H0: p, μ, or σ | =, >, <, or ≠ ________________ H1:p, μ, or σ | =, >, <, or ≠ ________________ Identify the test statistic ______________ (Round to two decimal palces as needed.) Identify the P-value ____________________ (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addres the original claim. Reject or Fail to Reject the null hypothesis. There is or is not sufficient evidence at the 0.10 significance level to warrant rejecion of or reject the claim that cans of coke have a mean volume of 12.00 ounces. It does appear or does not appear that consumers are being cheated, because consumers are getting at least or more 12.00 ounces. The accompanying data set includes volumes (ounces) of a sample of cans of regular Coke. The summary statistics are:- Sample size (\( n \)) = 36- Sample mean (\( \bar{x} \)) = 12.202 oz- Sample standard deviation (\( s \)) = 0.102 ozAssume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that cans of Coke have a mean volume of 12.00 ounces. Does it appear that consumers are being cheated?Users can click an icon to view the data set of regular Coke can volumes.---**Identify the null and alternative hypotheses.**\( H_0 \): [Dropdown] [Dropdown]\( H_1 \): [Dropdown] [Dropdown](Type integers or decimals. Do not round.) **Data from Cans of Cola: Volume in Ounces**The following dataset represents the volume (VOL) in ounces of various samples from cans of Coke Regular.### COKE REG VOL- 12.34- 12.11- 12.20- 12.31- 12.19- 12.29- 11.98- 12.13- 12.22- 12.14- 12.26- 12.33- 11.95- 12.32- 12.09- 12.13- 12.02- 12.24- 12.22- 12.18- 12.14- 12.30- 12.27- 12.20- 12.34- 12.17- 12.13- 12.27- 12.14- 12.16- 12.12- 12.18- 12.11- 12.42- 12.24- 12.19- 12.16This list provides a detailed set of measurements indicating the actual volume of the liquid in each can sampled, which can be analyzed for quality control, statistical analysis, or studies in manufacturing consistency.

The sample size is 36, sample mean is 12.202 and sample standard deviation is 0.102.The hypothesis is, Null hypothesis: H0:μ=12 Alternative hypothesis: H1:μ≠12 The test statistic is, t=x¯-μsn=12.202-120.10236=0.2020.0107=11.88 Thus, the test statistic is 11.88. The degrees of freedom is, df=n-1=36-1=35 By using the EXCEL, the p-value is obtained below: Thus, the P-value is 0.000. Since the P-value is less than the significance level indicating that the null hypothesis is rejected. Reject the null hypothesis. There is sufficient evidence at the 0.10 significance level to warrant rejection of the claim that cans of coke have a mean volume of 12.00 ounces. It does not appear that consumers are being cheated, because consumers are getting more 12.00 ounces.

Answered: The accompanying data set includes…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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H0: p, μ, or σ | =, >, <, or ≠ ________________

H1:p, μ, or σ | =, >, <, or ≠ ________________

Identify the test statistic ______________ (Round to two decimal palces as needed.)

Identify the P-value ____________________ (Round to three decimal places as needed.)

State the conclusion about the null hypothesis, as well as the final conclusion that addres the original claim.

Reject or Fail to Reject the null hypothesis. There is or is not sufficient evidence at the 0.10 significance level to warrant rejecion of or reject the claim that cans of coke have a mean volume of 12.00 ounces. It does appear or does not appear that consumers are being cheated, because consumers are getting at least or more 12.00 ounces.

The accompanying data set includes volumes (ounces) of a sample of cans of regular Coke. The summary statistics are:

- Sample size (\( n \)) = 36
- Sample mean (\( \bar{x} \)) = 12.202 oz
- Sample standard deviation (\( s \)) = 0.102 oz

Assume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that cans of Coke have a mean volume of 12.00 ounces. Does it appear that consumers are being cheated?

Users can click an icon to view the data set of regular Coke can volumes.

---

**Identify the null and alternative hypotheses.**

\( H_0 \): [Dropdown] [Dropdown]
\( H_1 \): [Dropdown] [Dropdown]

(Type integers or decimals. Do not round.)

**Data from Cans of Cola: Volume in Ounces**

The following dataset represents the volume (VOL) in ounces of various samples from cans of Coke Regular.

### COKE REG VOL

- 12.34
- 12.11
- 12.20
- 12.31
- 12.19
- 12.29
- 11.98
- 12.13
- 12.22
- 12.14
- 12.26
- 12.33
- 11.95
- 12.32
- 12.09
- 12.13
- 12.02
- 12.24
- 12.22
- 12.18
- 12.14
- 12.30
- 12.27
- 12.20
- 12.34
- 12.17
- 12.13
- 12.27
- 12.14
- 12.16
- 12.12
- 12.18
- 12.11
- 12.42
- 12.24
- 12.19
- 12.16

This list provides a detailed set of measurements indicating the actual volume of the liquid in each can sampled, which can be analyzed for quality control, statistical analysis, or studies in manufacturing consistency.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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