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minute maid states that a bottle of juice contains 473 ml. consumer groups are interested in determining if the bottles contain less than the amount stated on the label. to test their claim, they sample 30 bottles. the sample mean was 472ml and the standard deviation is 0.2. is minute maid putting less than 473 ml into the bottles? select the correct null and alternative hypothesis below.

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Jamarcus05

Answer:

The average juice a bottle contain is the mean value of the juice.

is the average content in all bottles of juice in the population, which is 472mL.

The given parameters are:

--- the sample size

--- the standard deviation

--- the sample mean

--- the population mean

The above highlights means that:

The parameter  represents the population mean

This means that:

is the average content in all bottles of juice in the population.

From the question, the value is given as: 473

Hence, the true statement is:

is the average content in all bottles of juice in the population, which is 473mL.

Step-by-step explanation:

A test statistic is a statistic that is used to test statistical hypotheses. The test statistic of the given hypothesis is; C: -5

What is the test statistic?

A test statistic is a statistic that is used to test statistical hypotheses. A test statistic is a numerical summary of a data set that lowers the data to a single number that can be used to perform the hypothesis test.

As it is given to us that the sample mean(x') is 472 ml, while the standard deviation(σ) is 0.2 ml.

Now, we want to know whether the minute maid put less than 473 ml into the bottles. therefore, let's first define the hypothesis;

Alternative Hypothesis; μ < 473

Null Hypothesis; H₀: μ ≥ 473

Further, the Formula for test statistics is given,

[tex]z = \dfrac{(x'-\mu)}{\sigma}\\\\z = \dfrac{(472- 473)}{0.20}\\\\z = -5[/tex]

Hence, the test statistic of the given hypothesis is; C: -5.

Learn more about Test Statistics:

https://brainly.com/question/15980493

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