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Mon, October 3, 2016 Complete the “Working with z-scores” worksheet

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Presentation on theme: "Mon, October 3, 2016 Complete the “Working with z-scores” worksheet"— Presentation transcript:

1 Mon, October 3, 2016 Complete the “Working with z-scores” worksheet
Check 3.4 exercises Check 3.5 exercises

2 3.6 Applications of the Normal Distribution

3 Today’s Objectives Review z-scores and Empirical Rule
Use technology to calculate probabilities in a normal distribution

4 Complete Items 1 – 6 with your team
Be ready to present your answers to the class! (I will randomly select students to present.) Facilitator (1): Moderates team discussion, distributes work Timekeeper(2): Keeps group aware of time constraints. (10 minutes) Checker (3): Check in with other groups or teacher key, checks to make sure all group members understand concepts and conclusions Prioritizer (4): Makes sure group stays focused and on-task

5 You might be wondering…
…what happens if you’re looking for probabilities that are not perfect standard deviations away from the mean? normalcdf (lower bound, upper bound, µ, σ)

6 a. What’s the probability that a randomly
The scores on the CCM3 midterm were normally distributed. The mean is 82 with a standard deviation of 5. a. What’s the probability that a randomly selected student scored between 80 and 90?

7 b. What’s the probability that a randomly
The scores on the CCM3 midterm were normally distributed. The mean is 82 with a standard deviation of 5. b. What’s the probability that a randomly selected student scored below 70?

8 c. What’s the probability that a randomly
The scores on the CCM3 midterm were normally distributed. The mean is 82 with a standard deviation of 5. c. What’s the probability that a randomly selected student scored above 79?

9 You can also work backward to find percentiles!
d. What score would a student need in order to be in the 90th percentile? 90th Percentile invnorm (percent of area to left, , ) ----- Meeting Notes (8/22/14 10:18) ----- percentile instead of probability

10 e. What score would a student need in order to be in top 20% of the class?

11 You try #2

12 2. The average waiting time at Walgreen’s drive-through window is 7
2. The average waiting time at Walgreen’s drive-through window is 7.6 minutes, with a standard deviation of 2.6 minutes. When a customer arrives at Walgreen’s, find the probability that he will have to wait a. between 4 and 6 minutes b. less than 3 minutes c. more than 8 minutes d. Only 8% of customers have to wait longer than Mrs. Jones. Determine how long Mrs. Jones has to wait. 0.186 0.037 0.441 11.25 minutes

13 Questions about normal distribution?

14 Complete Classwork worksheet and turn in for a grade.


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