A Paired t-Test reduces to the case of hypothesis test on a mean, variances unknown. A. True B. False

A. True

Step-by-step explanation:

A paired T- test is also sometimes called the dependent sample t-test. It may be defined as a statistical procedure that is mainly used to determine if the mean variance between the two samples or units of the observations are zero or not.

It helps to compare the two means which are taken from the same objects, related units or from same in individual.

According to the question, the answer is true as the paired T-test can be reduced to the single mean T- test.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

answer: .75 km

step-by-step explanation: