Using the equation of the test statistic, it is found that with an increased sample size, the test statistic would decrease and the p-value would increase.
<h3>How to find the p-value of a test?</h3>
It depends on the test statistic z, as follows.
- For a left-tailed test, it is the area under the normal curve to the left of z, which is the <u>p-value of z</u>.
- For a right-tailed test, it is the area under the normal curve to the right of z, which is <u>1 subtracted by the p-value of z</u>.
- For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is <u>2 multiplied by 1 subtracted by the p-value of z</u>.
In all cases, a higher test statistic leads to a lower p-value, and vice-versa.
<h3>What is the equation for the test statistic?</h3>
The equation is given by:
The parameters are:
is the sample mean.
is the tested value.
- s is the standard deviation.
From this, it is taken that if the sample size was increased with all other parameters remaining the same, the test statistic would decrease, and the p-value would increase.
You can learn more about p-values at brainly.com/question/26454209
Answer:
Problem 9: -1/2
Problem 10: 1/5
Step-by-step explanation:
Problem 10: Label the given ln e^(1/5) as y = ln e^(1/5).
Write the identity e = e. Raise the first e to the power y and the second e to the power 1/5 (note that ln e^(1/5) = 1/5). Thus, we have:
e^y = e^(1/5), so that y = 1/5 (answer).
Problem 9: Let y = (log to the base 4 of) ∛1 / ∛8, or
y = (log to the base 4 of) ∛1 / ∛8, or
y = (log to the base 4 of) 1 /2
Write out the obvious:
4 = 4
Raise the first 4 to the power y and raise the second 4 to the power (log to the base 4 of) 1 /2. This results in:
4^y = 1/2. Solve this for y.
Note that 4^(1/2) = 2, so that 4^(-1/2) = 1/2
Thus, y = -1/2
Answer:
x = 3
Step-by-step explanation:
6x - 4 = 2x + 8
6x - 2x = 8 + 4
4x = 12
x = 12/4
x = 3
Answer:
<em>(</em><em>2</em><em>x</em><em> </em><em>+</em><em> </em><em>1</em><em>)</em><em> </em><em> </em><em>(</em><em>3</em><em>x</em><em> </em><em>-</em><em> </em><em>4</em><em>)</em>
Step-by-step explanation:
Solution:
- 6x² - 5x - 4
- 6x²- (8 - 3)x - 4
- 6x²- 8x + 3x - 4
- 2x (3x - 4) +1 (3x - 4)
- (2x + 1) (3x - 4)
Menjawab:
[(√1-p²) -3√p] / 2
Penjelasan langkah demi langkah:
Dari identitas trigonometri, pemuaiannya benar:
Cos (A + B) = cosAcosB-sinAsinB
Menerapkan ini dalam memperluas cos (x + 60).
cos (x + 60) = cosxcos60 - sinxsin60
Jika sinx = p = berlawanan / sisi miring
opp = p, hyp = 1
adj² = 1²-p²
adj = √1-p²
Cos (x) = adj / hyp = √1-p² / 1
Cos (x) = √1-p²
Cos60 = 1/2 dan sin60 = √3 / 2
Mengganti nilai-nilai ini ke dalam rumus
cos (x + 60) = cosxcos60 - sinxsin60
cos (x + 60) = √1-p² (1/2) - p (√3 / 2)
cos (x + 60) = (√1-p²) / 2 - √3p / 2
Temukan KPK tersebut
cos (x + 60) = [(√1-p²) -3√p] / 2
Oleh karena itu cos (x + 60) = [(√1-p²) -3√p] / 2
