sum of all the observation) / (Total number of observations)

on substituting the values in the above formula, we get

Mean = 21.55 / 16

or

Mean = 1.3468

Since, it is given that the data follows normal distribution.

thus, the normal mean can be used as the point of estimator (μ)

i.e μ = 1.3468