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Name: Butter is sold in packs marked as salted or unsalted and the masses of
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Description: Butter is sold in packs marked as salted or unsalted and the masses of the packs of both types of butter are known to be normally distributed. The mean mass of the salted packs of butter is 225.38 grams and the standard deviation for both packs is 8.

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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Butter is sold in packs marked as salted or unsalted and the masses of the packs of both types of butter are known to be normally distributed. The mean mass of the salted packs of butter is 225.38 grams and the standard deviation for both packs is 8.45 grams.

A sample of 12 of the unsalted packs of butter had masses ,measured to the nearest gram , as follows, 219,226,217,224,223,216,221228,215,229,225,229

(a) find a 95%confidence interval for the mean mass of unsalted packs of butter.

(b) using the given data for salted packs, that is the mean and standard deviation, calculate limits between which 90% of the masses of salted packs of butter will lie.

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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