The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the two other sides.
That means if you add up the distance from jacksonville to tampa and the distane from tampa to miami, the distance from jacksonville to miami must be less than that.
171 miles + 206 miles = 377 miles
the distance from jacksonville to miami must be less than 377 miles
Answer:
95% Confidence interval for taxi fare: ($20.5,$24.2)
Step-by-step explanation:
We are given the following data set: for fares:
$22.10, $23.25, $21.35, $24.50, $21.90, $20.75, and $22.65
Formula:
95% Confidence interval:
Putting the values, we get,
Census
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Question 1
Which type of study best describes the following research most likely to be done?
A researcher is testing out a brand new type of safety suit for fires and is trying to test the maximum threshold of the suit.
Simulation Study
Question 2
Which type of study best describes the following research most likely to be done?
A test is being conducted on a new medicine that is supposed to heal cuts faster. One group is given the actual medicine in a gel type of ointment to apply to the cuts. The second group is given just regular Vaseline that looks like the medicine but has not benefit to put on the cut. The results are then compared.
Experimental Study
Question 3
Which type of study best describes the following research most likely to be done?
A researcher is wanting to research the after effects of plant growth after a nuclear reactor meltdown and decides to study plants within a 50 mile radius of the power plant that had a catastrophic melt down in 2011.
Observational Study
Question 4
Which type of study best describes the following research most likely to be done?
A study is being conducted by an insurance actuary and he wants to determine how often American teen drivers that are on the honor roll get into wrecks.
Sampling
Question 5
Which type of study best describes the following research most likely to be done?
A teacher wants to know how fast all her students for a particular period can complete a multiplication quiz to check their mental math abilities. So, all of her students are tested on a computer and the time of each and every student is recorded.
Census
Answer:
(5.4582 ; 6.8618)
Step-by-step explanation:
Given the data:
6 10 2 6 3 3 3 6 6 6 6 5 8 9 10 10 7 9 3 6 5 10 9 9 10 3 8 6 6 3 3 6 6 5 4 10 9 3 5 7 10 6 3 8 6 8 3 3 5 5
Sample mean, xbar = Σx / n
n = sample size = 50
ΣX = 308
xbar = 308 / 50 = 6.16
Using a Calculator :
The sample standard deviation, s = 2.469
Confidence interval = xbar ± margin of error
Margin of Error = Tcritical * s/sqrt(n)
Tcritical at 95% ; df = 50 - 1 = 49
Tcritical = 2.010
Hence,
Margin of Error= 2.010 * (2.469/sqrt(50)) = 0.7018
Lower boundary : (6.16 - 0.7018) = 5.4582
Upper boundary : (6.16 + 0.7018) = 6.8618
(5.4582 ; 6.8618)
