Answer:
The null hypothesis will not be rejected.
Step-by-step explanation:
The hypothesis for the test is:
<em>H</em>₀: There is no difference between the two population means, i.e. <em>d</em> = 0.
<em>Hₐ</em>: There is a significant difference between the two population means, i.e. <em>d</em> ≠ 0.
Consider the Excel output attached.
The mean of the differences is, 
.
The standard deviation of the differences is, 
.
Compute the test statistic as follows:
The degrees of freedom is, n - 1 = 7.
Compute the <em>p</em>-value as follows:
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
<em>p</em>-value = 0.112 > α = 0.02.
The null hypothesis will not be rejected.
The exponent is a positive number, so you move the decimal point, that many places to the right:
3.276 x 10^9 = 3,276,000,000
Answer:
Step-by-step explanation:
<u>The full question:</u>
<em>"A committee has eleven members. there are 3 members that currently serve as the boards chairman, ranking members, and treasurer. each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman, ranking member, and treasurer. What is the probability of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current positions?"</em>
<em />
<em />
The permutation of choosing 3 members from a group of 11 would be:
P(n,r) = 
Where n would be the total [in this case n is 11] & r would be 3
Which is:
P(11,3) = 
So there are total of 990 possible way and there is ONLY ONE WAY for them to be reassigned. Hence the probability would be:
1/990
Answer:
115%(15,800)= $18,170. <--- markup price
$15,800+$18,170= $33,970 total price
That is 115% x $15,800 = $18,170 markup price
Then add the original price to the markup price
That is $15,800 + $18,170 = $33,970
