34 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 25.9 pounds and a standard deviation of 3.8 pounds. What is the 95% confidence interval for the true mean weight, μ, of all packages received by the parcel service?24.6 < μ < 27.2
24.8 < μ < 27.0
24.2 < μ < 27.6
24.4 < μ < 27.4
Answers
The 95% confidence interval for the true mean weight, μ, of all packages received by the parcel service is;
Option A; 24.6 < μ < 27.2
We are given;
Sample mean; x' = 25.9 pounds
Standard deviation; σ = 3.8 pounds
Confidence level; CL = 95%
Sample size; n = 34
Now formula for confidence interval is;
CI = x' ± z( σ/√n)
Where z is critical value at given confidence level.
z at CL of 95% is; z = 1.96
Thus;
CI = 25.9 ± 1.96(3.8/√34)
CI = 25.9 ± 1.3
CI = (25.9 - 1.3), (25.9 + 1.3)
CI = (24.6, 27.2)
Read more at; brainly.com/question/12970960
Answer:
24.6 < μ < 27.2
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 25.9 - 1.3 = 24.6 pounds.
The upper end of the interval is the sample mean added to M. So it is 25.9 + 1.3 = 27.2 pounds.
So the correct answer is:
24.6 < μ < 27.2
Related Questions
Plz help me with my hw
The temperature at 6:00 a.m. was ‐3.5°C. From 6:00 to 7:00, the temperature increased 2.5°C. From 7:00 to 8:00, it decreased by 0.25°C, and from 8:00 to 11:00, the temperature dropped 3.25°C. Which expression shows the temperature in °C at 11:00 a.m.?
Rename the number 8 hundreds 4 tens = 84
N^2+7n+15=5 show work please
Answers
Answer:
C
Step-by-step explanation:
3x + 6y = 3
Answers
First is by substitutingwe would need to free one of the variable to solve it. It can be one or the other it would result in both ways.
5x - 6y = -113x + 6y = 3
3x + 6y = 3
x=(-6y+3)/3
x= -2y+1
Now we use this and put it in the other of the equations
5(-2y+1) - 6y = -11-10y+5-6y=-11
-16y=-11-5
-16y=-16
y=-16/-16
y=1
Now we use this to find x.
x=-2y+1
x=-2(1)+1
x= -2+1
x=-1
Now that we now our variables we have to check if the are correct.
5x - 6y = -115(-1)-6(1)= -11
-5-6=-11
-11=-11
3x + 6y = 3
3(-1)+6(1)= 3
-3+6=3
3=3
So yeah x=-1 and y= 1
That's a way to solve it there is another way that is by eliminating.
so i this we have to delete a variable in both equations. In thi scase we can take y becuase if we sum the bothe quation 6y and-6y get eliminated.
5x - 6y = -113x + 6y = 3
8x= -8
x= -8/8
x=-1
Now we use this to find the other variable
5(-1) - 6y = -11-5-6y=-11
-6y= -11+5
-6y=-6
y=-6/-6
y= 1
So now we have to check if the are correct.
5x - 6y = -115(-1)-6(1)= -11
-5-6=-11
-11=-11
3x + 6y = 3
3(-1)+6(1)= 3
-3+6=3
3=3
That's that
X= -1
Y= 1
Hope it helped
3x + 6y = 3
Rearrange the 2nd equation:
3x + 6y = 3
Subtract 6y to both sides:
3x = -6y + 3
Divide 3 to both sides:
x = -2y + 1
Plug in 2y + 1 for 'x' in the 1st equation:
5x - 6y = -11
5(-2y + 1) - 6y = -11
Distribute 5:
-10y + 5 - 6y = -11
Combine like terms:
-16y + 5 = -11
Subtract 5 to both sides:
-16y = -16
Divide -16 to both sides:
y = 1
Plug this into any of the two equations to find 'x':
3x + 6y = 3
3x + 6(1) = 3
3x + 6 = 3
Subtract 6 to both sides:
3x = -3
Divide 3 to both sides:
x = -1
So our solution is:
(-1, 1)
Answers
Answer:
x=1
Step-by-step explanation:
First, subtract 3 from both sides. Then divide both sides by two and you will get x=1.
Here is how it goes:
- 2x+3=5
- 2x=2
- x=1
Answers
34 is what percent of 55
= 34 / 55
= 0.61818
Converting decimal to a percentage:
0.61818 * 100 = 61.8%
The answer is about 62%. 34/55=.618181818 so you would move the decimal over 2 places to make it a percent and round.
Answers
9 will only work if the digits in the answer add up to 9. 18: 1+8=9
99: 9+9=18 and 1+8=9 So it can't be divided by 9 102: 1+0+2=3 (not 9)
That leaves 6 and six works - here's why.
There is a rule for 3's that says that the sum of the digit must add up to 3, 6 or 9.
Look:
3x1 = 3
3 x 2 = 6
3 x 3 = 9
3 x 4 = 12 and 1+2=3
3 x 5 = 15 and 1+ 5 = 6
3 x 6 = 18 and 1+ 8 = 9
3 x 7 = 21 and 2 +1 = 3 and so on - do you see the 3,6,9 pattern repeating.
Six follows the same rule except the number must be even. Look above to see that 6 works with 6, 12 and 18 but not the others.
So 102 is divisible by 3 (1+0+2 = 3) AND it is an even number - therefore it is divisible by 6. Here's proof: 6 x 15 = 90 and 102 is 12 more than 90 and six goes into that 12)
I hope that this will help you feel better. I don't want you to cry. :-)
Answers
1.2 - .8=.4
1.2/.4=.33
Answer:
67%
Step-by-step explanation: