Answer:
It is 4
Step-by-step explanation:
<u>Supposing 60 out of 100 scores are passing scores</u>, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
- The lower limit is 0.5.
- The upper limit is 0.7.
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of
.
60 out of 100 scores are passing scores, hence 
95% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
- The lower limit is 0.5.
- The upper limit is 0.7.
A similar problem is given at brainly.com/question/16807970
Answer:
The null hypo would be the difference is greater than 0
so the alternate hypothesis would be less than or equal to 0
H1: µd ≤ 0
Let b = blue marbles
y = yellow marbles
Sum = b+y
The <span>chance of a blue marble being drawn first is:
b / (b+y) = 0.55
</span>The <span>chance of a blue marble being drawn first then a yellow next is:
</span>b / (b+y) * <span>y / (b+y-1) = 0.37</span>
This can be solve easily by using a theorem of Bayes
0.37/0.55 = .67 or 67%
If the ratio of green to blue food coloring is 1:2 and 6 drops of blue was used, meaning that you basically multiplied 2 by 3 in order to get 6. Then the number of green drops would be 3 (1*3=3). 6+3=9
The total amount of drops of food coloring is then 9.
Hope this helps! (: