Answer:
e. The probability of observing a sample mean of 5.11 or less, or of 5.29 or more, is 0.018 if the true mean is 5.2.
Step-by-step explanation:
We have a two-tailed one sample t-test.
The null hypothesis claims that the pH is not significantly different from 5.2.
The alternative hypothesis is that the mean pH is significantly different from 5.2.
The sample mean pH is 5.11, with a sample size of n=50.
The P-value of the test is 0.018.
This P-value corresponds to the probability of observing a sample mean of 5.11 or less, given that the population is defined by the null hypothesis (mean=5.2).
As this test is two-tailed, it also includes the probability of the other tail. That is the probability of observing a sample with mean 5.29 or more (0.09 or more from the population mean).
Then, we can say that, if the true mean is 5.2, there is a probability P=0.018 of observing a sample of size n=50 with a sample mean with a difference bigger than 0.09 from the population mean of the null hypothesis (5.11 or less or 5.29 or more).
The right answer is e.
Answer:
Step-by-step explanation:
using the formula below, the central angle is 20° (bc 360-180-160=20)
radius is 14 (28/2=14)
7 1/2÷ 1 9/10 = 15/2 ÷19/10 = 15/2x10/19 = 159/38 = 4 7/38
4 7/38 (Answer)
_____
38 )159
152
__________
Answer:
it is not because a polynomial cannot have a negative power
Answer:
6) C 1
7) A 3 (im not sure for this one because it's blurry)
8) C 1
Step-by-step explanation:
6) Replace the f(x) for -1 since we are told f(x) = -1. We then need to use the inverse operation to get x by itself.
Since the opposite of division (which is indicated by the fraction line) is multiplication, we need to multiply the number on the left (-1) times 2.
For this step, the opposite of subtraction is addition so in this step, we must add 3 to -2.
7) Can't explain cause I'm not sure if I'm right
8) To find out the slope of two coordinates we must use the following to determine it.
<h3>
(IN THE PICTURE ATTACHED)</h3>
In this case, the y with the little two will be 4 and the y with the little one is 1. 4-1 is 3 and that's the y cooridnate sorted
For the x coordinate, the x with the little two is 1 and the x with the little one is -2. Thus, we must solve 1-(-2) which also equals 3.
<h3>Since the final coordinates are 3/3 and it simplifies, the final answer is 1.</h3>