1. Shinwa Company claims that the life of their battery product is approximately normally distributed with a mean length of 8hours of battery life when used in DC motors, with the standard deviation of 3.8 hours. What is the probability that a sample of 10 batteries will have a mean lifespan of less than 6 hours in DC motors? 2. Fifty applicants took an IQ test and their mean score was 100 with a standard deviation of 20. Assuming that the management decided not to hire the lowest 20% of the applicants, what was the minimum score to get hired?

1. Shinwa Company claims that the life of their battery product is approximately normally distributed with a mean length of 8hours of battery life when used in DC motors, with the standard deviation of 3.8 hours. What is the probability that a sample of 10 batteries will have a mean lifespan of less than 6 hours in DC motors? 2. Fifty applicants took an IQ test and their mean score was 100 with a standard deviation of 20. Assuming that the management decided not to hire the lowest 20% of the applicants, what was the minimum score to get hired?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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