The distribution of baby weights at birth is left skewed becauseof premies (premature babies) who have particularly low birthweights. However, within a close range of gestation times, birthweights are approximately Normally distributed. For babies bornat full term (37 to 39 completed weeks of gestation), forinstance, the distribution of birth weights (in grams) isapproximately N(3350, 440). Low-birth-weight babies(weighing less then 2500 grams, or about 5 lbs 8 oz) are at anincreased risk of serious health problems. Among those, very-low-birth-weight babies (weighing less than 1500 grams, orabout 3 lbs 4 oz) have the highest risk of experiencing healthproblems.a) What proportion of babies born full term are low-birth-weight babies? (i.e. weigh less then 2500 g)b) Above what weight are the largest (heaviest) 10% of fullterm babies?

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Answered: The distribution of baby weights at…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Each point on the Kaplan Meier curve represents: A. The number of people at risk at a given point in time. B. The cumulative probability of survival up to that point. C. The prevalence of disease at a given time point. D. The probability of survival at that time point only.
The following data represents the actual liquid weight in 12 "twelve-ounce" cans. 11.95 11.91 11.86 11.94 12.00 11.93 12.00 11.94 12.10 11.95 11.99 11.94 a) Find appropriate number of classes and recommended class width. Create a frequency table (only first 2 columns) satisfying your findings in part a).
The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss from all sources, at various temperatures in degrees Celsius. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (oC)(oC) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Percent heat loss from beak 33 32 33 32 39 43 56 48 44 49 44 56 58 60 60 63 The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: (Use decimal notation. Enter the values of the intercept and slope rounded to two…
Illustration 17.40. In a certain factory turning out fountain pens, there is a small chance 1/500 for any pen to be defective. The are supplied in packets of 10. Use Poisson's distribution to calculate the approximate number of packets containing no defective, one defective, two defective and three defective pens, respectively in a consignment of 20,000 packets. (e-0-02=0.9802 approx.)
The duration (in minutes) for a sample of 20 flight-reservation telephone calls is shown in the following table: 2.1 10.4 4.8 5.5 4.5 2.8 5.9 10.5 4.8 3.3 5.8 6.6 7.5 4.8 5.5 3.5 5.3 3.6 7.8 6.0 NOTE: Ex=111 and x = 709.82 Assuming the population has a normal distribution, find a 95% confidence interval for the population mean time.
A sample of birth weights of 23 girls was taken. Below are the results (in g): 2343.1 3651.5 3043 2570.9 2555 2727.1 2985 2601.5 3772.8 3151.5 2773.3 2702.6 | 2776.9 3436.8 3028.4 3447.5 1838 3356.9 3405 3057.1 3405.5 3926.3 2426.7 * = 2999.2g s = 507.72 g Use a 10% significance level to test the claim that the standard deviation of birth weights of girls is different from the standard deviation of birth weights of boys, which is 550 g. Round all answers to 3 decimal places if possible.
A sample of birth weights of 38 girls was taken. Below are the results (in g): 4002.7 3558.2 31 3104.4 3405.2 3094.4 3145.7 2903.5 3641.1 3530.4 2348.2 3027.4 3542.7 2151.5 3583.6 3280.3 4072.1 2989.5 3595.1 2444.4 3537.2 1969 3720.5 3440.5 3395.8 3323.1 3475.6 3159.5 3099.8 3070.7 2838.1 2997.8 2584 2577 2850.5 2995.6 2940.9 3845.8 3173.6 (Note: The average and the standard deviation of the data are respectively 3168.8 g and 480.8 g.) Use a 1% significance level to test the claim that the standard deviation of birthweights of girls is less than the standard deviation of birthweights of boys, which is 510 g. Procedure: Select an answer Assumptions: (select everything that applies) Population standard deviation is unknown The number of positive and negative responses are both greater than 10 O Population standard deviation is known Normal population Sample size is greater than 30 Simple random sample
The length of a widget is normally distributed with µ =6” and σ = 0.05”. What is the lower specification if 10.03% of the widgets are scrapped for being too short?
It costs more to produce defective items—since they must be scrapped or reworked—than it does to produce non-defective items. This simple fact suggests that manufacturers should ensure the quality of their products by perfecting their production processes instead of depending on inspection of finished products (Deming, 1986). In order to better understand a particular metal stamping process, a manufacturer wishes to estimate the mean length of items produced by the process during the past 24 hours. a. How many parts should be sampled in order to estimate the population mean to within .2 millimeter (mm) with 95% confidence? Previous studies of this machine have indicated that the standard deviation of lengths produced by the stamping operation is about 2 mm. b. Time permits the use of a sample size no larger than 225. If a 95% confidence interval for m is constructed with n = 225, will it be wider or narrower than would have been obtained using the sample size determined in part a?…
An author claimed that his annual book sales increased after the year 2000. Past data indicates that the average annual sales for his books are Php 200 M (200 million pesos). The data for the annual sales are normally distributed as shown (in million peso): 2000: 50 2001: 782006: 4002011: 1892016: 83 2002: 3002007: 2902012: 2052017: 132 2003: 2502008: 932013: 3722018: 173 2004: 2002009: 1522014: 4262019: 195 2005: 1852010: 2372015: 252020: 450 Are the author's words true at 98% confidence? In your complete solution, state the null and alternative hypothesis and the complete calculation of test statistic.
A grouped frequency distribution has been obtained for the number of personnel working in 100 workplaces. Accordingly, the average number of personnel per enterprise is calculated as x̄ = 48.98. So what is the value of ∑ ni?
A sample of birth weights of 30 girls was taken. Below are the results (in g): 3813.4 3865.6 3640.6 3960.9 3344.1 3731.1 3764.6 2590.2 3548.2 2991.3 3116.1 2803 3202.7 2893.8 3606.7 3434.1 3595.8 2911.2 2916.3 2955.6 2942 3737.8 2713.4 3962.3 2833.1 3099.7 3013.2 3568.8 3671.4 1958 (Note: The average and the standard deviation of the data are respectively 3272.8 g and 480.82 g.) Use a 1% significance level to test the claim that the standard deviation of birthweights of girls is less than the standard deviation of birthweights of boys, which is 520 g. Procedure: One variance y Hypothesis Test v Assumptions: (select everything that applies) Population standard deviation is unknown Normal population I Sample size is greater than 30 | Population standard deviation is known a Simple random sample | The number of positive and negative responses are both greater than 10 Part 2 of 5 Step 1. Hypotheses Set-Up: where o* is the Но: 1 population standard deviation v f and the units * 270400 are…

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