µ1 = mean of the children's head circumferencesµ2 = mean of the children's head circumferencesTo find out if the head circumferences of sixth-grade boys in primary school are larger, on average, than those of girlsA random sample of 17 boys and another of 15 girls was taken. Their head circumferences were measured and it was found that the mean in children was 48.8 cm. with a standard deviation of 0.5 cm. and that the mean in girls was 48.5 with a standard deviation of 0.4.Can it be said, with α = 0.01, that the mean head circumference of boys is greater than that of girls?Calculate with 4 decimalsChoosethe correct conclusionthe correct interpretation Select one:a)H0 is rejectedThere is insufficient evidence to consider with 99% confidence that the head circumference of sixth grade boys is greater than that of girls in the same grade.b)H0 is not rejectedIt is ensured, with 99% confidence, that the head circumference of sixth grade boys is greater than that of girlsc)H0 is not rejectedThere is insufficient evidence to consider with 99% confidence that the head circumference of sixth grade boys is greater than that of girls in the same grade.d)H0 is rejectedIt is ensured, with 99% confidence, that the head circumference of sixth grade boys is greater than that of girls

Given that Sample Mean 1 (\bar X_1)(Xˉ1) = 48.848.8 Sample Standard Deviation 1 (s_1)(s1) =…

Answered: Select one: a) H0 is rejected There…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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µ1 = mean of the children's head circumferences

µ2 = mean of the children's head circumferences

To find out if the head circumferences of sixth-grade boys in primary school are larger, on average, than those of girls

A random sample of 17 boys and another of 15 girls was taken. Their head circumferences were measured and it was found that the mean in children was 48.8 cm. with a standard deviation of 0.5 cm. and that the mean in girls was 48.5 with a standard deviation of 0.4.

Can it be said, with α = 0.01, that the mean head circumference of boys is greater than that of girls?

Calculate with 4 decimals

Choose

the correct conclusion
the correct interpretation

Select one:

H0 is rejected
There is insufficient evidence to consider with 99% confidence that the head circumference of sixth grade boys is greater than that of girls in the same grade.

H0 is not rejected
It is ensured, with 99% confidence, that the head circumference of sixth grade boys is greater than that of girls

H0 is not rejected
There is insufficient evidence to consider with 99% confidence that the head circumference of sixth grade boys is greater than that of girls in the same grade.

H0 is rejected
It is ensured, with 99% confidence, that the head circumference of sixth grade boys is greater than that of girls

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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