An apple producer sells their product in bags that each contain 16 apples. These apples have a mean weight of 80 grams and a standard deviation of 5 grams. Suppose that each bag represents an SRS of apples, and you calculate the mean weight of the apples in each bag. Calculate the mean and standard deviation of the sampling distribution of x.A survey of attendance records shows that high school seniors average 10.5 sick days per school year with a standard deviation of 5.25 days. In an effort to reduce the number of absences, a high school principal offers $50 to each senior who has perfect attendance for the school year. The principal asks for $500 from the school board to fund his idea. If there are 350 students in the senior class, will he have enough money? Provide mathematical reasoning to defend your answer.

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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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An apple producer sells their product in bags that each contain 16 apples. These apples have a mean weight of 80 grams and a standard deviation of 5 grams. Suppose that each bag represents an SRS of apples, and you calculate the mean weight of the apples in each bag. Calculate the mean and standard deviation of the sampling distribution of x.
A survey of attendance records shows that high school seniors average 10.5 sick days per school year with a standard deviation of 5.25 days. In an effort to reduce the number of absences, a high school principal offers $50 to each senior who has perfect attendance for the school year. The principal asks for $500 from the school board to fund his idea. If there are 350 students in the senior class, will he have enough money? Provide mathematical reasoning to defend your answer.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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