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MKTG100 Numeracy and Stats
Assignment: 2HW8B Sampling
distribution of means
Given a normal distribution with and , and given you select a sample of n , complete parts (a) through (d).μ = 102 σ = 10 = 4
a. What is the probability that is less than ?X 94
P( )X < 94 =
(Type an integer or decimal rounded to four decimal places as needed.)
b. What is the probability that is between and ?X 94 96.5
P( )94 < X < 96.5 =
(Type an integer or decimal rounded to four decimal places as needed.)
c. What is the probability that is above ?X 103.2
P( )X > 103.2 =
(Type an integer or decimal rounded to four decimal places as needed.)
d. There is a % chance that is above what value?68 X
X =
(Type an integer or decimal rounded to two decimal places as needed.)
Given a normal distribution with and , and given you select a sample of , complete parts (a) through (d).μ = 51 σ = 8 n = 100
a. What is the probability that is less than ?X 49
P( )X < 49 =
(Type an integer or decimal rounded to four decimal places as needed.)
b. What is the probability that is between and ?X 49 50.5
P( )49 < X < 50.5 =
(Type an integer or decimal rounded to four decimal places as needed.)
c. What is the probability that is above ?X 51.7
P( )X > 51.7 =
(Type an integer or decimal rounded to four decimal places as needed.)
d. There is a % chance that is above what value?40 X
X =
(Type an integer or decimal rounded to two decimal places as needed.)