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# Hypothesis

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A social psychology graduate student hypothesizes that taller women tend to date taller men, and that shorter women tend to date shorter men. To test this hypothesis, she visits a dance club just off campus and interviews the first 10 couples she meets, measuring (to the nearest centimeter) the heights of the men (X) and the heights of the women (Y). The data comes out as follows:
MEN WOMEN
159 150
158 151
166 160
159 159
174 153
179 181
166 162
167 156
164 141
167 153

a. Is the hypothesis correct?

b. My best friend is a female whose height is 169. Based on these interviews, can you guess how tall her mate is likely to be?

##### Solution Summary

A social psychology graduate student hypothesis that taller women tend to date taller men, and that shorter women tend to date shorter men. To test this hypothesis, she visits a dance club just off campus and interviews the first 10 couples she meets, measuring (to the nearest centimeter) the heights of the men (X) and the heights of the women (Y). The data comes out as follows:
MEN WOMEN
159 150
158 151
166 160
159 159
174 153
179 181
166 162
167 156
164 141
167 153

a. Is the hypothesis correct?

b. My best friend is a female whose height is 169. Based on these interviews, can you guess how tall her mate is likely to be?

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###### Education
• BSc , Wuhan Univ. China
• MA, Shandong Univ.
###### Recent Feedback
• "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
• "excellent work"
• "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
• "Thank you"
• "Thank you very much for your valuable time and assistance!"

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