# Week 6 Lab Answers - Questions Work each question using...

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Gestation Period Under 28 Weeks 28 to 31 Weeks 32 to 35 Weeks 36 Weeks 37 to 39 Weeks 40 Weeks 41 Weeks 42 Weeks and over Question 2 Question 3 Question 4 Question 5 Under 28 Weeks 1.88 1.19 28 to 31 Weeks 4.07 1.87 32 to 35 Weeks 5.73 1.48 36 Weeks 6.46 1.2 37 to 39 Weeks 7.33 1.09 40 Weeks 7.72 1.05 41 Weeks 7.83 1.08 42 Weeks and over 7.65 1.12 Gestation Period Mean Birth Weight Standard Deviation Questions: Work each question, using Excel where appropriate. Remember, each gestation period is its own normal distribution. Thus, you will need to change the "mean" and "standard deviation" to reflect the question you are answering. 2. What percent of the babies born with each gestation period have a low birth weight (under 5.5 pounds)? a. under 28 weeks b. 32 to 35 weeks c. 37 to 39 weeks d. 42 weeks and over Answer: 3. Describe the weights of the top 10% of the babies born with each gestation period. a. 37 to 39 weeks b. 42 weeks and over Answer: 4. For each gestation period, what is the probability that a baby will weigh between 6 and 9 pounds at birth? a. 32 to 35 weeks b. 37 to 39 weeks c . 42 weeks and over Answer: 5. A birth weight of less than 3.3 pounds is classified by the NCHS as a "very low birth weight." What is the probability that a baby has a very low birth weight for each gestation period? a. under 28 weeks b. 32 to 35 weeks c. 37 to 39 weeks Answer: Note: To solve these change to the correc NORMDIST (x,mean, the given mean and s NORMINV (leftarea,m "leftarea" for the give

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Work each question, using Excel where appropriate. Remember, each gestation period is its own normal distribution. Thus, you will nee 2. What percent of the babies born with each gestation period have a low birth wei a. under 28 weeks b. 32 to 35 weeks c. 37 to 39 weeks d. 42 weeks and over Answer: mean a Under 28 weeks 1.88 1.19 Mean=μ= 1.88 Standard deviation =σ= 1.19 x= 6 z=(x-μ)/σ= 3.04 =(5.5-1.88)/1.19 Cumulative Probability corresponding to z= 3.04 is= Or Probability corresponding to x< 5.50 is Prob(Z)= b 32 to 35 weeks 5.73 1.48 Mean=μ= 5.73 Standard deviation =σ= 1.48 x= 6 z=(x-μ)/σ= -0.16 =(5.5-5.73)/1.48 Cumulative Probability corresponding to z= -0.16 is= Or Probability corresponding to x< 5.50 is Prob(Z)= c 37 to 39 weeks 7.33 1.09 Mean=μ= 7.33 Standard deviation =σ= 1.09 x= 6 z=(x-μ)/σ= -1.68 =(5.5-7.33)/1.09 Cumulative Probability corresponding to z= -1.68 is= Or Probability corresponding to x< 5.50 is Prob(Z)= d 42 weeks and over 7.65 1.12 Mean=μ= 7.65 Standard deviation =σ= 1.12 x= 6 z=(x-μ)/σ= -1.92 =(5.5-7.65)/1.12 Cumulative Probability corresponding to z= -1.92 is= Or Probability corresponding to x< 5.50 is Prob(Z)= standard deviation
3. Describe the weights of the top 10% of the babies born with each gestation perio a. 37 to 39 weeks b. 42 weeks and over Significance level α= 0.1 No of tails= 1 Z value corresponding to 0.1 significance level and 1 tails= 1.2816 Answer: mean a. 37 to 39 weeks 7.33 1.09 Mean=μ= 7.33 Standard deviation =σ= 1.09 z=(x-μ)/σ= 1.2816 8.73 =7.33+(1.2816*1.09) Answer: more than 8.73 pounds b. 42 weeks and over 7.65 1.12 Mean=μ= 7.65 Standard deviation =σ= 1.12 z=(x-μ)/σ= 1.2816 9.09 =7.65+(1.2816*1.12) Answer: more than 9.09 pounds 4. For each gestation period, what is the probability that a baby will weigh between a. 32 to 35 weeks b. 37 to 39 weeks c. 42 weeks and over Answer: mean a. 32 to 35 weeks 5.73 1.48 Mean=μ= 5.73 pounds Standard deviation =σ= 1.48 pounds x1=

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