Answer:
The 95% Confidence Interval for the difference between the two population mean completion times =
(0.081, 1.919)
Step-by-step explanation:
Confidence Interval for difference between two means =
μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2
Where
μ1 = mean 1 = 12 mins
σ1 = Standard deviation 1 = 2 mins
n1 = 100
μ2= mean 2 = 11 mins
σ2 = Standard deviation 2 = 3 mins
n1 = 50
z score for 95% confidence interval = 1.96
μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2
= 12 - 11 ± 1.96 × √2²/100 + 3²/50
= 1 ± 1.96 × √4/100 + 9/50
= 1 ± 1.96 × √0.04 + 0.18
= 1 ± 1.96 × √0.22
= 1 ± 1.96 × 0.469041576
= 1 ± 0.9193214889
Confidence Interval
= 1 - 0.9193214889
= 0.0806785111
≈ 0.081
1 + 0.9193214889
= 1.9193214889
≈ 1.919
Therefore, the 95% Confidence Interval for the difference between the two population mean completion times =
(0.081, 1.919)
Answer:
6m
Step-by-step explanation:
Hope this helps!!!
We are given displacement = 20 meters.
Time given = 4.7 seconds.
Velocity = 4.3 m/s.
Please note : Velocity is a vector quantity. A vector quantity depends on magnitude and direction as well.
We are given magnitude of displacement = 20 meter and time 4.7 seconds but the direction is missing there.
If it would be in forward direction it would be positive and if it would be in backward direction, it would be of negative.
Therefore, <u>"B)the direction"</u> is correct option.
Answer:
x=44
Step-by-step explanation:
Making the equation in terms of x:
0.2x + 0.8 = 9.6
-0.8 -0.8
0.2x=8.8
*5 *5
x=44
