Answer:
0.59
Step-by-step explanation:
The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find
1 answer:
You might be interested in
The maximum volume of the box is 40√(10/27) cu in.
Here we see that volume is to be maximized
The surface area of the box is 40 sq in
Since the top lid is open, the surface area will be
lb + 2lh + 2bh = 40
Now, the length is equal to the breadth.
Let them be x in
Hence,
x² + 2xh + 2xh = 40
or, 4xh = 40 - x²
or, h = 10/x - x/4
Let f(x) = volume of the box
= lbh
Hence,
f(x) = x²(10/x - x/4)
= 10x - x³/4
differentiating with respect to x and equating it to 0 gives us
f'(x) = 10 - 3x²/4 = 0
or, 3x²/4 = 10
or, x² = 40/3
Hence x will be equal to 2√(10/3)
Now to check whether this value of x will give us the max volume, we will find
f"(2√(10/3))
f"(x) = -3x/2
hence,
f"(2√(10/3)) = -3√(10/3)
Since the above value is negative, volume is maximum for x = 2√(10/3)
Hence volume
= 10 X 2√(10/3) - [2√(10/3)]³/4
= 2√(10/3) [10 - 10/3]
= 2√(10/3) X 20/3
= 40√(10/27) cu in
To learn more about Maximization visit
#SPJ4
Complete Question
(Image Attached)
Answer:
a) The proportions are not form matched-pairs data.
b) The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that there is evidence of a significant increase in the proportion of people who suffer heart attacks when using Avandia compared to other treatments.
Step-by-step explanation:
a) Two data sets are "paired" when the following one-to-one relationship exists between values in the two data sets:
- Each data set has the same number of data points.
- Each data point in one data set is related to one, and only one, data point in the other data set.
None of this conditions apply in this case, so the proportions are not form matched-pairs data.
b) This is a hypothesis test for the difference between proportions.
The claim is that there is evidence to suggest that there is a significant increase in the proportion of people who suffer heart attacks when using Avandia compared to other treatments.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The sample 1 (Avindia treatment), of size n1=1456 has a proportion of p1=0.0185.
The sample 2 (other treatment), of size n2=2895 has a proportion of p2=0.0142.
The difference between proportions is (p1-p2)=0.0044.
The pooled proportion, needed to calculate the standard error, is:
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the z-statistic as:
This test is a right-tailed test, so the P-value for this test is calculated as (using a z-table):
As the P-value (0.1358) is bigger than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that there is evidence to suggest that there is a significant increase in the proportion of people who suffer heart attacks when using Avandia compared to other treatments.