Answered: Six measurements were made of the…

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

Six measurements were made of the concentration (in percent) of ash in a certain variety of
spinach. The sample mean was 19.35 and the sample standard deviation was 0.577. Assume
that the concentrations are normally distributed.
a) Find a 90% prediction interval for a single measurement.
b) Find a tolerance interval for the pH that includes 99% of the measurements with 95%
confidence.

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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