Solve the equation. Check your solution. 8=m-7
2 answers:
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The correct comparison for Weeks 5-8 is higher than Week 1-4, hence, the job satisfaction for Week 5-8 is 17% higher.
<u>Job Satisfaction Score</u> :
- Week 1 = 3.50
- Week 2 = 3.40
- Week 3 = 3.30
- Week 4 = 3.60
- Week 5 = 4.20
- Week 6 = 4.00
- Week 7 = 4.10
- Week 8 = 3.90
<u>Job Satisfaction for week 1 - 4</u> :
- Week 1 + Week 2 + Week 3 + Week 4
- (3.50 + 3.40 + 3.30 + 3.60) = 13.80
<u>Job Satisfaction for Week 5 - 8</u> :
- Week 5 + Week 6 + Week 7 + Week 8
- (4.20 + 4.00 + 4.10 + 3.90) = 16.20
<u>Difference</u><u> between the two categories</u> :
[(Week 5 - 8) - (Week 1-4)] / Week 1-4] × 100%
(16.20 - 13.80) / 13.80 × 100%
(2.4 / 13.80) × 100%
0.1739 × 100%
= 17.39%
Therefore, the job satisfaction for Week 5 - 8 is about 17% higher than Week 1 - 4
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Answer:
So the value of height that separates the bottom 45% of data from the top 55% is 1022.532.
Step-by-step explanation:
1) Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
2) Solution to the problem
Let X the random variable that represent the consumption levels of a population, and for this case we know the distribution for X is given by:
Where and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.45 of the area on the left and 0.55 of the area on the right it's z=-0.26. On this case P(Z<-0.126)=0.45 and P(z>-0.126)=0.55
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 45% of data from the top 55% is 1022.532.