Question

1A) A certain population has a mean of 531 and a standard deviation of 34. Many samples of size 46 are 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 or uniform

1B) Consider a normal population with μ = 42 and σ = 5.4. Calculate the z-score for an x of 44.2 from a sample of size 12. (Give your answer correct to two decimal places.)

Answer 1

mean : H 531 standarZl_daiationsD=311 . Sample size, 2n-hb a Answer /sニ衹こ531 by Answes standard dauotien (R)-D 34 46

1B>Given and 44.2 ánd n-12 44.2-42 S、L, -Z-S(07( () 2-Scoreニ1.41 (C