Destiny performs a hypothesis test on a population with µ = 115 and σ = 30. her sample size is 25 with a mean of 120.4. which of the following correctly depicts the z-statistic for this data? a)0.04 b)0.90 c)3.52 d)3.93

z statistic or z score can be calculated using the following formula:

z = (x – u) / (σ / sqrt n)

So simply substitute the given values:

z = (120.4 – 115) / (30 / sqrt 25)

z = 0.90

b. 0.90

The answer choice which correctly depicts the z-statistic for this data is:

This refers to the statistical approach where there is the test of an assumption regarding a population parameter.

The formular for z-statistic is

Therefore, we input the values and we get

z = (120.4 – 115) / (30 / sqrt 25)

We calculate further and we get

z = 0.90

Therefore, the correct answer is option B

REad more about hypothesis test here:
link

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c