[Cryo-Hypo] Xiangling is a a great cook and chemical engineer that develops new food products for people's health. She created Gouba II protein powder that is believed to increase the muscle strength of users by at least 23 strength units (SU). The variance in the muscle strength increase is assumed to be representative for all product units and it is equal to 0.69 SU. A random sample of 20 people used Gouba Il and the resulting muscle strength increase is shown below: 24.13 22.77 23.10 23.53 23.39 23.85 24.41 24.48 22.63 24.43 24.19 23.44 22.39 22.81 23.13 21.56 23.15 24.05 24.19 24.12 Does Xiangling's claim about Gouba II have sufficient evidence to be true? A. Perform a hypothesis testing of an appropriate statistic using a significance level of 5%. B. Perform another hypothesis testing, this time using a significance level of 1%. C. Find a 95% confidence where the average increase in muscle strength of Gouba Il can be found. Show complete steps for hypothesis testing

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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[Cryo-Hypo] Xiangling is a a great cook and chemical engineer that develops
new food products for people's health. She created Gouba II protein powder
that is believed to increase the muscle strength of users by at least 23
strength units (SU). The variance in the muscle strength increase is assumed to
be representative for all product units and it is equal to 0.69 SU. A random
sample of 20 people used Gouba Il and the resulting muscle strength increase
is shown below:
24.13 22.77 23.10 23.53
23.39 23.85 24.41 24.48
22.63 24.43 24.19 23.44
22.39 22.81 23.13 21.56
23.15 24.05 24.19 24.12
Does Xiangling's claim about Gouba II have sufficient evidence to be true?
A. Perform a hypothesis testing of an appropriate statistic using a
significance level of 5%.
B. Perform another hypothesis testing, this time using a significance level of
1%.
C. Find a 95% confidence where the average increase in muscle strength of
Gouba II can be found.
Show complete steps for hypothesis testing
Transcribed Image Text:[Cryo-Hypo] Xiangling is a a great cook and chemical engineer that develops new food products for people's health. She created Gouba II protein powder that is believed to increase the muscle strength of users by at least 23 strength units (SU). The variance in the muscle strength increase is assumed to be representative for all product units and it is equal to 0.69 SU. A random sample of 20 people used Gouba Il and the resulting muscle strength increase is shown below: 24.13 22.77 23.10 23.53 23.39 23.85 24.41 24.48 22.63 24.43 24.19 23.44 22.39 22.81 23.13 21.56 23.15 24.05 24.19 24.12 Does Xiangling's claim about Gouba II have sufficient evidence to be true? A. Perform a hypothesis testing of an appropriate statistic using a significance level of 5%. B. Perform another hypothesis testing, this time using a significance level of 1%. C. Find a 95% confidence where the average increase in muscle strength of Gouba II can be found. Show complete steps for hypothesis testing
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