Answer:
No. The data in this study were not based on a random method. This is a key requirement for an inference to be made from the two-sample t-test.
Step-by-step explanation:
1. Hayden can use the two-sample t-test (also known as the independent samples t-test)to find out if there was a difference in the time spent in the checkout time between two grocery stores and to conclude whether the difference in the average checkout time between the two stores is really significant or if the difference is due to a random chance. There are three conditions to be met when using the two-sample t-test.
2. The first condition is that the sampling method must be random. This requirement was not met in this study. Each customer from each store should have an equal chance of being selected for the study. This was not achieved.
3. The distributions of the sample data are approximately normal. This is achieved with a large sample size of 30 customers selected for each study.
4. The last but not the least condition is the independence of the sample data. Sample data here is independent for both samples.
Answer:
A
Step-by-step explanation:
It's hard to see but when x is 6, y is 4.5. Just plug that into each equation and see which one is correct.
Answer:
13
Step-by-step explanation:
(3 times 2)+7=x
6+7=x
x=13
Answer:
Step-by-step explanation:
No. Each side must be less than the sum of the remaining two sides.
10 ≮ 5+1
The area of the shaded region is 
.
Solution:
Given radius = 4 cm
Diameter = 2 × 4 = 8 cm
Let us first find the area of the semi-circle.
Area of the semi-circle = 
Area of the semi-circle = 
cm²
Angle in a semi-circle is always 90º.
∠C = 90°
So, ABC is a right angled triangle.
Using Pythagoras theorem, we can find base of the triangle.
cm
Base of the triangle ABC = 
cm
Height of the triangle = 4 cm
Area of the triangle ABC = 
Area of the triangle ABC = 
cm²
Area of the shaded region
= Area of the semi-circle – Area of the triangle ABC
= 
=
Hence the area of the shaded region is .
