A pet shelter 42 kittens for adoption at the beginning of the week by the end of the week there were 21 kittens left find the pe
1 answer:
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Answer:
And the 2 is because we are conducting a bilateral test.
since the the
we fail to reject the null hypothesis.
since the the
we fail to reject the null hypothesis.
Step-by-step explanation:
Data given
population mean (variable of interest)
represent the population standard deviation
represent the sample deviation
n=15 represent the sample size
represent the values for the significance level
Hypothesis test
On this case we want to check if the population standard deviation is equal or not to 0.2, so the system of hypothesis are:
H0:
H1:
In order to check the hypothesis we need to calculate the statistic given by the following formula:
This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.
What is the value of your test statistic?
Now we have everything to replace into the formula for the statistic and we got:
P value
We know the degrees of freedom of the distribution 14 on this case and we can find the p value like this:
And the 2 is because we are conducting a bilateral test.
since the the
we fail to reject the null hypothesis.
since the the
we fail to reject the null hypothesis.
9514 1404 393
Answer:
14.3%
Step-by-step explanation:
We assume this question is asking for the annual interest rate for an amortized loan that would produce the same total repayment amount as if 8% simple interest were added to the $4900 loan amount. There is no formula for that, but there are a number of apps and spreadsheets that can calculate it. In the attached, we have use a graphing calculator.
The APR is about 14.3%.
_____
The amount to be repaid is calculated using the simple interest formula:
A = P(1 +rt) = $4900(1 +0.08·4) = $6468
Then the required monthly payment (for 48 months) is ...
$6468/48 = $134.75
__
The payment amount for a 48-payment loan at rate r on a principal of $4900 will be ...
A = 4900(r/12)/(1 -(1 +r/12)^-48)
In the attachment, we show the value of r (in percent) that would make the payment amount A be $134.75. We have done this by casting the problem in the form f(r) = 0 and looking for the x-intercept of f(r).
_____
<em>Additional comment</em>
The second attachment uses a spreadsheet for the same purpose. Here, we have used Go.ogle Sheets with a "Goal Seek" add-on to adjust the value in cell B5 so that the computed payment on the loan (cell B6) is the same as the value we calculated in cell B4.
We found the graphing calculator solution to be much quicker, though in that case we actually had to know the formula to use to calculate the payment. The payment formula is built into the spreadsheet.
