A random sample of 100 two-month old babies is obtained, and the mean head circumference is found to be 40.6 cm. Assume that the population standard deviation is known to be 1.6 cm. Using a significance level of 0.05, test the claim that the mean head circumference of all two-month old babies is not equal to 40.0cm.d.) Determine the P-value. (Round to four decimal places.)e.) Determine the conclusion of the test.A) At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are statistically significant.B) At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.C) At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.D)At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

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Answered: A random sample of 100 two-month old…

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

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ISBN:9780079039897

Author:Carter

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Chapter10: Statistics

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Problem 22SGR

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A random sample of 100 two-month old babies is obtained, and the mean head circumference is found to be 40.6 cm. Assume that the population standard deviation is known to be 1.6 cm. Using a significance level of 0.05, test the claim that the mean head circumference of all two-month old babies is not equal to 40.0cm.

d.) Determine the P-value. (Round to four decimal places.)

e.) Determine the conclusion of the test.

A) At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
B) At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
C) At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
D)At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

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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