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).
Given parameters:
First sets of staircase = 
Next sets = 
Third sets = 
Unknown:
The least possible number of steps =?
Solution:
The least possible number of steps will be the lowest common multiples of these sets of steps.
We want fractions that will give whole numbers because realistically, one cannot take half a step of a step.
So, the number of steps must be a multiple of denominators of the fractions given.
Denominators are 2 , 3 and 8
Their least common multiple is 24;
This the lowest number by which 2, 3 and 8 can all divide.
So, the least number is 24 steps
68 people she saw that were near-sighted
Answer:
y = 5
steps:
1). Move all terms not containing y to the right side of the inequality.
5y>25
2). Divide each term by 5 and simplify.
y>5
3+4 = 7. 19/7 = 2.71
5+6 = 11. 41/11 = 3.73
1+3 = 4. ?/4 = 4.75 <--- Following the pattern of +1.02 (2.71+1.02=3.73, therefore 3.73+1.02=4.75
We still need (?) ... ?/4=4.75 we can re-write this as 4(4.75)=?
4(4.75) = 19 (4x4=16, 4x0.75=3, 16+3=19)
Therefore, 1+3=19.
