A consumer group, concerned about the mean fat content of a certain grade of ground beef, submits a random sample 12 packets of ground beef for analysis, to an independent laboratory. The percentage of fat from each packet is as followsSamplePercentage of Fat121218319416518624722819924101411181215 The manufacturer claims that the mean fat content for this grade of ground beef is less than 20%. Assuming that the percentage fat content is normally distributed with a standard deviation of 3, conduct the appropriate hypothesis test and advise the consumer group about the validity of the manufacturer’s claim.

Name: A consumer group, concerned about the mean fat content of a certain gr
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Description: A consumer group, concerned about the mean fat content of a certain grade of ground beef, submits a random sample 12 packets of ground beef for analysis, to an independent laboratory. The percentage of fat from each packet is as followsSamplePercenta

Given Information: Sample Percentage of Fat 1 21 2 18 3 19 4 16 5…

Answered: A consumer group, concerned about 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 3CYU

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A consumer group, concerned about the mean fat content of a certain grade of ground beef, submits a random sample 12 packets of ground beef for analysis, to an independent laboratory. The percentage of fat from each packet is as follows

Sample	Percentage of Fat
1	21
2	18
3	19
4	16
5	18
6	24
7	22
8	19
9	24
10	14
11	18
12	15

The manufacturer claims that the mean fat content for this grade of ground beef is less than 20%. Assuming that the percentage fat content is normally distributed with a standard deviation of 3, conduct the appropriate hypothesis test and advise the consumer group about the validity of the manufacturer’s claim.

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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