A drug made by a pharmaceutical company comes in tablet form. Each tablet is bra

Question

A drug made by a pharmaceutical company comes in tablet form. Each tablet is branded as containing 105 mg of the particular active chemical. However, variation in manufacturing results in the actual amount of the active chemical in each tablet following a normal distribution with mean 105 mg and standard deviation 1.610 mg. Calculate the percentage of tablets that will contain less than 104 mg of the active chemical. Give your answer as a percentage to 2 decimal places. Percentage = % Suppose samples of 13 randomly selected tablets are taken and the amount of active chemical measured. Calculate the percentage of samples that will have a sample mean of less than 104 mg of the active chemical. Give your answer as a percentage to 2 decimal places. Percentage = %

Explanation / Answer

SOL:

P(X<104)

convert to z

z=x-mean/stddev

=104-105/1.610

=-1/1.610

=-0.621

need to find

P(Z<-0.621)

P ( Z<0.621 )=1P ( Z<0.621 )

from nomal table z<0.621=0.7324

=10.7324=0.2676

% of tablets less than 104 mg=0.2676*100=27%

SolUTIONB

P(X<104)

convert to z

z=x-mean/stddev/SQRT(SAMPLE SIZE)

=104-105/1.610/SQRT(13)

Z =-2.239

P ( Z<2.239 )=1P ( Z<2.239 )

FROM NORMAL TABLE

=10.9875

=0.0125

percentage of sample =0.0125*100=1.25%

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.