Answer:
One
Explanation:
Just one , he met a man. He didnt say and his seven wives which would have meant he was with them.
Answer:
Many decisions are taken at the margin
Explanation:
Many decision are taken at the margin.
He makes small changes at the margin in the number of hours spent training on each activity.
Paola and his wife both realise that increasing time spend in the pool will decrease his total triathlon time.
His time is fixed (20hrs) and anytime he wants to spend extra on one activity, i means that he cannot spend time on another (this is known as opportunity cost).
They are both on the same page in terms of trying to improve Paolo's total time (exploiting opportunities to makes themselves better off).
1hour switch in Paolo's point of view isa major change, whereas his wife recommends a wholesale change.
Paolo realises that as he spends more time in the pool improving his swim time, his run and cycle times will take a hit. As he swims more, his improvement is likely to slow down, while spending less time on cycling and running will cost him more in terms of time.
Hence Paolo is looking at the margins.
His wife on the other hand, is not, she is ignoring the interaction, may be forgetting the ncreasing deterioration in terms of time of the other 2 legs
Answer: (11.95, 14.11)
Explanation:
Let x be a random variable that represent the number of years of education.
Given: Sample size : n= 26
Sample mean : ![\overline{x}=13.03](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D13.03)
Sample standard deviation : s = 3.22
Significance level : ![\alpha=100\%-90\%=10\%=0.1](https://tex.z-dn.net/?f=%5Calpha%3D100%5C%25-90%5C%25%3D10%5C%25%3D0.1)
Degree of freedom: df = n-1 = 25
Critical t-value for
and df = 25 will be
![t_{\alpha/2, df}=t_{0.05,25}=1.7081](https://tex.z-dn.net/?f=t_%7B%5Calpha%2F2%2C%20df%7D%3Dt_%7B0.05%2C25%7D%3D1.7081)
90% confidence interval for mean:
![\overline{x}\pm t_{\alpha/2,df}\dfrac{s}{\sqrt{n}}\\\\=13.03\pm (1.7081)\dfrac{3.22}{\sqrt{26}}\\\\=13.03\pm (1.7081)\dfrac{3.22}{5.09902}\\\\=13.03\pm 1.08\\\\=(13.03-1.08,\ 13.03+1.08)\\\\ =(11.95,\ 14.11)](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%5Cpm%20t_%7B%5Calpha%2F2%2Cdf%7D%5Cdfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D13.03%5Cpm%20%281.7081%29%5Cdfrac%7B3.22%7D%7B%5Csqrt%7B26%7D%7D%5C%5C%5C%5C%3D13.03%5Cpm%20%20%281.7081%29%5Cdfrac%7B3.22%7D%7B5.09902%7D%5C%5C%5C%5C%3D13.03%5Cpm%201.08%5C%5C%5C%5C%3D%2813.03-1.08%2C%5C%2013.03%2B1.08%29%5C%5C%5C%5C%20%3D%2811.95%2C%5C%2014.11%29)
A 90% confidence interval for the mean number of years of education = (11.95, 14.11)
Answer:
The set of pepper plants in the fourth box are the control group
Explanation:
The aim of the experiment is to determine the plant fertilizer that will give the most pepper yield
The number of types of fertilizers used under the study = 3 brands
The number of boxes set up for the experiment = 4 boxes
The number of pepper plants planted in each box = 3 sets
The fertilizers applied to each box = One different type for each of the first three box
The type of fertilizer applied to the fourth box = No fertilizer
The control group is the group to which the effect of the other groups subject to the experimental treatment are compared, and the group not subject to the treatment of the experiment.
Therefore;
The set of pepper plants in the fourth box are the control group.