Answer:
(a) P-value = 0.074, α = 0.05 do not reject H0
(b) P-value = 0.006, α = 0.001 do not reject H0
(c) P-value = 0.494, α = 0.05 do not reject H0
(d) P-value = 0.074, α = 0.10 reject H0
(e) P-value = 0.028, α = 0.01 do not reject H0
(f) P-value = 0.296, α = 0.10 do not reject H0
Step-by-step explanation:
The p-value is used to determine the statistical significance of the results of a statistical test. The p-value is the probability that the null hypothesis is correct. Smaller the p-value, higher is the probability that the alternate hypothesis is correct. On the other hand, the significance level (α) is the probability of rejecting the null hypothesis when it is true. It is the risk that you are willing to take in saying that there are differences between groups when there are not.
In order to reject the null hypothesis, the p-value should be lower than the significance level (α).
Let's call
the number of hours it takes for A to fill the pool and
the number of hours it takes for B to fill the pool.
We have
and
hence
hence
and thus
.
Using slope-intercept form
y=mx+b
y being the y value of a co-ordinate
x being the x value of a c-ordinate
m being the slope
b being the y intercept
You've been given slope of 1
and point (0,2) is the yintercept
Hence
y= x +2
Or USE ALGEBRA
IT"S SUPER FUN!!!!
x=0
y=2
m=1
b=?
y=mx+b
2=1(0)+b
b=2
Hence
y=x+4
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