An example of a time when it would be useful to use a z-score
Make a post with the following:1. Come up with an example of a time when it would be useful to use a z-score. This must be your own original example.
2. Discuss the process you went through to answer the last question on the individual assignment for this week. Explain how you found the answer and what, specifically, you did to find and calculate that answer:
Question 11
If you randomly select a new business from social media, and count the number of likes on their recent post, what percentage of the time would that business have between 315 and 350 likes? (Hint: use the z table in the appendix of your textbook to answer this question)?
To get full credit, you must demonstrate all calculations, values you used from the appendix, and steps you took to get your answer (that is, your answer must include the z score, the area under the curve that you found in the appendix, and how you came to your final answer).
Solution
X1 = 315
X2 = 350
P (X1 < Z < X2)
P (-2.457 < Z < 0.037)
(0.007 < X < 0.516) Using Z-table
(0.516 – 0.007) = 0.509 (Subtract the lowest probability from the highest)