Answer:
H0: The new cancer drug increases the mean survival time by 30 days
Ha: The new cancer drug increases the mean survival time by 30 or more than 30 days.
If fail to reject H0 (the null hypothesis), the conclusion is that the new cancer drug increases the mean survival time by 30 days.
Step-by-step explanation:
The null hypothesis is a statement from a population parameter which is either rejected or accepted (fail to reject) upon testing. It is expressed using the equality sign.
The alternate hypothesis is also a statement from a population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected. It is expressed using any of the inequality signs.
The test is a two-tailed test because the alternate hypothesis is expressed using more than or equal to.
If I fail to reject H0, it means the test statistic falls within the region bounded by the critical values.
It would therefore be concluded that the new cancer drug increases the mean survival time by 30 days.
Answer:
$15.25
Step-by-step explanation:
$7.50+$4.85+$12.25 +$9.00 +$8.15 = $41.75
$28.50*2 = $57.00
So, he needs $57.00- $41.75 = $15.25 more
X²+5x+5 has zeroes given by x=(-5±√25-20)/2=(-5±√5)/2=-1.3820 and -3.6180.
In simplest radical form the zeroes are -5/2+√5/2 and -5/2-√5/2.
The answers are as follows:
1. Triangles are often used to build different types of support structures because of its beneficial properties. Triangles is rigid in shape and it has strength. When force is applied to the side of a triangle, it can not shift into another shape, this is because its sides and angles are fixed.
2. The properties of triangle that make it a desirable geometric shape for building support structures is its fixed sides, fixed angles, rigidity and strength. Triangles are the strongest shapes and they are stable. Thus, triangle can be easily fix together to provide strength and stability over a wide area.
3. There are different types of triangles, these include: equilateral triangle, scalene, isosceles, right triangle, obtuse and acute. Of all these triangles, the best triangle is equilateral triangle.
4. Triangle is preferred over other types of polygon because, it is the strongest. The other polygons can be bent into different other forms that are not regular polygon, but a triangle always retains its shape and can not be deformed.