A data set includes 103 body temperatures of healthy adult humans for which x= 98.1 and s = 0.56.
1 answer:
Answer:
98.1, No does not contain, yes contains.
Step-by-step explanation:
Given that
sample size n =103
Sample mean = 98.1
sample std dev s = 0.56
a) the best point estimate of the mean body temperature of all healthy humans = sample mean =98.1
b) 99% confidence interval estimate of the mean body temperature of all healthy humans
We can use Z critical since sample size is large though sigma is not known
99% CI =
This does not contain 98.6
This sample does not represent the population, i.e. may be biased sample.
c) CI of population mean
= populaiton mean + /- margin of error
=(98.545, 98.656)
Yes contains 98.6
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Draw a vertical line (see side note below) through 4 on the x axis. I've done so in red (see attached image). The red line crosses the graph at the point (4,1) so this tells us that y = 1
Answer: y = 1
Side Note: you don't have to draw a vertical red line but it's handy to see how it works out. After you get used to these types of problems, you can visually be able to see the answer without these extra lines.
Answer:
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Step-by-step explanation:
Let , for
.
represents the temperature of the water, measured in degrees Celsius, and
is the number of salmon swimming upstream to spawn, dimensionless.
We compute the first and second derivatives of the function:
(Eq. 1)
(Eq. 2)
Then we equalize (Eq. 1) to zero and solve for :
And all roots are found by Quadratic Formula:
,
Only the first root is inside the given interval of the function. Hence, the correct answer is:
Now we evaluate the second derivative at given result. That is:
According to the Second Derivative Test, a negative value means that critical value leads to a maximum. In consequence, the water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.