BNG 311 Statistics for Bioengineering Quiz # 6 Take-home Name: Due: Friday Octob

Question

BNG 311 Statistics for Bioengineering Quiz # 6 Take-home Name: Due: Friday October 30, 2015, Write answer in the space below and attach Excel Printout. Testing linear correlation: You are given heights of fathers and sons as below. Sum Use Excel, fill up the table Use Excel, draw scatter plot. Does the scatter plot suggest correlation between x and y? Find correlation coefficient r from the table. Find critical value from Table A-6 for n=7 and a =0.05. State conclusion about the correlation between heights of fathers and sons. Perform the formal hypothesis testing for claim that there is no correlation between heights of fathers and sons. HO: HI: Test statistic: Degree of freedom = Critical values and critical region

Explanation / Answer

1) the centre of mass acts at (1,0.5 )

so it will add torque at (0,0 ) given by 100 *9.8 * 1 N m= 98N-m

now to topple the torque should be more than the above value,

so, Fsin(40) * 1 = 98N-m

=> F= 152.46 N

b) now , horizontal force = F sin(40)

normal force = N=mg+ F cos(40) = 214.79

so, frictional force = mu* N

now for no , movement frictional force should be greater or equal to horizontal force,

so , mu* N > F sin(40)

=> mu*214.79   > 97.99

=> mu > 0.456

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