The exercise is related to the Ratio Test for Convergence. The rules for this kind of test are given below.
<h3>What are the rules for Ratio Test for Convergence?</h3>
The rules are:
- If the limit is less than 1 when conducting the ratio test, your series is definitely convergent.
- The test is inconclusive if the limit is equal to 1.
- The series is divergent if the limit is greater than 1.
Using this knowledge, we are able to state that
- A is not conclusive.
- C's convergence is absolute.
- There is divergence with D and E.
- B and F appear to be employing the nth-term test. The nth-term involves determining the sequence's limit as it approaches infinity.
The nth-term test determines whether a series is divergent if the limit is bigger than 0, thus, both B and F are divergent series.
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The standard error of the difference of sample means is 0.444
From the complete question, we have the following parameters
<u>Canadians</u>
- Sample size = 50
- Mean = 4.6
- Standard deviation = 2.9
<u>Americans</u>
- Sample size = 60
- Mean = 5.2
- Standard deviation = 1.3
The standard error of a sample is the quotient of the standard deviation and the square root of the sample size.
This is represented as:

The standard error of the Canadian sample is:

So, we have:

The standard error of the American sample is:

So, we have:

The standard error of the difference of sample means is then calculated as:

This gives


Take square roots

Hence, the standard error of the difference of sample means is 0.444
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A ratio which estimates the risk associated with investing in a business firm is called: solvency ratio.
Solvency ratio can be defined as a key metric that is typically used to measure the ability of a business firm to meet its long-term debt obligations.
Basically, a solvency ratio measures the financial position of a business firm and the extent to which its assets cover long-term debt obligations (commitments), especially for future payments and the liabilities.
In conclusion, a ratio which estimates the risk associated with investing in a business firm is called solvency ratio.
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