Question

the amount of liquid in cans of a cola beverage has mean value =16 ounces and standard deviation =0.143 ounces. (a) what is the probability that a randomly selected can of cola beverage contains at least 15.9 ounces? (b) what is the probability that the mean amount x of beverage in random sample of 34 such cans is at least 16.1 ounces

Answer 1

Solution :

Given that ,

mean = = 16

standard deviation = = 0.143

(a)

P(x 15.9) = 1 - P(x   15.9)

= 1 - P[(x - ) / (15.9 - 16) / 0.143]

= 1 -  P(z -0.70)  

= 0.7580

(b)

n = 34

= / n = 0.143 / 34

P( > 16.1) = 1 - P( < 16.1)

= 1 - P[( - ) / < (16.1 - 16) / 0.143 / 34]

= 1 - P(z < 4.08)

= 0