Answer:
d) The difference exists due to chance since the test statistic is small
Step-by-step explanation:
From the given information:
Population mean = 178 cm
the sample mean = 177.5 cm
the standard deviation = 2
the sample size = 25
The null hypothesis and the alternative hypothesis can be computed as:
Null hypothesis:

Alternative hypothesis:

The t-test statistics is determined by using the formula:




Degree of freedom df = n- 1
Degree of freedom df = 25 - 1
Degree of freedom df = 24
At the level of significance ∝ = 0.05, the critical value = 2.064
Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance
Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small
Answer:
The equal amount is 525
.
Step-by-step explanation:
Given that,
Eric and his two sister shared amount of money in ratio2:7 respectively.
Amount with Eric = 300
It means,
2x = 300
x = 150
So,
7x = 7(150)
= 1050
As the remaining amount shared equally among the sister. So, the equal amount is 525
.
Answer:
The answer to your question is Area = 6 u²
Step-by-step explanation:
Process
To find the area of the picture divide the figure between a square and a right triangle, determine the area of each figure and finally add them up.
1.- Calculate the area of the square
Area = side x side
= 2 x 2
= 4 u²
2.- Calculate the area of the triangle
Area = base x height / 2
base = 2 height = 2
Area = 2 x 2 /2
Area = 2 u₂
3.- Total area
Area = 4 + 2
= 6 u²
Answer:
If you construct the perpendicular bisector of a line segment, every point on the perpendicular bisector will be the same distance from both point A and point B.
To construct an isosceles triangle, you can start from any point on the perpendicular bisector and draw line segments to point A and to point B