What is the 95% confidence interval of E(Y) at X = 4?
1 answer:
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Step-by-step explanation:
The domain and range of a function and its inverse are inverted i.e. The domain of the function will become range of its inverse and the range of the function will become the domain of its inverse.
When representing the function in ordered pairs, the first values in the pair represents the domain and second values represent the range of the function.
h(x) = {3,5),(5,-7)(6,-9)(10,-12)(12,16)}
Domain of h(x) is: {3, 5, 6, 10, 12}
Range of h(x) is: (5, -7, -9, -12, 16}
So,
Domain of = Range of h(x) = (5, -7, -9, -12, 16}
Range of = Domain of h(x) = {3, 5, 6, 10, 12}
Therefore, will be represented as:
{(5,3), (-7,5), (-9, 6), (-12, 10), (16,12)}
It seems like you have made some error while writing the original function because of which we are not getting an exact match in the answer. However by looking at the answers, option B is the nearest most and seems the correct answer.
Answer:
The 98% confidence interval for the population mean number of hours worked per year per person is (2146, 2193).
Step-by-step explanation:
The question is incomplete.
The number of hours registered in the sample are:
2051 2061 2162 2167 2169 2171
2180 2183 2186 2195 2196 2198
2205 2210 2211
The sample mean can be calculated as:
We have to calculate a 98% confidence interval for the mean.
The population standard deviation is know and is σ=39.
The sample mean is M=2169.67.
The sample size is N=15.
As σ is known, the standard error of the mean (σM) is calculated as:
The z-value for a 98% confidence interval is z=2.326.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 98% confidence interval for the population mean is (2146, 2193).