Answer:
The degrees of freedom are given by:
The p value for this case would be given by:
If we use a significance level lower than 9% we have enough evidence to FAIL to reject the null hypothesis that the true mean is greater or equal than 3 but if we use a significance level higher than 9% the conclusion is oppossite we reject the null hypothesis
Step-by-step explanation:
Information given
represent the sample mean
represent the standard deviation
sample size
represent the value to verify
represent the significance level
t would represent the statistic (variable of interest)
represent the p value
Hypothesis to verify
We want to check if the true mean for this case is less than 3 minutes, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
Replacing we got:
The degrees of freedom are given by:
The p value for this case would be given by:
If we use a significance level lower than 9% we have enough evidence to FAIL to reject the null hypothesis that the true mean is greater or equal than 3 but if we use a significance level higher than 9% the conclusion is oppossite we reject the null hypothesis
The missing fraction is 4/6 because if you place them on a line it would be:
1/6 2/6 3/6 4/6 5/6 1
Answer:
OUR ANSWER IS $61,334.36
Step-by-step explanation:
The real rate of return = 6.19% - 2.5% = 3.69%
We assume the annual withdrawal is P and the same will be withdrawn at the end of each year, so that the present value of the regular annuity will be $1,000,000
Total tenure = 25 Years
PV = 1 × [(1-(1 + r)⁻ⁿ] /r = P × [1 +(1.0369)⁻²⁵] /0.0369 =P× 16.147
But as per the condition, PV = $1,000,000
So P =$1000,000 /16.147 =$61,334.36
9514 1404 393
Answer:
Step-by-step explanation:
The ratios of side lengths in a 30°-60°-90° triangle are ...
1 : √3 : 2
In the same order, the given side lengths are ...
y : 9√3 : x
Comparing these two sets of ratios, we see that we can make the first equal to the second by multiplying by 9:
9(1) : 9√3 : 9(2) = y : 9√3 : x
Then y = 9·1 = 9, and x = 9·2 = 18.
The missing side lengths are x = 18, y = 9.
