Question

Statistics

Prompt 2: Gestation Period Weight of the babies born after a gestation period of 34 weeks is normally distributed with mean weight of 2600 grams and a standard deviation of 660 grams. Weight of the babies born after a gestation period of 40 weeks is normally distributed with mean weight of 3500 grams and a standard deviation of 470 grams. Please answer the following questions in detail in the given order. Please write your answers on a letter size paper and be sure that you indicate the question number in your answers. 1. Graph the normal curve for the weight of the babies born after a gestation period of 34 weeks and 40 weeks separately. Please be sure that each graph includes the mean and the inflection points. 2. Suppose 34-week gestation period baby, named A, weighs 3000 grams and 40-week gestation period baby, named B, weighs 4000 grams. Calculate the z-score of baby A's weight and the z-score of baby B's weight. Please show your work in great detail. 3. Does baby A or baby B weigh less relative to the gestation period? Why? Please explain your answer in great detail and use complete sentences. 4. What is the probability that a randomly selected 34-week gestation period baby will weigh at most 2700 grams? Please draw the corresponding normal curve, shade the area under the normal curve that represents the probability calculation, and show your work in great detail. 5. What is the probability that a randomly selected 34-week gestation period baby will weigh at least 1900 grams? Please draw the corresponding normal curve, shade the area under the normal curve that represents the probability calculation, and show your work in great detail. 6. What is the probability that a randomly selected 40-week gestation period baby will weigh between 3000 and 3700 grams? Please draw the corresponding normal curve, shade the area under the normal curve that represents the probability calculation, and show your work in great detail. 7. Pediatricians recommend that newborn 34-week gestation period babies need to stay in NICU if their weights are below 45th Not to stay at NICU, what should the weight of 34-week gestation period baby at least be? Please draw the corresponding normal curve, shade the area under the normal curve that corresponds to your calculation, and show your work in great detail.

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