Answer:
a) 0.3571
b) The p-value is 0.362007.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 1.35
Sample mean, = 1.4
Sample size, n = 26
Alpha, α = 0.01
Sample standard deviation, s = 0.7
First, we design the null and the alternate hypothesis
We use One-tailed t test to perform this hypothesis.
a) Formula:
Putting all the values, we have
b) The p-value at t-statistic 0.3571 and degree of freedom 25 is 0.362007.
Answer:
Therefore the variance on the data set is 8.3
Step-by-step explanation:
In order to find the variance of the set of data we first need to calculate the mean of the set, which is given by:
mean = sum of each element / number of elements
mean = (5 + 8 + 2 + 9 + 4)/5 = 5.6
We can now find the variance by applying the following formula:
So applying the data from the problem we have:
s² = [(5 - 5.6)² + (8 - 5.6)² + (2 - 5.6)² + (9 - 5.6)² + (4 - 5.6)²]/(5 - 1)
s² = [(-0.6)² + (2.4)² + (-3.6)² + (3.4)² + (-1.6)²]/4
s² = [0.36 + 5.76 + 12.96 + 11.56 + 2.56]/4 = 8.3
Therefore the variance on the data set is 8.3
<u>Given:</u>
The angle of elevation from the point on the ground to the top of the tree is 34° and the point is 25 feet from the base of the tree.
We need to determine the height of the tree.
<u>Height of the tree:</u>
Let the height of the tree be h.
The height of the tree can be determined using the trigonometric ratio.
Thus, we have;
Substituting the values, we get;
Multiplying both sides by 25, we have;
Rounding off to the nearest tenth of a foot, we get;
Thus, the height of the tree is 16.9 feet.
Hence, Option B is the correct answer.