The weight of corn chips dispensed into a bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 14.5 ounces and a standard deviation of 0.2 ounces. Suppose 100 bags of chips are randomly selected. Calculate the z-score if the mean weight of the 100 bags is 14.6 ounces.

A. .6915
B. .1915
C. .3085
D. approximately 0

D. The z- score of the bags is equal  to a value of 0.

Step-by-step explanation:

The probability that a normally distributed data with statndard deviation σ and a mean, μ,exceeds a value x, is given by

P(X > x)=1-p(X < x)= 1- P(z<

Now,

Given:

weight of corn chips dispensed into a 14-ounce bag by the dispensing machine is a normal distribution with

mean = 14.5 ounces

standard deviation =0.2 ounce.

So,

If 100 bags of chips are randomly selected the probability that the mean weight of these 100 bags exceeds 14.6 ounces is given by:

⇒ P(X> 14.6)= 1- P(z<

⇒ 1- P(z< 5)=

⇒  1 - 1 = 0.

Therefore,

The z score of the bags is equal to a value of zero.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: