The average human gestation time is 266 days from conception. A researcher suspects that proper nutrition plays an important role and that low-income women with inadequate food intake would have shorter gestation times even when given vitamin supplements. A random sample of 20 low-income women who were given vitamin supplement throughout their pregnancy had a gestation time from conception of x - 256 days The researcher's alternative hypothesis for the test is:.
a. Ha : μ =/ 256.
b. Ha: μ = 266.
c. Ha : μ < 266.
d. Ha : μ < 256.

c. Ha : μ < 266.

Step-by-step explanation:

Null hypothesis: The mean value is x.

Alternate hypothesis. The mean value is different than x, greater than x, smaller than x...

In this question:

Average of 266 days, so the null hypothesis is that the mean is 266.

In the sample:

He suspects that the generation time is less than 266. So

c. Ha : μ < 266.

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)