HELPPPP!!! IB MYP Statistics and Distribution

[adnanr198]

Hi

may someone please help me

the problem is:

A cutting machine produces surgical stainless steel rods for implant which must not be more than 10 cm in lenghth. The mean length of a large batch of rods taken from the machine is found to be 9.98 cm and the standard deviation of these lengths is 0.015cm

the position of the cut can be adjusted w/o altering the standard deviation of the lengths. calculate in cm, to 3 decimal places, how small the mean lengths should be if no more than 2% of the rods are rejected for being longer than 10 cm.

thank you


**i take no credit for this problem

 

[Deleted member 4993]

Hi

may someone please help me

the problem is:

A cutting machine produces surgical stainless steel rods for implant which must not be more than 10 cm in lenghth. The mean length of a large batch of rods taken from the machine is found to be 9.98 cm and the standard deviation of these lengths is 0.015cm

the position of the cut can be adjusted w/o altering the standard deviation of the lengths. calculate in cm, to 3 decimal places, how small the mean lengths should be if no more than 2% of the rods are rejected for being longer than 10 cm.

thank you


**i take no credit for this problem

Hint:

Calculate the z-score 0.02 - find the mean required for that.

 

[adnanr198]

i will try that but can you tell me why i would do that
i just wan to tknow so that i can make sure i understand it for future questions
and thank you for the response

 

[adnanr198]

i tried doing that but i still dont get it
may you please explain further