Please help **Lightbulb Replacement Requests at State University - Data Analysis Using Statistical Methods**The maintenance department at the main campus of a large state university receives daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped (normal distribution) with a mean of 61 and a standard deviation of 5.**Problem Statement:**Using the 68-95-99.7 rule (Empirical Rule), what is the approximate percentage of lightbulb replacement requests numbering between 61 and 71?**Empirical Rule Explanation:**The 68-95-99.7 rule states that for a normal distribution:- About 68% of data falls within one standard deviation of the mean.- About 95% of data falls within two standard deviations of the mean.- About 99.7% of data falls within three standard deviations of the mean.**Calculations:**1. **Identify the Range:** - Mean (μ) = 61 - Standard Deviation (σ) = 5 - Range in question: 61 to 712. **Determine Standard Deviation Range:** - Lower bound: Mean (61) + 0*σ = 61 - Upper bound: Mean (61) + 2*σ = 61 + 10 = 713. **Apply the Empirical Rule:** - According to the rule, 95% of the data falls within two standard deviations from the mean. - This means the percentage of lightbulb replacement requests numbered between 61 (mean) and 71 (mean + 2σ) is approximately 47.5%. (Since 95% is for both tails, we consider half for between mean and two standard deviations)**Conclusion:**Therefore, the approximate percentage of lightbulb replacement requests between 61 and 71 is 47.5%.**Interactive Help Videos:**- [Video 1]- [Video 2]**Submission Section:**To answer, do not enter the percent symbol.**Answer:**\[ \text{ans} = \underline{\hspace{5cm}} \% \]**Submit Answer:**[Submit Question]

Answered: Image /qna-images/answer/65054f6f-d25f-4c1f-9925-827f2b32441e.jpg

The maintenance department at the main campus of a large state university receives daily requests to replace fluorecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 61 and a standard deviation of 5. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 61 and 71? Do not enter the percent symbol. ans = %

The maintenance department at the main campus of a large state university receives daily requests to replace fluorecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 61 and a standard deviation of 5. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 61 and 71? Do not enter the percent symbol. ans = %

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 25SGR

See similar textbooks