Answer:
difference in rise is $0.95 = $5.24
lucky charms = $4.29 = 22.03% 0.945
As deviation 0.5 of 4.29 = 97.855%
22.03% of 4.29 = 0.945 = + 4.29 = $5.24
Step-by-step explanation:
z score = 0
A z-score less than 0 represents an element less than the mean. A z-score greater than 0 represents an element greater than the mean. A z-score equal to 0 represents an element equal to the mean.
0.5 : 0.9452
This replaces the deviation
lucky charms = $4.29 = 22.03% more 0.945
As deviation 0.5 of 4.29 = inverse of 97.855% = 0.02145
2.145% 22.03-2.145
22.03% of 4.29 = 0.945 = + 4.29 = 5.235 = $5.24
So this means the difference in rise is $0.95
The mean price of a box of cereal is $3.49.
A z-score measures exactly how many standard deviations a data point is above or below the mean. It allows us to calculate the probability of a score occurring within our normal distribution and enables us to compare two scores that are from different normal distributions.
For the given situation,
The standard deviation, σ = 0.5
The data point, x = $4.29
z-score, z = 1.6
Let the mean price be μ.
The formula of z-score is z = (x- μ) / σ.
On substituting the above values,
⇒ [tex]1.6=\frac{4.29-mean}{0.5}[/tex]
⇒ [tex](1.6)(0.5)=4.29-mean[/tex]
⇒ [tex]0.8=4.29-mean[/tex]
⇒ [tex]mean=4.29-0.8[/tex]
⇒ [tex]mean=3.49[/tex]
Hence we can conclude that the mean price of a box of cereal is $3.49.
Learn more about z-score here
https://brainly.com/question/15501073
#SPJ2
