answer questions required TI-84 calculator

User Generated

cnzvyyn

Mathematics

Description

please download the file down below and answer the questions

no steps required

only the answers needed

I also added one file for more material

NOTE: these questions required TI-84 calculator

thank you

Unformatted Attachment Preview

ELEMENTARY STATISTICS 3E William Navidi and Barry Monk ©McGraw-Hill Education. All rights reserved. Authorized only for instructor use in the classroom. No reproduction or further distribution permitted without the prior written consent of McGraw-Hill Education. Applications of the Normal Distribution Section 7.2 ©McGraw-Hill Education. Objectives 1. Convert values from a normal distribution to 𝑧-scores 2. Find areas under a normal curve 3. Find the value from a normal distribution corresponding to a given proportion ©McGraw-Hill Education. Objective 1 Convert values from a normal distribution to 𝑧-scores ©McGraw-Hill Education. Standardization Recall that the 𝑧-score of a data value represents the number of standard deviations that data value is above or below the mean. If 𝑥 is a value from a normal distribution with mean 𝜇 and standard deviation 𝜎, we can convert 𝑥 to a 𝑧-score by using a method known as standardization. The 𝑥−𝜇 𝑧-score of 𝑥 is 𝑧 = . 𝜎 For example, consider a woman whose height is 𝑥 = 67 inches from a normal population with mean 𝜇 = 64 inches and 𝜎 = 3 inches. The 𝑧-score is: 𝑥 − 𝜇 67 − 64 𝑧= = =1 𝜎 3 ©McGraw-Hill Education. Objective 2 Find areas under a normal curve *(TI-84 PLUS) ©McGraw-Hill Education. Ex 1: Area Under a Normal Curve (TI-84) A study reported that the length of pregnancy from conception to birth is approximately normally distributed with mean 𝜇 = 272 days and standard deviation 𝜎 = 9 days. What proportion of pregnancies last longer than 280 days? Solution: We use the normalcdf command with 280 as the lower endpoint, 1E99 as the upper endpoint, 272 as the mean, and 9 as the standard deviation. We conclude that the proportion of pregnancies that last longer than 280 days is 0.1870. ©McGraw-Hill Education. Ex 2: Area Under a Normal Curve (TI-84) The length of a pregnancy from conception to birth is approximately normally distributed with mean 𝜇 = 272 days and standard deviation 𝜎 = 9 days. A pregnancy is considered full-term if it lasts between 252 days and 298 days. What proportion of pregnancies are full-term? Solution: We use the normalcdf command with 252 as the lower endpoint, 298 as the upper endpoint, 272 as the mean, and 9 as the standard deviation. The proportion of pregnancies that are full-term, between 252 days and 298 days, is 0.9849. ©McGraw-Hill Education. Objective 3* Find the value from a normal distribution corresponding to a given proportion *(TI-84 PLUS) ©McGraw-Hill Education. Example: Finding Normal Values (TI-84) Mensa is an organization whose membership is limited to people whose IQ is in the top 2% of the population. Assume that scores on an IQ test are normally distributed with mean 𝜇 = 100 and standard deviation 𝜎 = 15. What is the minimum score needed to qualify for membership in Mensa? Solution: The figure shows the value 𝑥 separating the upper 2% from the lower 98%. The area 0.02 is on the right, so we subtract from 1 and work with the area 0.98 on the left. Using the invNorm command with 0.98 as the area on the left, 100 as the mean, and 15 as the standard deviation, we find the minimum score to be 130.81. Since IQ scores are generally whole numbers, we round this to 𝑥 = 131. ©McGraw-Hill Education. You Should Know . . . • How to convert values from a normal distribution to 𝑧scores • How to find areas under a normal curve (Calculator) • How to find the value from a normal population corresponding to a given proportion (Calculator) ©McGraw-Hill Education.
Purchase answer to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

The document is attached.Please enter the answers and update me.

Question 1
0.45,...


Anonymous
Super useful! Studypool never disappoints.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags