1. Answer the following by SHO

A) Suppose there was a class of 200 students with a mean classaverage of 63%. I then select from this class all students on thehonor roll, which amounts to 53 students. Would you expect theiraverage to be the same? Why or why not?

B) According to the label on a drink bottle, the bottle shouldcontain 500 mL of product. Currently, the filling machine is set toa mean volume of 502 mL and a standard deviation of 1.5 mL. If toomany cans are under-filled, they risk losing customers, but if thecan surpasses 505 mL of fill, there will be spillover when thebottle is capped, wasting product. Does the company need torecalibrate the machine?

a)

YES, we expect their average to be same 63%

……………

µ =    502                            σ =    1.5                            we need to calculate probability for ,                               P (   500   < X <  505   )                 =P( (500-502)/1.5 < (X-µ)/σ < (505-502)/1.5 )                                                               P (    -1.333   < Z <   2.000   )                  = P ( Z <    2.000   ) – P ( Z<   -1.333   ) =   0.9772   –    0.0912   =   0.8860 (88.60%)

need to recalibrate as proportion of cans outside > 10%

………………..

THANKS

revert back for doubt

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