Answer:
effective annual rate is 6.16 %
Step-by-step explanation:
given data
rate = 6 % = 0.06
time 5 year = 10 semi annually
to find out
effective annual rate
solution
we know formula for annual effective rate of interest is
rate of interest = -1
put here all value
rate of interest = -1
rate of interest = -1
rate of interest = 0.061646
so effective annual rate is 6.16 %
(1) The train travels 4 miles per gallon.
(2) The slope of the graph is
Explanation:
(1) The miles that train travels per gallon is given by
Dividing, we have,
Thus, the train travels 4 miles per gallon.
(2) To determine the slope, let us consider two points from the graph.
The coordinates are and
Thus, substituting the coordinates in the slope formula, we get,
Simplifying, we have,
Thus, the slope of the graph is
Answer:
And we can calculate the p value with the following probability taking in count the alternative hypothesis:
And for this case using a significance level of we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
Step-by-step explanation:
For this case we want to test the following system of hypothesis:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
And for this case we know that the statistic is given by:
And we can calculate the p value with the following probability taking in count the alternative hypothesis:
And for this case using a significance level of we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02