When dating someone, what matters more to you: looks or personality? This question was the focus of a community college student’s class project for an introductory statistics course. She devised a 25-point scale. An answer of 1 means “personality matters most and looks don’t matter at all.” A score of 25 means “looks matter most and personality does not matter at all.” Her hypothesis is that the mean scores for males and females will differ, but she does not have an opinion about which population will have a higher mean score.Here are her hypotheses.H0: μ1 − μ2 = 0Ha: μ1 − μ2 ≠ 0She chose a random sample of 10 classes from the schedule at Los Medanos College and distributed surveys in those classes. Survey respondents totaled 170 students: 85 females and 85 males.We used her data to run a hypothesis test for a difference in two population means. Here are the results:he results: tdfpCohen's dGender-4.111680.0000-0.629 Which conclusion is the most accurate summary of the results of this study? Group of answer choicesa) This study gives strong evidence that male community college students have a higher mean score on the “personality vs looks” scale than female students. (The P-value is about 0.)b) Male and female community college students have essentially identical responses to the question “What matters more to you, looks or personality?” since the P-value is about 0.c) We cannot conclude anything from this study because the data does not meet the conditions for use of the hypothesis test.d) Male and female community college students do not agree on the question, “What matters more to you, looks or personality?” This study gives strong evidence that mean score for all males at the community college differs from the mean score for all females. (The P-value is about 0.)

Given: Test statistic is t=-4.11 df=168 p value=0.0000

Answered: Which conclusion is the most accurate…

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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When dating someone, what matters more to you: looks or personality? This question was the focus of a community college student’s class project for an introductory statistics course. She devised a 25-point scale. An answer of 1 means “personality matters most and looks don’t matter at all.” A score of 25 means “looks matter most and personality does not matter at all.” Her hypothesis is that the mean scores for males and females will differ, but she does not have an opinion about which population will have a higher mean score.

Here are her hypotheses.

H₀: μ₁ − μ₂ = 0
H_a: μ₁ − μ₂ ≠ 0

She chose a random sample of 10 classes from the schedule at Los Medanos College and distributed surveys in those classes. Survey respondents totaled 170 students: 85 females and 85 males.

We used her data to run a hypothesis test for a difference in two population means. Here are the results:

he results:

	t	df	p	Cohen's d
Gender	-4.11	168	0.0000	-0.629

Which conclusion is the most accurate summary of the results of this study?

Group of answer choices

a) This study gives strong evidence that male community college students have a higher mean score on the “personality vs looks” scale than female students. (The P-value is about 0.)

b) Male and female community college students have essentially identical responses to the question “What matters more to you, looks or personality?” since the P-value is about 0.

c) We cannot conclude anything from this study because the data does not meet the conditions for use of the hypothesis test.

d) Male and female community college students do not agree on the question, “What matters more to you, looks or personality?” This study gives strong evidence that mean score for all males at the community college differs from the mean score for all females. (The P-value is about 0.)

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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