- What was your mean and standard deviation for female Math 107 students’ heights?
Mean:
Standard Deviation:
Explain how you used the mean and standard deviation to calculate the z-score in cell C2. - Find the z-score for the given students and explain what the z-score value tells us about each student and their relationship to the mean. 20 points
A 60-inch female student
A 72-inch female student - Create a histogram using the z-scores, with a bin width of 1 and a starting value of -4.00 and explain how the shape helps you to know the data is approximately normally distributed.
- Display your relative frequency table and compare the percentages of observations to those required by the Empirical Rule.
- Knowing this data is approximately normally distributed, use any method to find the probability that a female Math 107 student is shorter than 68 inches. Show your work!
- Knowing this data is approximately normally distributed, use any method to find the probability that a female Math 107 student is taller than 66 inches. Show your work!
- The shortest 8% of female Math 107 students are shorter than what height? Show your work!
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