e hypothesis are as follows:H0:m0:5vs. H1:m>0:5. Suppose that the null hypothesis is not rejected and that thereal truth is that the shampoo actually does make hair grow faster. What type of error, if any, occurred

The null hypothesis is not rejected  and hence Type II error occurred

Step-by-step explanation:

Here

The null hypothesis is as follows

H0 = Mean = 0.5

The alternate hypothesis is as follows -

H1 = Mean >0.5

For Type I error = The Null hypothesis is rejected if null hypothesis is actually true

Type II error =The Null hypothesis is not rejected when the null hypothesis is not true but is false.  

Here, the null hypothesis is not rejected  and hence Type II error occurred

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).

true !

step-by-step explanation: