Question 43: The distribution of scores of students heading to college in the math section of the SAT follows a normal d
Posted: Wed May 11, 2022 12:03 pm
Question 43: The distribution of scores of students heading
to college in the math section of the SAT follows a normal
distribution with mean 𝜇 = 520 and standard
deviation 𝜎 = 115.
𝑋 = The score of a student heading to college in the math
section of the SAT
x̄ = The mean score of 100 students heading to
college in the math section of the SAT
∑ 𝑋 = The total score of 100 students heading to
college in the math section of the SAT (Please show all
formulas, calculations and the curves)
(a) What math SAT score is 2 standard deviations below the
mean?
(b) What is the probability that the score of a student is
less than 480?
(c) What is the distribution of x̄ ?
(d) What is the probability that the mean scores
of 100 students is
between 518 and 530?
to college in the math section of the SAT follows a normal
distribution with mean 𝜇 = 520 and standard
deviation 𝜎 = 115.
𝑋 = The score of a student heading to college in the math
section of the SAT
x̄ = The mean score of 100 students heading to
college in the math section of the SAT
∑ 𝑋 = The total score of 100 students heading to
college in the math section of the SAT (Please show all
formulas, calculations and the curves)
(a) What math SAT score is 2 standard deviations below the
mean?
(b) What is the probability that the score of a student is
less than 480?
(c) What is the distribution of x̄ ?
(d) What is the probability that the mean scores
of 100 students is
between 518 and 530?