I need a bit of help with this, May you please help me?15 points.
2 answers:
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Good evening ,
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Answer:
(1) x=17
(2) x=16
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Step-by-step explanation:
Look at the photo below for the details.
:)
Answer:
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 94 at 5% of signficance.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is different from 94, the system of hypothesis are :
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
Since is a two-sided test the p value would be:
Conclusion
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 94 at 5% of signficance.
Answer:
La señora María debe pagar 463.635 guaraníes por concepto de intereses,
Step-by-step explanation:
Se recomienda utilizar el modelo de interés compuesto puesto que la tasa de interés es constante y periódico, dado que se conoce el monto a pedir prestado, la tasa de interés y el número de anualidades, se obtiene el monto final. La cantidad de dinero a pagar es la diferencia entre ese resultado y el monto a ser prestado.
El modelo de interés compuesto es representado por la siguiente fórmula:
(1)
Donde:
- Cantidad de dinero a prestar, medida en guaraníes.
- Razón de interés interanual, adimensional.
- Anualidad, medida en años.
- Cantidad de dinero asociada a la anualidad actual, medida en guaraníes.
Si sabemos que ,
y
, entonces la cantidad de dinero asociada al término del período de préstamo es:
Finalmente, la cantidad de dinero a pagar por concepto de intereses es:
La señora María debe pagar 463.635 guaraníes por concepto de intereses,