A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During yourtests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 53.2 milligrams. Assume the population is normallydistributed and the population standard deviation is 7.6 milligrams.. At a=D0.01, can you reject the company's claim? Complete parts (a) through (e).ura(a) Identify Ho and H, Choose the correct answer below.iSOA Ho: µ5 55OB. Ho p 53.2Ha = 53.2SerieHa p> 55Ho. H+55Hg µ = 55Op. Ho us53.2Hạ. µ> 53.2alOE Ho p-53.2Ha p+53.2Ho H=55Ha p 55Insurar出(b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice.(Round to two decimal places as needed.)O A. The critical values are +CopyPagerO B. The critical value isPDEXMichaeDVIDSTIN...Radio-liPDFPDClick to select and enter your answer(s) and then click Check Answer.IRP.pdf202Inciden4 partsremainingClear AllCheck AnswerTheRiley LAMADavenpor..

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Description: A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During yourtests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your
tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 53.2 milligrams. Assume the population is normally
distributed and the population standard deviation is 7.6 milligrams.. At a=D0.01, can you reject the company's claim? Complete parts (a) through (e).
ura
(a) Identify Ho and H, Choose the correct answer below.
iSOA Ho: µ5 55
OB. Ho p 53.2
Ha = 53.2
Serie
Ha p> 55
Ho. H+55
Hg µ = 55
Op. Ho us53.2
Hạ. µ> 53.2
al
OE Ho p-53.2
Ha p+53.2
Ho H=55
Ha p 55
Insurar
出
(b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice.
(Round to two decimal places as needed.)
O A. The critical values are +
Copy
Pager
O B. The critical value is
PD
EX
Michae
DVID
STIN...
Radio-li
PDF
PD
Click to select and enter your answer(s) and then click Check Answer.
IRP.pdf
202
Inciden
4 parts
remaining
Clear All
Check Answer
The
Riley LAMA
Davenpor..

Expert Solution

Step 1

Given Information:

Hypothesized mean $μ_{0} = 55$ milligrams.

Sample size (n) = 30

Sample mean ( $\bar{x}$ ) = 53.2 milligrams.

Population standard deviation ( $σ$ ) = 7.6 milligrams

Significance level $α = 0.01$

State the hypothesis as follows:

Null Hypothesis $H_{0} : μ = 55$ i.e., mean caffeine content per 12-ounce bottle of cola is 55 milligrams.

Alternative Hypothesis $H_{1} : μ \neq 55$ i.e., mean caffeine content per 12-ounce bottle of cola is not 55 milligrams.

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