MATH 202 Week 3 Recitation Questions 1) When a production process is operating c
ID: 3049380 • Letter: M
Question
MATH 202 Week 3 Recitation Questions 1) When a production process is operating correctly, the number of units produced per hour has a normal distribution with a mean of 92 and standard deviation of 3.6 random sample of 4 hou rs was taken. Find the mean of the sampling distribution of the sample means. a. b. c. Find the variance of the sampling distribution of the sample means. Find the standard deviations of the sampling distribution of the sample means. d. What is the probability the sample mean exceeds 93 units?Explanation / Answer
a) the mean of the sampling distribution of the sample mean = 92
b)Variance of the sampling distribution of the sample means = (sd)^2/n = (3.6)^2/4 = 3.24
c) Standard deviation of the sampling distribution of the sample means = sd/sqrt(n) = 3.6/sqrt(4) = 1.8
d) P(X > 93) = P((X - mean)/(sd/sqrt(n)) > (93 - mean)/(sd/sqrt(n)))
= P(Z > (93 - 92)/(3.6/sqrt(4)))
= P(Z > 0.56)
= 1 - P(Z < 0.56)
= 1 - 0.7123
= 0.2877
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.