a certain type of automobile tire (in thousands of miles) is normally distributed with mean41 and standard deviation4 Use the TI-84 Plus calculator to answer the following. (a) Find the 26 percentile of the tire lifetimes. (b) Find 63 percentile of the tire lifetimes. (c) Find the third quartile of the tire lifetimes. (d) The tire company wants to guarantee that its tires will last at least a certain number of miles. What number of miles (in thousands) should the company guarantee so that only 5%of the tires violate the guarantee

a certain type of automobile tire (in thousands of miles) is normally distributed with mean41 and standard deviation4 Use the TI-84 Plus calculator to answer the following. (a) Find the 26 percentile of the tire lifetimes. (b) Find 63 percentile of the tire lifetimes. (c) Find the third quartile of the tire lifetimes. (d) The tire company wants to guarantee that its tires will last at least a certain number of miles. What number of miles (in thousands) should the company guarantee so that only 5%of the tires violate the guarantee

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

Tire lifetimes: The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean41 and standard deviation4 Use the TI-84 Plus calculator to answer the following.

(a) Find the 26 percentile of the tire lifetimes.

(b) Find 63 percentile of the tire lifetimes.

(d) The tire company wants to guarantee that its tires will last at least a certain number of miles. What number of miles (in thousands) should the company guarantee so that only 5%of the tires violate the guarantee

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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