The lower and upper limit of the 95% confidence interval is 183.2 and 196.0 unit.
What is a confidence interval ?
When you run your experiment again or resample the population in the same way, you can expect your estimate to fall within a certain range of values a certain percentage of the time. This is known as the confidence interval.
Main Body:
Given in question :
x- bar = 189.6
standard deviation = 10
C.I. = 95% =0.95
N=12
so, degree of freedom (D.F) = N-1 = 11
confidence level (α) = (1- C.I.)/2
= 0.025
according to t- distribution table for d.f = 11 and α= 0.025 , my result is 2.201
Now dividing standard deviation by square root of samples, we get
= 10/√12= 2.887
Lower limit = Mean - 2.201*2.887
= 189.6- 6.354
= 183.246
Upper limit = Mean + 2.201*2.887
= 189.6 + 6.354
= 195.954
Hence the result is 183.2 and 196.
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Answer:
2x(4x + 3)
Step-by-step explanation:
8x^2 + 6
So the common terms that can be taken out are x and 2
Hence, it can be written as 2x (4x + 3)
Answer:
The domain of g(x) is <u>all real numbers</u><u> </u><u>greater</u><u> </u><u>than</u><u> </u><u>or</u><u> </u><u>equal to zero</u><u>.</u>
Answer:
Ratio of coco mix to water is 2 : 3.
Step-by-step explanation:
Given that:
Lindsey used 3 cups of water to 2 tsp of coco mix to make chocolate.
Ratio is the quantitative relationship between two amounts.
Ratio of coco mix to water.
Tsp of coco mix : Cups of water
2 : 3
Hence,
Ratio of coco mix to water is 2 : 3.
Answer:
x
=
2
±
√
7
Explanation:
there are no whole numbers which multiply to - 3
and sum to - 4
we can solve using the method of
completing the square
the coefficient of the
x
2
term is 1
∙
add subtract
(
1
2
coefficient of the x-term
)
2 to
x2
−
4
x
⇒
x
2
+2(−
2
)
x
+
4
−
4
−
3
=
0
⇒
(
x
−
2
)2
−
7
=0
⇒
(
x
−
2
)
2
=
7
take the square root of both sides
⇒
x
−
2
=
±
√
7
←
note plus or minus
⇒
x
=
2
±
√
7←
exact solutions