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gulaghasi [49]
2 years ago
12

10. Depression. A study published in the Archives of

Mathematics
1 answer:
alexandr402 [8]2 years ago
5 0

Among people who suffer from cardiac disease, are depressed patients more likely to die than nondepressed ones?

  • Yes, they are.

a) The kind of design which was used to collect these data is:

  • Quantitative Research Design:

b) The appropriate hypotheses is:

  • People who are depressed are more likely to die from cardiac arrest than people who are not depressed.

c) Are the assumptions and conditions necessary for inference satisfied?

  • No, it is not. More tests and samples need to be concluded to make sure that it is not a chance occurrence.

d) Test the hypothesis and state your conclusion,

  • The hypothesis made is consistent with the statistical data but there needs to be more observation and independent variables used.

e) The best explanation of this context based on what your P-value means is:

  • The measure of probability of the observed difference between the groups of people shows that there is a small chance for the results being as a result of a random chance.

f) If your conclusion is actually incorrect, the type of error which was committed is:

  • Type II error.

<h3>What is a Hypothesis?</h3>

This refers to the explanation which is given to a particular phenomena based on the trials and research done of which a conclusion has been made.

Read more about hypothesis here:
brainly.com/question/11555274

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If Tanisha has ​$1000 to invest at 7​% per annum compounded semiannually​, how long will it be before she has ​$1600​? If the co
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Answer:

Using continuous interest 6.83 years before she has ​$1600​.

Using continuous compounding, 6.71 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

The amount of money earned after t years in continuous interest is given by:

P(t) = P(0)e^{rt}

In which P(0) is the initial investment and r is the interest rate, as a decimal.

If Tanisha has ​$1000 to invest at 7​% per annum compounded semiannually​, how long will it be before she has ​$1600​?

We have to find t for which A(t) = 1600 when P = 1000, r = 0.07, n = 2

A(t) = P(1 + \frac{r}{n})^{nt}

1600 = 1000(1 + \frac{0.07}{2})^{2t}

(1.035)^{2t} = \frac{1600}{1000}

(1.035)^{2t} = 1.6

\log{1.035)^{2t}} = \log{1.6}

2t\log{1.035} = \log{1.6}

t = \frac{\log{1.6}}{2\log{1.035}}

t = 6.83

Using continuous interest 6.83 years before she has ​$1600​

If the compounding is​ continuous, how long will it​ be?

We have that P(0) = 1000, r = 0.07

Then

P(t) = P(0)e^{rt}

1600 = 1000e^{0.07t}

e^{0.07t} = 1.6

\ln{e^{0.07t}} = \ln{1.6}

0.07t = \ln{1.6}

t = \frac{\ln{1.6}}{0.07}

t = 6.71

Using continuous compounding, 6.71 years.

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