Answer:
The correct option is (c).
Step-by-step explanation:
The assumptions of a two-sample <em>t</em>-test are:
- Independent samples
- Normality
- Equal variances
It is provided that the sample of selected for American adults under the age of 40 is of size, <em>n</em>₁ = 488 and the sample of selected for American adults aged 40 or over is of size, <em>n</em>₂ = 421.
As the sample size is quite large the according to the Central limit theorem the sampling distribution of the sample mean would follow a Normal distribution.
And even if the sample was selected by dialing of various telephone numbers, the sample is not biased since the size of the sample is too large.
So, the sample can be considered as a simple random sample.
Thus, the conditions for two-sample t inference are satisfied.
The correct option is (c).
The Rule of 72 is a shortcut method to find the number of years to double your investment. This is only an estimation. This can be done by dividing 72 by the annual interest rate.
However, you are given a nominal rate since it is compounded annually. Let's convert this by this equation:
annual rate = (1+i/m)^m - 1, where m is the number of periods in a year. Thus, m=2
annual rate = (1 + 0.065/2)^2 -1 = 6.61%
Applying Rule of 72,
72 ÷ 6.61% = 10.89
This is where I found a problem. The answer here just directly divided 72 by 6.5% which will equal to 11.1 years. This is not accurate, since the given interest is compounded semi-annually. That is not an annual interest rate.
Nevertheless, the answer is still close to letter A.) 11.1 years.
Answer:
The ratio of juice boxes remaining to juice boxes drunk = 20 / 60 = 1/3
Step-by-step explanation:
Culebra Cut = 1 'time'
rest of the canal = 9 'times'
Total length of the canal = 10 'times'
10 'times' = 50 miles
each 'time' = 5 miles.
Culebra Cut = 1 'time' = 5 miles
rest of the canal = 9 'times' = 45 miles
Where the picture or numbers at?
