Imagine that a researcher appropriately collects data from 100 people from a particular population for variable x. he obtains a mean of 19.2 from these 100 people. he also knows that the population mean for variable x is 21.05 (μ = 21.05) with a population standard deviation of 10 (σ = 10). if the researcher uses a two-tailed hypothesis test with an alpha level (or p-level) of 0.05 (5%), what decision should the researcher make when following the rules of hypothesis testing? (when answering, assume that any relevant assumptions are met for this hypothesis test).

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

just sum

10 + 10 = 20