A company produces packets of soap powder labeled "Giant Size 32 Ounces." The actual weight of soap powder in such a box has a Normal distribution, with a mean of 33 oz and a standard deviation of 0.5 oz. To avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. To avoid losing money, it labels the top 5% (the heaviest 5%) overweight. How heavy does a box have to be for it to be labeled overweight? a.33.82 oz b.31.80 oz c.34.62 oz d.34.15 oz An SRS of 25 recent birth records at the local hospital was selected. In the sample, the average birth weight was x = 119.6 ounces. Suppose the standard deviation is known to be = 6.5 ounces. Assume that in the population of all babies born in this hospital, the birth weights follow a Normal distribution, with mean . The standard deviation of the sampling distribution of the mean is: a.6.52 ounces. b.0.02 ounces. c.0.38 ounces. d.1.30 ounces.

1... A company produces packets of soap powder labeled "Giant Size 32 Ounces." The actual weight…

Answered: A company produces packets of soap…

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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A company produces packets of soap powder labeled "Giant Size 32 Ounces." The actual weight of soap powder in such a box has a Normal distribution, with a mean of 33 oz and a standard deviation of 0.5 oz. To avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. To avoid losing money, it labels the top 5% (the heaviest 5%) overweight. How heavy does a box have to be for it to be labeled overweight?

a.
33.82 oz

b.
31.80 oz

c.
34.62 oz

d.
34.15 oz
1. An SRS of 25 recent birth records at the local hospital was selected. In the sample, the average birth weight was x = 119.6 ounces. Suppose the standard deviation is known to be = 6.5 ounces. Assume that in the population of all babies born in this hospital, the birth weights follow a Normal distribution, with mean . The standard deviation of the sampling distribution of the mean is:
  
  a.
  6.52 ounces.
  
  b.
  0.02 ounces.
  
  c.
  0.38 ounces.
  
  d.
  1.30 ounces.

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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