For the questions below, answer "cannot do" if the distribution is not normal.a) The distribution of temperature in January is N(43, 222)°.i) If a sample of 121 days in College Station in January is taken, what will be the sampling distribution for the mean?N( , 2)°ii) If a sample of only 4 days in College Station in January is taken, what will be the sampling distribution for the mean?N( , 2)°b) The distribution of the distance that a student travels to get to the school is highly right skewed with a mean of 0.3 miles, and a standard deviation of 0.8 miles.i) If a sample of 256 students is taken, what will be the sampling distribution for the mean?N( , 2) milesii) If a sample of 22 students is taken, what will be the sampling distribution for the mean?N( , 2) miles

a. i) Define a random variable X, that is the temperature of January.

Answered: For the questions below, answer "cannot…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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For the questions below, answer "cannot do" if the distribution is not normal.

a) The distribution of temperature in January is

N(43, 22²)°

.

i) If a sample of 121 days in College Station in January is taken, what will be the sampling distribution for the mean?

N( , ²)°

ii) If a sample of only 4 days in College Station in January is taken, what will be the sampling distribution for the mean?

N( , ²)°

b) The distribution of the distance that a student travels to get to the school is highly right skewed with a mean of 0.3 miles, and a standard deviation of 0.8 miles.

i) If a sample of 256 students is taken, what will be the sampling distribution for the mean?

N( , ²) miles

ii) If a sample of 22 students is taken, what will be the sampling distribution for the mean?

N( , ²) miles

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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