Answer: test statistic = 0.002
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 15
For the alternative hypothesis,
µ > 15
The inequality sign means that it is right tailed.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 36,
Degrees of freedom, df = n - 1 = 36 - 1 = 35
t = (x - µ)/(s/√n)
Where
x = sample mean = 16.33
µ = population mean = 15
s = samples standard deviation = 2.54
t = (16.33 - 15)/(2.54/√36) = 3.14
We would determine the p value using the t test calculator. It becomes
p = 0.002
Answer:
Step-by-step explanation:
We have the following equation:
We can use the quadratic formula given by:
Where:
And replacing we got:
Answer:
0 ≤ x ≤ 10
Step-by-step explanation:
The domain of f(x) is the set of values of x for which the function is defined. Here, the square root function is only defined for non-negative arguments, so we require ...
-x^2 +10x ≥ 0
x(10 -x) ≥ 0
The two factors in this product will both be positive only for values ...
0 ≤ x ≤ 10 . . . . the domain of f(x)
Answer:
x=5/9
Step-by-step explanation:
-7x-3x+2=8x-8
Add -7x-3x.
-10x+2=8x-8
Add -10x on both sides (to cancel out the -10x on the left side)
2=18x-8
Add 8 on both sides (to cancel the -8)
10=18x
Divide 18 on both sides
10/18 simplified is 5/9.
x=5/9