1) A certain population has a mean of519and a standard deviation of35. Many samples of size30are randomly selected and the means calculated.

(a) What value would you expect to find for the mean of all these sample means? (Give your answer correct to nearest whole number.)

(b) What value would you expect to find for the standard deviation of all these sample means? (Give your answer correct to two decimal places.)

(c) What shape would you expect the distribution of all these sample means to have?

skewed right

approximately normal

skewed left

uniform

2)Consider the following. (Give your answers correct to two decimal places.)

(a) Findz(0.06).

(b) Findz(0.27).

(c) Findz(0.72).

(d) Findz(0.91).

3)Consider the following. (Give your answers correct to four decimal places.)

(a) FindP(-2.09<z< 0.00).

(b) FindP(-1.76<z<2.05).

(c) FindP(z<-1.41).

(d) FindP(z<-0.43).