certified image consultant advertises that in her diet plan the mean weight loss for people on their plan is at least 20 pounds in 3 months. A sample of 40 people on this plan loses an average of 15 pounds with a standard deviation of 10 pounds. Does this result provide enough evidence for you to conclude that the claim is too high? Use α = .01. Assume weights are normally distributed.

certified image consultant advertises that in her diet plan the mean weight loss for people on their plan is at least 20 pounds in 3 months. A sample of 40 people on this plan loses an average of 15 pounds with a standard deviation of 10 pounds. Does this result provide enough evidence for you to conclude that the claim is too high? Use α = .01. Assume weights are normally distributed.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Question

A certified image consultant advertises that in her diet plan the mean weight loss for people
on their plan is at least 20 pounds in 3 months. A sample of 40 people on this plan loses an
average of 15 pounds with a standard deviation of 10 pounds.
Does this result provide enough evidence for you to conclude that the claim is too high? Use
α = .01. Assume weights are 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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