Answered: 1. A seller claimed that her lip tint…

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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1. A seller claimed that her lip tint has a mean organic content of 90%. A rival seller
asked 60 users of that lip tint and found that it has a mean organic content of 85% with
a standard deviation of 5%. Test the claim at 1% level of significance and assume that
the population is approximately normally distributed.

2. A company produced ethyl alcohol and claimed to have a mean alcohol content of
70%. A random sample of 80 of ethyl alcohol bottles was taken as sample to verify
this claim. It was found out that the mean alcohol content is 65% with a standard
deviation of 2%. Test the claim at 5% level of significance and assume that the
population is normally distributed.

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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2. A company produced ethyl alcohol and claimed to have a mean alcohol content of 70%. A random sample of 80 of ethyl alcohol bottles was taken as sample to verify this claim. It was found out that the mean alcohol content is 65% with a standard deviation of 2%. Test the claim at 5% level of significance and assume that the population is normally distributed.

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