For each of the following situations determine if the Central Limit Theorem can be applied: (Type Y for Yes and N for No) a. In the world populations, normal body temperature follows a normal distribution with mean = 98.6 degrees F and a standard deviation of 0.6. The mean body temperature will be determined for a randomly selected group of 14 individuals.Answer:Blank 1 b. Mean number of songs on a student’s IPOD will be determined for a randomly selected group of 10 students. In the college population, it is known that the number of songs on a student’s iPod is skewed to the left.Answer:Blank 2 c. Now assume that you are randomly selecting 800 students to determine the mean number of songs on the iPod.Answer:Blank 3 For each of the following situations determine if the Central Limit Theorem can be applied: (Type Y for Yes and N for No)a. In the world populations, normal body temperature follows a normal distribution with mean = 98.6 degrees Fand a standarddeviation of 0.6. The mean body temperature will be determined for a randomly selected group of 14 individuals.Answer:Blank 1b. Mean number of songs on a student's IPOD will be determined for a randomly selected group of 10 students. In the collegepopulation, it is known that the number of songs on a student's iPod is skewed to the left.Answer:Blank 2C. Now assume that you are randomly selecting 800 students to determine the mean number of songs on the iPod.Answer:Blank 3

Given that X~Normal(μ=98.6 , ?=0.6) A) n=14 B) n=10 C) n=800

Answered: For each of the following situations…

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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For each of the following situations determine if the Central Limit Theorem can be applied: (Type Y for Yes and N for No)

a. In the world populations, normal body temperature follows a normal distribution with mean = 98.6 degrees F and a standard deviation of 0.6. The mean body temperature will be determined for a randomly selected group of 14 individuals.

Answer:Blank 1

b. Mean number of songs on a student’s IPOD will be determined for a randomly selected group of 10 students. In the college population, it is known that the number of songs on a student’s iPod is skewed to the left.

Answer:Blank 2

c. Now assume that you are randomly selecting 800 students to determine the mean number of songs on the iPod.

Answer:Blank 3

For each of the following situations determine if the Central Limit Theorem can be applied: (Type Y for Yes and N for No)
a. In the world populations, normal body temperature follows a normal distribution with mean = 98.6 degrees Fand a standard
deviation of 0.6. The mean body temperature will be determined for a randomly selected group of 14 individuals.
Answer:Blank 1
b. Mean number of songs on a student's IPOD will be determined for a randomly selected group of 10 students. In the college
population, it is known that the number of songs on a student's iPod is skewed to the left.
Answer:Blank 2
C. Now assume that you are randomly selecting 800 students to determine the mean number of songs on the iPod.
Answer:Blank 3

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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