First let us calculate for the total time of the travel
using the formula:
time = distance / velocity
time = 90 miles / 40 mph
time = 2.25 hours
Next, we calculate for the total gallons of fuel that is
theoretically required:
theoretical amount needed = 90 miles / 24 mpg
theoretical amount needed = 3.75 gallons
The difference of the actual and theoretical amount is the
amount which leaked:
amount leaked = 8 gallons – 3.75 gallons
amount leaked = 4.25 gallons
Therefore the amount of gallons leaked per hour is:
amount leaked per hour = 4.25 gallons / 2.25 hours
<span>amount leaked per hour = 1.89 gallons / hr</span>
The Mean = (135 + 71 + 69 + 80 + 158 + 152 + 161 + 96 + 122 + 118 + 87 + 85 ) : 12 = 111.166
The smallest value : 69
The greatest value : 161
s² = ∑( x i - x )² / ( n - 1 )
s² = ( 568.274 + 1613.3 + 1777.97 + 971.32 + 2193.42 + 1667.4 + +2483.42 + 230 + 117.38 + 46.7 + 584 + 684.66 ) : 11
s² = 1176.1676
s = √s² = √1176.1676
s ( Standard deviation ) = 34.295
All the values fall within 2 standard deviations:
x (Mean) - 2 s and x + 2 s
Answer:
Step-by-step explanation:
Hello!
You have two variables of interest.
X₁: Weight of a popcorn bag.
It's mean is μ= 3.05 ounces and it's standard deviation δ= 0.02 ounces.
X₂: Weight of a potato chips bag.
With mean μ= 5.07 ounces and standard deviation δ= 0.04 ounces.
A bag of popcorn is randomly selected and its weight is X₁= 3.02 and a bag of potato chips is randomly selected with weight X₂= 5.03.
Since these two values are from completely different distributions, you cannot compare them, but if you convert these values to their equivalent Z value. For this, you will subtract the mean of their distribution and dive them by their standard deviation.
Z= (X-μ)/δ ~N(0;1)
Bag of popcorn: Z=(3.02-3.05)/0.02= -1.5
The selected bag of popcorn is 1.5δ away from the mean.
I hope it helps!
Answer:
On this case a margin of error of means that the true population proportion is 3.5% above or below the estimated proportion calculated from the sample. And this value helps in order to find the limits for a confidence interval with a confidence given.
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".
The population proportion have the following distribution
Solution to the problem
The margin of error for the proportion interval is given by this formula:
(a)
On this case a margin of error of means that the true population proportion is 3.5% above or below the estimated proportion calculated from the sample. And this value helps in order to find the limits for a confidence interval with a confidence given.