Answered: For a class project, statistics…

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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Question

For a class project, statistics students asked students in their class (30 students) how many hours of sleep they had gotten the night before, and also recorded each student's sex. The students found that the average sleep hours for the 12 males in the class was 5.8 hours with a standard deviation of 1.5 and for the 18 females in the class the mean was 6.5 hours with a standard deviation of 1.2 hours. The distributions of sleep hours were fairly symmetric for both males and females. The students were interested in deciding whether males and females at their school tend to get different amounts of sleep on average.

When applying the "3S strategy" to these data, the observed statistic is:

Group of answer choices:

-Somewhere between 1.2 and 1.5 hours

-Somewhere between 5.8 and 6.5 hours

-5.8 hours for females and 6.5 for males

-0.7 hours

When applying the "3S strategy" to these data. In the simulation, you should have:

Group of answer choices:

-18 slips of paper total

-12 slips of paper total

-30 slips of paper total

When applying the "3S strategy" to these data. In the simulation, you should have

Group of answer choices:

-Male/female written on each slip of paper

-The average sleep times written on each slip of paper

-The sleep time for the student written on each slip of paper

After shuffling the slips you should deal the slips into:

Group of answer choices:

-You do not need to deal the slips into two piles

-Two piles of 15 slips each

-One pile of 18 and one pile of 12

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 + ...

Expert Solution

Step 1

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From the given information, the mean of the males is 5.8 and the mean of the females is 6.5

Observed difference is, $|6.5 - 5.8| = 0.7$

Correct option: 0.7 hours