Answer:
For 2017 Season:
Mean = 75
Standard deviation = 2.07
For 2018 Season:
Mean = 75
Standard deviation = 5.26
Step-by-step explanation:
The following formulas will be used in these calculations:
Mean = (sum of the values) / n
Variance = ((Σ(x - mean)^2) / (n - 1)
Standard deviation = Variance^0.5
Where;
n = number of values = 8
x = each value
For 2017 Season
Mean = (73 + 77 + 78 + 76 + 74 + 72 + 74 + 76) / 8 = 600 / 8 = 75
Variance = ((73-75)^2 + (77-75)^2 + (78-75)^2 + (76-75)^2 + (74-75)^2 + (72-75)^2 + (74-75)^2 + (76-75)^2) / (8-1) = 30 / 7 = 4.29
Standard deviation = Variance^0.50 = 4.29^0.5 = 2.07
For 2018 Season
Mean = (70 + 69 + 74 + 76 + 84 + 79 + 70 + 78) / 8 = 75
Variance = ((70-75)^2 + (69-75)^2 + (74-75)^2 + (76-75)^2 + (84-75)^2 + (79-75)^2 + (70-75)^2 + (78-75)^2) / (8-1) = 194 / 7 = 27.71
Standard deviation = Variance^0.50 = 27.71^0.5 = 5.26
Answer:
(-2, 10]
Step-by-step explanation:
Answer:
The appropriate solution is:
(a) 0.1056
(b) 0
(c) 0.9544
Step-by-step explanation:
The given values are:
Mean,

Standard deviation,

(a)
⇒ 



By using the table, we get


(b)
According to the question, the values are:
= 64
= 75
Now,
⇒
= 
= 
= 
= 
⇒ 
![=1 - P[\frac{(\bar x-\mu_\bar x)}{\sigma \bar x} < \frac{80-75}{0.5} ]](https://tex.z-dn.net/?f=%3D1%20-%20P%5B%5Cfrac%7B%28%5Cbar%20x-%5Cmu_%5Cbar%20x%29%7D%7B%5Csigma%20%5Cbar%20x%7D%20%3C%20%5Cfrac%7B80-75%7D%7B0.5%7D%20%20%5D)

By using the table, we get


(c)
As we know,
⇒
= 
= 
= 
= 
then,
= 
= ![P[\frac{74-75}{0.5} < \frac{\bar x-\mu \bar x}{\sigma \bar x} < \frac{76-75}{0.5} ]](https://tex.z-dn.net/?f=P%5B%5Cfrac%7B74-75%7D%7B0.5%7D%20%3C%20%5Cfrac%7B%5Cbar%20x-%5Cmu%20%5Cbar%20x%7D%7B%5Csigma%20%5Cbar%20x%7D%20%3C%20%5Cfrac%7B76-75%7D%7B0.5%7D%20%5D)
= 
=
By using the table, we get
= 
= 
Answer:
The difference in cost, in dollars, per ounce between the two boxes of cereal is $0.06.
Step-by-step explanation:
☆Let's solve using proportion.
☆One box:

☆Another box:

☆All we need to do is subtract: 
☆The difference in cost, in dollars, per ounce between the two boxes of cereal is $0.06.