Question 19/20

Question 19 (1 point) A random variable is normally distributed. It has a mean of 245 and a standard deviation of 21. a.) For a sample of size 10, state the mean of the sample mean. b.) For a sample of size 10, state the standard deviation of the sample mean (the "standard error of the mean"). c.) For a sample of size 35, state the mean of the sample mean. d.) For a sample of size 35, state the standard deviation of the sample mean (the "standard error of the mean"). e.) TRUE or FALSE: As sample size increases, standard deviation of the sample mean (the "standard error of the mean") also increases. For parts (a) through (d), enter answer in decimal form rounded to nearest thousandth (3 places after decimal). Examples of correctly entered answers: 0.000 0.004 0.080 1.200 0.594 13.000 For part (e): Enter TRUE or FALSEQuestion 20 (1 point) Find the z-scores corresponding to the given areas under the standard normal distribution "bell curve". a. ) The area to the left of z is 15% b. ) The area to the right of z is 65%. C.) The area to the left of z is 10%. d. ) The area to the right of z is 5%. e. ) The area between -zand zis 95%. (Hint draw a picture and figure out the area to the left of the - z) f.) The area between - zand z is 99%. Remember, zis distributed as the standard normal distribution with mean # = 0 and standard deviation o = 1 For parts (a) through (d): Enter answers in decimal form rounded to nearest thousandth (3 places after decimal). Be sure to include sign! Examples of correctly entered answers: 0.000 -0.003 +0.070 +0.100 -0.395 +1.000 For parts (e) and (f): Enter both answers separated by comma (no spaces). Answers in decimal form rounded to nearest thousandth (3 places after decimal). Be sure to include sign! Examples of correctly entered answers: -0.003,+0.062 -0.093,-0.043 -1.323,+1.323 A/ AJ