93 9994 9994 9994 9994 999s 999 9996 996 9991 9992 9992 9992 9995 0.7% or 75% 00

Question

93 9994 9994 9994 9994 999s 999 9996 996 9991 9992 9992 9992 9995 0.7% or 75% 000, or 80% 1.04 1.15 certain strain of bacteria occurs in all raw milk. Let x be the number of bacteria in a mi lliliter of milk. The health department has found that if the milk is not contaminated, then x has a normal distribution. standard deviation is = 3. In a large commercial dairy, the health inspector takes 10 random samples of the milk produced each day. At the end of the day, the bacteria count in each of the 10 samples is averaged to obtain the sample mean bacteria count. (6 pts) For a sample size of n = 10 what are the mean and standard deviation of 9. A The mean of the x distribution is = 25, and the A) -16.3 (3 6 B) (2pts) What is the distribution of X for n-10? Is this distribution exact or approximate? a,5 approximate 9 exact (10 pts) For 10 samples find the probability that X lies between 23.5 and 26.5 bacteria per milliliter? Draw necessary graphs to show the probability under the curve. C) 23. s - 2S I,58

Explanation / Answer

mean = 25
sigma = 3

a)
mena = 25
std.dev. = 3/sqrt(10) = 0.94868

b)
Approximate normal

c)
P(23.5 < X < 26.5)
= P((23.5 - 25)/0.94868 < z < (26.5 - 25)/0.94868)
= P(-1.5811 < z < 1.5811)
= 0.8862

Related Questions

Navigate

• Browse (All)
• Browse 9
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.