Answer:
we can conclude that there is significant evidence to support the stance that mean pH value in water differs from 8.5
Step-by-step explanation:
H0 : μ = 8.5
H1 : μ < 8.5
Test statistic :
(xbar - μ) / s/sqrt(n)
(8.24 - 8.5) ÷ (0.16 ÷ √12)
-0.26 ÷ 0.0461880
Test statistic = - 5.63
The Pvalue can be obtained from the test statistic value using a Pvalue calculator :
df = 12 - 1 = 11
Pvalue = 0.000077
Using an α value of 0.05 ; we can conclude that
Pvalue < α ; We reject H0
Hence, we can conclude that there is significant evidence to support the stance that mean pH value in water differs from 8.5
Answer:
a) 1/64
b) 1/4096
Step-by-step explanation:
As you can tell from the example, the exponent of 1/2 is the number of heads in a row.
a) p(6 heads in a row) = (1/2)^6 = 1/(2^6) = 1/64
b) p(12 heads in a row) = (1/2)^12 = 1/(2^12) = 1/4096
_____
<em>Additional comment</em>
The probability of a head is 1/2 because we generally are concerned with a "fair coin." That is defined as a coin in which each of the 2 possible outcomes has the same probability, 1/2. Similarly, a "fair number cube" has 6 faces, and the probability of each is defined to be the same as any other, 1/6. Loaded dice and unfair coins do sometimes show up in probability problems.
Answer:
<em>the simplified form of 3/135 is 1/45</em>
Step-by-step explanation:
<em>What i did was 135 divided by 3 which i got 45 then turned it into a fraction which would be 1/45</em>
