Using confidence interval concepts, it is found that:
a) The point estimate is the sample mean.
b) The confidence interval is: 
c) If $1411 is between the bounds of the interval yes, otherwise no.
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- At item a, it asks to provide a point estimate for the population mean, which is the sample mean
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Item b:
- In the spreadsheet, it is possible to find the <em>standard deviation for the sample</em>, thus, the t-distribution is used.
- The confidence interval will be given by:
In which:
- is the sample mean.
- T is the critical value, from the t-distribution, with a two-tailed area of
and n-1 degrees of freedom. - s is the standard deviation for the sample.
- n is the sample size.
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Item c:
We have to check if 1411 is between 
and 
.
- If it is, the interval includes the National Average, otherwise, it does not.
A similar problem is given at brainly.com/question/24232455
9514 1404 393
Answer:
D: all real numbers
R: f(x) > 0
A: f(x) = 0
(-∞, 0), (+∞, +∞)
vertical stretch by a factor of 2; left shift 2 units
Step-by-step explanation:
The transformation ...
g(x) = a·f(b(x -c)) +d
does the following:
- vertical stretch by a factor of 'a'
- horizontal compression by a factor of 'b'
- translation right by 'c' units
- translation up by 'd' units
For many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.
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Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.
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As with all exponential functions, ...
- the domain is "all real numbers"
- the range is all numbers above the asymptote: f(x) > 0
- the horizontal asymptote is f(x) = 0
The function is a growth function, so ...
- x → -∞, f(x) → 0
- x → ∞, f(x) → ∞
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<em>Additional comment</em>
The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...
f(x) = 18(3^x)
with no left shift and a vertical stretch by a factor of 18 instead of 2.
Answer:
Costa Rica
Step-by-step explanation:
The answer should be. 5x=-12
