The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a standard deviation of 5 grams. We calculated the value of z for a specific box of this brand of cereal and the z value was negative. This negative z value indicates that

A. We made a mistake in our calculations, as z must always be a nonnegative number.
B. The fill weight exceeds 910 grams.
C. The fill weight is less than 910 grams.
D. The fill weight is equal to 910 grams

C. The fill weight is less than 910 grams.

Step-by-step explanation:

To normalize a given stadistical we do:

To be negative then, X should be lower than the mean.

Therefore, is the nevatige value of Z represent the value is below the mean therefore, below 910 gram

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: