Using the regression formula with a slope = 2,000 and an intercept = 15,000, what would the predicted income be for someone who
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Answer:
Step-by-step explanation:
The summary of the given statistics data include:
sample size n = 400
sample mean = 6.86
standard deviation = 4.37
Level of significance ∝ = 0.01
Population Mean = 6.00
Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
To start with the hypothesis;
The null and the alternative hypothesis can be computed as :
The test statistics for this two tailed test can be computed as:
z = 3.936
degree of freedom = n - 1
degree of freedom = 400 - 1
degree of freedom = 399
At the level of significance ∝ = 0.01
P -value = 2 × (z < 3.936) since it is a two tailed test
P -value = 2 × ( 1 - P(z ≤ 3.936)
P -value = 2 × ( 1 -0.9999)
P -value = 2 × ( 0.0001)
P -value = 0.0002
Since the P-value is less than level of significance , we reject at level of significance 0.01
Conclusion: There is sufficient evidence to conclude that the original claim that the mean of the population of earthquake depths is 5.00 km.
x intercept is -5
Explanation
Step 1
find the slope of the line:
when you know 2 points of the line, you can find the slope, by using:
then,Let
P1(33,-22)
P2(52,-33)
replace,
Step 2
find the equation of the line
let
replace,
now, we have the equation of the line, to get the x intercetp ( it is when y=0)
replace
so, the x intercetp is -5.
I hope this helps you
