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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.)

Respuesta :

Answer:

μ = 1.3468

Step-by-step 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

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