Answer:
a. mean=18.6
b. standard deviation=1.0
c. The distribution is a symmetry and mound-shaped but nowhere near normal.
Step-by-step explanation:
a. let [tex]\mu_x[/tex] be the sample mean.
-For a normal distributed sample, the population mean is equal to the sample mean:
[tex]\mu_x=\mu\\\\=18.6[/tex]
Hence, the sample mean is 18.6
b. Let s denote the sample standard deviation.
-For a normally distributed population, the sample standard deviation is calculated using the formula;
[tex]s=\frac{\sigma}{\sqrt{n}}\\\\=\frac{6}{\sqrt{36}}\\\\=1.0[/tex]
Hence, the sample standard deviation is 1.0
c. The sample has a mean of 18.6 and a standard deviation of 1.0
-Since it's derived from a normally distribted population, it will be symmetrical and have an almost normal shape.
-Hence, it is a symmetry and mound-shaped, but Not Normal.
