Assume that the duration of human pregnancies can be described by a Normal model with mean 265 days and standarddeviation 17 days.a) What percentage of pregnancies should last between 267 and 275 days?b) At least how many days should the longest 25% of all pregnancies last?c) Suppose a certain obstetrician is currently providing prenatal care to 60 pregnant women. Let y represent the meanlength of their pregnancies. According to the Central Limit Theorem, what's the distribution of this sample mean, y?Specify the model, mean, and standard deviation.d) What's the probability that the mean duration of these patients' pregnancies will be less than 256 days? Assume that the duration of human pregnancies can be described by a Normal model with mean 265 days and standarddeviation 17 days.a) What percentage of pregnancies should last between 267 and 275 days?b) At least how many days should the longest 25% of all pregnancies last?c) Suppose a certain obstetrician is currently providing prenatal care to 60 pregnant women. Let y represent the meanlength of their pregnancies. According to the Central Limit Theorem, what's the distribution of this sample mean, y?Specify the model, mean, and standard deviation.d) What's the probability that the mean duration of these patients' pregnancies will be less than 256 days?

Let X denote the duration of human pregnancies and it follows normal distribution with mean μ=265…

Answered: Assume that the duration of human…

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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Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 8 million dollars and a standard deviation of 1.3 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 10% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place. 00 0 million dollars X S ? Check acer Q tab esc ! 1 9. a @ 2 W →> S #m 3 X e C d $ LAS 4 C r % 5 f t > < 6 g y & JX b 7 h C n K1300
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?…
Example 19.13 A company used three different methods of advertising its product in three cities. It later found the increased sales (in thousand rupees) in identical retail outlets in the three cities as follows: City A: City B: City C: 70 58 60 45 55 62 89 72 65 57 48 55 75 68 45 52 63 53 59 71 70 63 60 58 75

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