A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. When he started his diet, he weighed
79.579.579, point, 5 kilograms. He gained weight at a rate of 5.55.55, point, 5 kilograms per month.
Let yyy represent the sumo wrestler's weight (in kilograms) after xxx months.
Which of the following could be the graph of the relationship?
Let yyy represent the sumo wrestler's weight (in kilograms) after xxx months.
Which of the following could be the graph of the relationship?
1 answer:
Answer:
Step-by-step explanation:
Let y represent the sumo wrestler's weight (in kilograms) after x months.
When he started his diet, he weighed 79.5 kilograms, this means x = 0 months, y = 79.5 kg. So, y-intercept is at point (0, 79.5).
He gained weight at a rate of 5.5 kilograms per month, so the slope of the linear function is 5.5.
Hence the equation of the linear function in the slope-intercept form is
The graph of this function is attached.
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Answer:
The confidence interval for the mean is given by the following formula:
(1)
And for this case the 95% confidence interval is given by (2.13; 2.37)
We have a point of estimate for the sample mean with this formula:
And for the margin of error we have the following estimation:
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
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".
represent the sample mean
population mean (variable of interest)
s represent the sample standard deviation
n represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
And for this case the 95% confidence interval is given by (2.13; 2.37)
We have a point of estimate for the sample mean with this formula:
And for the margin of error we have the following estimation:
