Answer:
False ,false,true, true and true
Step-by-step explanation:
Using the t-distribution, the 95% confidence interval for the average number of hours of sleep for working college students is between 6.03 and 6.97 hours.
<h3>What is a t-distribution confidence interval?</h3>
The confidence interval is:
![\overline{x} \pm t\frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%5Cpm%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
In which:
is the sample mean.
- s is the standard deviation for the sample.
For this problem, the parameters are given as follows:
![\overline{x} = 6.5, s = 2.4, t = 1.984, n = 101](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%3D%206.5%2C%20s%20%3D%202.4%2C%20t%20%3D%201.984%2C%20n%20%3D%20101)
Hence the bounds of the interval are:
The 95% confidence interval for the average number of hours of sleep for working college students is between 6.03 and 6.97 hours.
More can be learned about the t-distribution at brainly.com/question/16162795
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Answer:
13
Step-by-step explanation:
The hypotenuse is always the longest side on a right triangle.
To find any missing value add the other 2 values and whatever they equal must be greater than the hypotenuse
Answer:
Depth = 7.06 m
Velocity = 11.77 ms-1
Step-by-step explanation:
We use the equation of motion:-
s = ut + 1/2 g
where s = distance fallen , t = time , u = initial velocity and g = 9.81 ms^-2 , the acceleration due to gravity.
So s = 0(t) + 1/2 * 9.81 (1.2)^2
= 7.06 m to nearest tenth.
We use another equation of motion to find the final velocity:-
v^2 = u^2 + 2gs where v = final velocity
v^2 = 0 + 2*9.81 * 7.06
= 138.52
v = √138.52 = 11.77 m s-1
Answer:
Each boy was left with $21.75
Step-by-step explanation: