Suppose x has a normal distribution with mean? = 28 and standard deviation ? = 4.
a) Describe the distribution of x values for sample sizen = 4. (Round ?x to twodecimal places.)
b) Describe the distribution of x values for sample sizen = 16. (Round ?x to twodecimal places.)
c) Describe the distribution of x values for sample sizen = 100. (Round ?x to twodecimal places.)
d) How do the x distributions compare for the varioussamples sizes?
I. The means are the same, but the standard deviations aredecreasing with increasing sample size.
II. The standard deviations are the same, but the means aredecreasing with increasing sample size.
III. The means and standard deviations are the same regardlessof sample size.
VI. The means are the same, but the standard deviations areincreasing with increasing sample size.
V. The standard deviations are the same, but the means areincreasing with increasing sample size.
