A researcher plans to identify each participant in a certain medical experiment with a code consisting of either a single letter
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Answer:
The degrees of freedom are given by:
The p value for this case would be given by:
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes
Step-by-step explanation:
Information given
represent the sample size
represent the confidence level
represent the sample variance
represent the value that we want to verify
System of hypothesis
We want to test if the true deviation for this case is lesss than 5minutes, so the system of hypothesis would be:
Null Hypothesis:
Alternative hypothesis:
The statistic is given by:
And replacing we got:
The degrees of freedom are given by:
The p value for this case would be given by:
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes
The recursive definition for the geometric sequence is given as follows:
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which is the first term.
The recursive definition of a geometric sequence is given by:
In this problem, we have that the first term and the common ratio are given, respectively, by:
.
Hence the recursive definition is given by:
More can be learned about geometric sequences at brainly.com/question/11847927
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The diameter of a circle by definition goes from one "side" of the circle to the other "side" and goes through the center. If we are given the coordinates of the endpoints of the diameter, we need to find the midpoint of that segment to find the center of the circle. The midpoint formula is as follows 
. Filling in accordingly, we have 
. Doing the math on that gives us a midpoint of (-7, -6), which is also the center of the circle.