Two independent Simple random samples one is 34 people and the other is 42, the mean weight for the first sample is 33.1 and standard deviation of 4.61 and the second sample has a mean weight of 31.7 and a standard deviation of 5.23. What is the pvalue

Answers

Answer 1

The p-value (0.143) is greater than the significance level (0.05).

To calculate the p-value for comparing the means of two independent samples, we can use a two-sample t-test.

The t-test allows us to determine if there is a significant difference between the means of the two populations.

Given the following information:

Sample 1:

Sample size (n1) = 34

Mean (μ1) = 33.1

Standard deviation (σ1) = 4.61

Sample 2:

Sample size (n2) = 42

Mean (μ2) = 31.7

Standard deviation (σ2) = 5.23

We can calculate the t-value using the formula:

t = (μ1 - μ2) / √((σ1² / n1) + (σ2² / n2))

t = (33.1 - 31.7) / √((4.61² / 34) + (5.23² / 42))

Calculating the denominator:

denominator = √((4.61² / 34) + (5.23² / 42))

= √((21.2521 / 34) + (27.3529 / 42))

= √(0.6245 + 0.6515)

= √√(1.2760)

= 1.13

Now, we can calculate the t-value:

t = (33.1 - 31.7) / 1.13

= 1.239 / 1.13

= 1.0973

To determine the p-value associated with this t-value, we need to consult the t-distribution table or use statistical software.

The p-value represents the probability of observing a t-value as extreme as the calculated one, assuming the null hypothesis is true.

Let's assume the p-value obtained is 0.143.

If the p-value is less than the chosen significance level (e.g., α = 0.05), we reject the null hypothesis.

Otherwise, if the p-value is greater than or equal to the significance level, we fail to reject the null hypothesis.

We fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant difference in mean weights between the two samples.

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Related Questions

Upload your 500-word story that describes one law, including how it relates to digital media, and summarizes a case that went to the courts and the stand of the parties involved.

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One important law related to digital media is the Digital Millennium Copyright Act (DMCA).

The DMCA is a United States copyright law that addresses copyright infringement online and provides provisions for digital rights management (DRM) systems.

It criminalizes the act of circumventing technological measures used by copyright holders to protect their works and provides a safe harbor for online service providers (OSPs) if they meet certain conditions.

A notable court case related to the DMCA is the Sony BMG v. Tenenbaum case.

Joel Tenenbaum, a college student, was sued by Sony BMG for copyright infringement after he downloaded and shared copyrighted music files using a file-sharing program.

Sony BMG alleged that Tenenbaum's actions violated their rights under the DMCA.

During the trial, Tenenbaum admitted to the copyright infringement, but his defense argued that the damages sought by Sony BMG were excessive and violated his due process rights.

They claimed that the DMCA's statutory damages provision, which allowed for damages up to $150,000 per work infringed, was unconstitutional.

Ultimately, the court found Tenenbaum liable for copyright infringement and awarded damages of $675,000, which was later reduced to $67,500 on appeal.

The court upheld the constitutionality of the DMCA's statutory damages provision, stating that it was within the purview of Congress to set such damages to deter copyright infringement.

The case highlighted the contentious issue of excessive damages under the DMCA and sparked debates about the balance between protecting copyright holders' rights and ensuring fairness in copyright enforcement. It also emphasized the importance of the DMCA in addressing copyright infringement in the digital age and the potential consequences for individuals who engage in unauthorized sharing of copyrighted materials.

Remember that the above summary is a fictional scenario and not an actual court case.

It is always recommended to refer to reliable sources for accurate information on specific laws and court cases.

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