Respuesta :
Answer:
[tex]\bar{x} = 1.345[/tex] is the point estimate for mean value of thuickness of paint.
[tex]\bar{x} = 1.345[/tex] is the point estimate for median value of thickness of paint.
Step-by-step explanation:
We are given the following sample for thickness for low-viscosity paint.
0.87, 0.88, 0.88, 1.01, 1.09, 1.22, 1.29, 1.31, 1.32, 1.49, 1.59, 1.62, 1.65, 1.71, 1.76, 1.83
a) Point estimate of the mean value of coating thickness.
We use the sample mean to estimate the mean value of the coating thickness.
[tex]Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]
[tex]Mean =\displaystyle\frac{21.52}{16} = 1.345[/tex]
[tex]\bar{x} = 1.345[/tex] is the point estimate for mean value of thickness of paint.
b) We are given that the distribution of coating thickness is normal, thus,
Mean = Median = Mode
[tex]\text{Median} = \bar{x} = 1.345[/tex]
[tex]\bar{x} = 1.345[/tex] is the point estimate for median value of thickness of paint.
