Answer:
The <em>p</em>-value is 0.809.
Step-by-step explanation:
In this case we need to perform a significance test for the standard deviation.
The hypothesis is defined as follows:
<em>H</em>₀: <em>σ</em>₀ = 4 vs. <em>Hₐ</em>: <em>σ</em>₀ ≤ 4
The information provided is:
<em>n</em> = 9
<em>s</em> = 3
Compute the Chi-square test statistic as follows:


The test statistic value is 4.5.
The degrees of freedom is:
df = n - 1
= 9 - 1
= 8
Compute the <em>p</em>-value as follows:

*Use a Chi-square table.
Thus, the <em>p</em>-value is 0.809.
Answer:
4). 47 - 29i
Step-by-step explanation:
(5+√-36)*(1-√-49)=5*1 -5√-49+1*√-36 -√-36√-49 = 5-5*7i +6i-6i*7i=
=5-35i+6i-42(-1)=5+42-41i= 47 - 29i
0.3, 30% is the correct answer
Answer:
40,320
Step-by-step explanation:
The first object in the arrangement can be chosen 8 ways. The second, 7 ways (after the first one is chosen). And so on down to the last object, which will be the only remaining one. Altogether, the number of ways you can arrange the objects is ...
8·7·6·5·4·3·2·1 = 8! = 40,320