The degree of suppression of emotions was rated on a scale of 1 to 10. In particular they were asked whether their current tendency was to express or to hold in anger and other emotions. Each person was interviewed and asked about their response to emotions. The researchers looked at 1800 adults enrolled in a health initiative observational study. Researchers wanted to determine whether there was an association between high blood pressure and the suppression of emotions. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see thatĭetermine what type of observational study is described. Since the Confidence is 0.95 or 95%, the value of and, and we can use excel, a calculator or a table to find the critical value. If we assume that the real population standard deviation is the confidence interval is given by:
Now we have everything in order to replace into formula (1):
The excel command would be: "=-T.INV(0.025,7)".And we see that In order to calculate the critical value we need to find first the degrees of freedom, given by: The confidence interval for the mean is given by the following formula: S=7.2 represent the sample standard deviation Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean". The margin of error is the range of values below and above the sample statistic in a confidence interval. It is often expressed a % whereby a population means lies between an upper and lower interval". We have the following procedure:Ī confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. If we assume that for this question we need to find a confidence interval for the population mean. So on this case the 95% confidence interval would be given by (29.06 41.94)Īnd we conclude that the intervals are very similar. So on this case the 95% confidence interval would be given by (29.49 41.51)
You have a solution, you discover that the system has an infinite number of solutions or the system of equation is inconsistent. Subtract the equation two to the equation three:īecause now we have two equations for three unknown values X1, X2 and X3 the system has an infinite number of solutions.Įquivalente system (From matrix to equation notation):įor whatever system you have you need to convert the system into a matrix notation and using the basic operations, described here, reduce the complexity of the system until: Subtract two times the equation two to the equation three:ĭivide equation number three by minus three and subtract two times the equation one to equation two: Gauss-Jordan method solves the system of equations by applying simple operations to the Matrix: Multiplication by non-zero numbers, adding a multiple of one row to another and swapping rows.ĭivide both sides of equation one by two: As you can see all the coefficients in the equation are divisible by two, so we can express the system of equations as follow:Ĥ. We can represent it as a matrix by placing every number of the equation as follow:ģ.
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Therefore, I'll just explain how to use Gauss-Jordan in a system of equations and you can apply the same method to the system of equations you have.Īnswer with explanation and step by step solution:Ģ. Hi, you haven't provided the system of linear equations that you need to solve.
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