"A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. The null hypothesis is ."

the null hypothesis is that the average is 7.55 in the sample presented

Step-by-step explanation:

We are told that there is a hypothesis that the average in a hospital is 6.6 pounds.

A random sampling of 7 babies is made: 9.0, 7.3, 6.0, 8.8, 6.8, 8.4 and 6.6 pounds.

Let's calculate the mean:

m = (9.0 + 7.3 + 6.0 + 8.8 + 6.8 + 8.4 + 6.6) / 7

m = 7.55 pounds.

This means that the sample taken from this hospital contradicts the hypothesis proposed at the beginning, since it is a value that exceeds the aforementioned average.

The hypothesis would be valid if it had been mentioned that the mean is 6.6 + - 1.

That is, the maximum value would be 7.6 pounds, therefore it would be valid there.

But this is not the case, therefore the null hypothesis is that the average is 7.55 in the sample presented

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8