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1 answer:
The point t is (22/4 , 7/4) which lie on the given line.
<h3>What is Section Formula?</h3>Section formula is used to find the ratio in which a line segment is divided by a point internally or externally.
Here, Let (x, y) be the coordinates of point t.
given values
x₁ = 1, x₂ = 7, y₁ = 4, y₂ = 1, m = 3 and n = 1
Point t lie on given line and divide the line in ratio 3:1.
Section Formula:
(x, y) =
(x, y) =
(x, y) =
Thus, the point t is (22/4 , 7/4) which lie on the given line.
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Answer:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.
Step-by-step explanation:
Data given
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean exceed 29.9 or no, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
The degrees of freedom are given by:
Since is a one sided test the p value would be:
Conclusion
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.