D. there is a perfect association between the variables
Answer:
I believe the answers are
B) 1
D) $1,000
Step-by-step explanation:
1st question
$23,760-(4000+6000)=$13,760
$13,760 x 4%=$ 550.40
2nd question
$43,300-(2000+2000)= $39,300
$39,300 x 5%= $1,965
5 yellow marbles out of total of 17 marbles so 5/17
The confidence interval formula is computed by:
Xbar ± Z s/ sqrt (n)
Where:
Xbar is the mean
Z is the z value
S is the standard deviation
N is the number of samples
So our given are:
90% confidence interval with a z value of 1.645
Sample size 40, 45
Mean 180, 179
Standard deviation 2, 4
So plugging that information in the data will give us a
confidence interval:
For 1:
Xbar ± Z s/ sqrt (n)
= 180 ± 1.645 (2 / sqrt (40))
= 180 ± 1.645 (0.316227766)
= 180 ± 0.520194675
= 179.48, 180.52
For 2:
Xbar ± Z s/ sqrt (n)
= 179 ± 1.645 (4 / sqrt (45))
<span>= 179 ± 1.645 (0.596284794)</span>
therefore, the answer is letter b