MATH 1330 CHAPTER 7 (BLACKBOARD) ASSIGNMENT PLEAS ompleted the Chapter 7 assignm
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Question
MATH 1330 CHAPTER 7 (BLACKBOARD) ASSIGNMENT PLEAS ompleted the Chapter 7 assignment on Blackboard, Work the Chapter 7 quiz. Do not turn in this paper (SPRING 2016) Due 11-3-1n E REVIEW THE FOLLOWING PROBLEMS THEN WORK THE CHAPTER 7 ASSIGNMENT. After you have Jecause similar qu estions are on the Blackboard assignment. OBJECTIVES OF CHAPTER 7 Know how to compute probabilities under the normal distribution for Mear Know how to calculate probabilities under the normal distribution for proportion. Compute values of X or P for the population under the normal when a probability is known. Chapter 7.2 Problem 28, page 308: according to a recent National Health Statistics Reports, the weight of male babies less than 2 months old in the United States is normally distributed with a mean = 11.5 pounds and a standard deviation of 2.7 pounds. a) What is the proportion of babies weigh more than 13 pounds? b) What is the proportion of babies weigh less than 15 pounds? c) What is the proportion of babies weigh between 10 and 14 pounds? d) Is it unusual for a baby to weigh more than 17 pounds?Explanation / Answer
Solution:
Given in the question:
Mean = 11.5
Standard Deviaiton= 2.7
P(Xbar>13)
Z = (13-11.5)/2.7 = 0.5555
P(Xbar>13) = 1-P(Xbar<13) = 1- 0.7088 = 0.2912 or 29.12%
P(Xbar<15)
Z = (15-11.5)/2.7 = 3.5/2.7 = 1.29629
P(Xbar<15) from z table is 0.9015 or 90.15%
P(10<X<14)
Z = (10-11.5)/2.7 = -0.5555
Z = (14-11.5)/2.7 = 0.9259
P(10<X<14) = P(X<14) - P(X<10)
P(10<X<14) = 0.8212 - 0.2912 = 0.53 or 53%
For more than 17 pounds
Z = (17-11.5)/2.7
Z = 5.5/ 2.7 = 2.037
Z is b/w -3 to 3 so it is usual baby weight more than 17 pounds
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