Download presentation

1
**5.3 Normal Distributions: Finding Values**

Find a z-score given the area under the normal curve Transform a z-score to an x-value Find a specific data value of a normal distribution given the probability

2
**Try it yourself 1 -1.77 -1.96 and 1.96 Finding a z-Score Given an Area**

Find the z-score that has 96.16% of the distribution’s area to the right. Find the z-score for which 95% of the distributions area lies between –z and z. -1.77 -1.96 and 1.96

3
Try it yourself 2 Finding a z-Score Given a Percentile Find the z-score that corresponds to each percentile. P₁₀ P₂₀ P₉₉ -1.28 -0.84 2.33

4
**Transforming a z-Score to an x-Value**

To transform a standard z- score to a data value x in a given population, use the formula x = µ+zα

5
Try it yourself 3 Finding an x-Value Corresponding to a z-Score A veterinarian records the weights of dogs treated at a clinic. The weights are normally distributed, with a mean of 52 pounds and a standard deviation of 15 pounds. Find the weights x corresponding to z-scores of -2.33, 3.10, and Interpret your results. 17.05, 98.5, and 60.7

6
**Try it yourself 4 116.93 feet Finding a Specific Data Value**

The braking distances of a sample of Nissan Altimas are normally distributed, with a mean of 129 feet and a standard deviation of feet. What is the longest braking distance one of these Nissan Altimas could have and still be in the bottom 1%? feet

7
**Try it yourself 5 8.512 years Finding a Specific Data Value**

The lengths of time employees have worked at a corporation are normally distributed, with a mean of 11.2 years and a standard deviation of 2.1 years. In a company cutback, the lowest 10% in seniority are laid off. What is the maximum length of time an employee could have worked and still be laid off? 8.512 years

Similar presentations

Presentation is loading. Please wait....

OK

0 - 0.

0 - 0.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on different types of computer softwares for art Ppt on power supply of computer Ppt on population census 2011 Ppt on online banking project in java Ppt on women rights in islam Ppt on networking topics Ppt on indian english literature Avian anatomy and physiology ppt on cells Ppt on places in our neighbourhood Ppt on db2 introduction to business