Math Problem Statement
We have collected data on the total number of minutes students spend completing their Unit 2 project (due this Sunday!). Find the percent of students who complete the project in less than 2.5 hours (150 minutes), with the statistics below.
For your second post, find the z-score and number of minutes that represent the 90th percentile of times, which gives the time cutoff for the 10% of students who take the longest). The times follow a normal model with a mean of 184.2 minutes and a standard deviation of 47.5 minutes.
Please separate these into two posts and explain how to also di it in excel as well.
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Normal Distribution
Percentiles
Z-scores
Formulas
z = (x - μ) / σ
Percentile: Using inverse of cumulative distribution function (CDF)
Theorems
68-95-99.7 Rule (Empirical Rule)
Suitable Grade Level
Grades 11-12
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