Use technology to find the P-value for the hypothesis test described below. The claim is that for a smartphone carrier's data speeds at airports, the mean is μ = 10.00Mbps. The sample size is n = 32 and the test statistic is z = - 2.816.
What is the p-value?
(Round to three decimal places as needed.)

P-value = 0.002

Step-by-step explanation:

The claim is that for a smartphone carrier's data speeds at airports, the mean is μ = 10.00 Mbps. This is the null hypothesis that is tested.

Then, the alternative hypothesis will represent the claim that the mean data speed is less than 10.00 Mbps.

We can write this as:

We have a sample size n=32. As the test statistic is z, and not t, we don't need to calculate the degrees of freedom.

The test statistic is z=-2.816. This test is a left-tailed test, so the P-value for this test is calculated as:

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).

22

step-by-step explanation: