Question 7 0 out of 4 points Which of the following about Central Limit Theorem

Question

Question 7 0 out of 4 points Which of the following about Central Limit Theorem is NOT correct? Selected If the underlying population follows normal distribution, the sampling distribution of the mean will always follow normal distribution Answer: no matter how small the sample size is Question 8 3 out of 3 points In statistics analysis, one important assumption people always make is normality. Which of the followings about normality is NOT true? In real-life, majority of the phenomena should follow normal distribution, it may not be necessary to worry about its normality. Selected Answer: Question 9 5 out of 10 points A machine used to extract juice from oranges obtains an amount from each orange that is approximately normally distributed, with a mean of 5 ounces and a standard deviation of 0.5 ounces (can be understood as population mean and population standard deviation). a What is the probability that a randomly selected orange will contain at least 4.8 ounces? [a](4DP) b. 69.7% of oranges will contain at least how many ounces of juice? (2DP) C. 67% of oranges will contain an amount that is between what two values (symmetrically distributed around the mean)XL=[d1] and XU: [d21. (2DP)

Explanation / Answer

7) foir this options are required . Please erply for this.

9)

a)probability to contain at least 4.8 ounce =P(X>4.8)=1-P(X<4.8)=1-P(Z<(4.8-5)/0.5)=1-P(Z<-0.4)=1-0.3446=0.6554

b)for 69.7 highest juice contiaing orangeres at 30.3 percentile ; z =-0.5158

hence corresponding weight =mean +z*std deviation =4.74 ounce

c) for 67% middle values; critical value at (0.5+0.67/2 =0.835) percentile z =0.9741

hence interval values =mean +z*std deviation

XL =4.51

XU =5.49

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

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