The Eiffel Tower is 984 feet. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height
1 answer:
Answer:
The ratio is
Step-by-step explanation:
Remember that
1 ft=12 in
The Eiffel Tower is 984 feet
Convert to inches
984 ft=984*12=11,808 in
<em>Find the ratio of the height of the model to the height of the actual Eiffel Tower</em>
The height of the model is 24 in
The height of the actual Eiffel Tower is 11,808 in
the ratio is equal to
That means----> The height of the actual Eiffel Tower is 492 times greater than the height of the model
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Answer:
a)
b)
c)
The 95% confidence interval is given by (13.164.15.136)
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".
Part a
12.6 14.4 14.7 14.5 15.2 13.5.
Assuming that the men in this study are representative of the population of all men, what is an estimate of the population mean increase in height after three full days in bed?
For this case the best estimate for the mean is the average given by this formula:
For our case we are taking differences so would be the mean of differences and we got:
Part b
Assuming 95 % of confidence level. In order to find the critical value is important to mention that we don't know about the population standard deviation, so on this case we need to use the t distribution. Since our interval is at 95% of confidence, our significance level would be given by and
. The degrees of freedom are given by:
We can find the critical values in excel using the following formulas:
"=T.INV(0.025,5)" for
"=T.INV(1-0.025,5)" for
The critical value
Calculate the margin of error (m)
The margin of error for the sample mean is given by this formula:
First we calculate the sample deviation for the differences with this formula:
Part c
The interval for the mean is given by this formula:
And calculating the limits we got:
The 95% confidence interval is given by (13.164.15.136)