Answered: 1)A hospital in a large city records…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter29: Tolerance, Clearance, And Interference

Section: Chapter Questions

Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...

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1)A hospital in a large city records the weight of every infant born at the hospital.
The distribution of weights is normally distributed, with a mean µ “ 2.9 kilograms and
a standard deviation σ “ 0.45. Determine the following and attach R code.
(a) The percentage of infants who weighted less than 2.1 kilograms.
(b) The percentage of infants who weighed between 1.8 and 4.0 kilograms.
(c) The weight that divides the distribution such that 5% of the weights are above it.
(d) If 15,000 infants have been born at the hospital, approximately how many weighed
less than 3.5 kilograms?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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