SAT College

Suppose that a variable
is normally distributed in a population and that the standard error of the mean of a sample of size = 155 is 1.35. Determine the population standard deviation,
. Give your answer precise to at least two decimal places.

Answers

Answer 1

The population standard deviation is approximately 16.78 when rounded to two decimal places.

To determine the population standard deviation (σ), we can use the formula relating the standard error of the mean (SE) and the sample size (n) to the population standard deviation:

σ = SE × √(n)

Given that the standard error of the mean (SE) is 1.35 and the sample size (n) is 155, we can substitute these values into the formula:

σ = 1.35 × √(155)

Calculating the square root of 155, we find:

σ = 1.35 × 12.4499

Multiplying 1.35 by 12.4499, we get:

σ ≈ 16.7823

It's important to note that the standard error of the mean (SE) is calculated as the standard deviation of the sample divided by the square root of the sample size:

SE = s / √(n)

The standard error of the mean (SE) is given as 1.35, so we directly used it in the formula to determine the population standard deviation.

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Related Questions

A
You work for Greene-Mann Landscaping Company. A client is looking to plant trees that can
provide summer shade and block winter wind. According to the document, what type of trees
should you recommend?
A. Evergreens
B. Tall deciduous trees with spreading crowns
C. Deciduous trees with lower crowns
D. Native tree species
E. Smaller shrubs

Answers

Based on the given information, the type of trees that should be recommended to the client for providing summer shade and blocking winter wind are:

B. Tall deciduous trees with spreading crowns

Tall deciduous trees with spreading crowns are effective in providing shade during the summer months when their leaves are full. Additionally, their spreading crowns can help block winter winds. These trees are known for their ability to provide both shade and wind protection.

ways of maintaining set square​

Answers

A set square or triangle is an object used in engineering and technical drawing, with the aim of providing a straight edge at a right angle or other particular planar angle to a baseline.

Ways of maintaining set square;

1. You have to handle your set square softly and with accuracy without exercising too much pressure on them, only the needed one to avoid movement.

2. Don’t use the T-square as a hammer - or an axe!

3. Don’t let the T-square fall on the floor.

Assume a recent sociological report states that university students drink 4.14 alcoholic drinks per week on average, with a standard deviation of 1.5301. Suppose Jason, a policy manager at a local university, decides to take a random sample of 150 university students to survey them about their drinking habits.
Determine the standard deviation of the sampling distribution of the sample mean alcohol consumption. Provide your answer with precision to two decimal places.

Answers

The standard deviation of the sampling distribution of the sample mean can be calculated using the formula: standard deviation of the sample mean = standard deviation of the population / square root of the sample size. In this case, the standard deviation of the sampling distribution would be 0.1258 (rounded to two decimal places).

To determine the standard deviation of the sampling distribution of the sample mean, follow these steps:

Note the population mean of alcohol consumption: 4.14 drinks per week.Note the population standard deviation: 1.5301.Determine the sample size: 150 university students.Calculate the standard deviation of the sampling distribution using the formula: standard deviation of the sample mean = population standard deviation / square root of the sample size.In this case, the calculation would be: 1.5301 / √150 = 0.1258 (rounded to two decimal places).The standard deviation of the sampling distribution of the sample mean alcohol consumption is 0.1258 (rounded to two decimal places).

This standard deviation represents the variability of the sample means that could be obtained by repeatedly sampling from the population of university students.

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2. In its first year, “DM Trading” had the following experience: Unit selling price birr 100 Sales 50,000 units Total fixed cost birr 400,000 TVC birr 3,000,000 Required: a) Develop TR, TC and profit functions for the company in terms of quantity b) Find the breakeven point in terms of quantity and sales volume.

Answers

a) TR = 100 * Quantity, TC = 3,400,000 birr, Profit = 3,400,000 birr.b) Breakeven point: Quantity where TR = TC. Sales volume is 3,400,000 birr.

a)  The total revenue (TR) function can be calculated by multiplying the unit selling price by the quantity sold.

In this case, TR = 100 * Q, where Q represents the quantity sold. The total cost (TC) function consists of the sum of fixed costs (FC) and total variable costs (TVC). Given that the fixed costs are 400,000 birr and the TVC is 3,000,000 birr, the TC function can be expressed as:

TC = FC + TVC = 400,000 + 3,000,000 = 3,400,000 birr.

The profit function (P) can be determined by subtracting the total cost from the total revenue, so P = TR - TC = 100Q - 3,400,000 birr.

b) The breakeven point can be found by setting the profit function equal to zero, as this is the point where total revenue equals total cost.

In this case, 100Q - 3,400,000 = 0. Solving for Q, we find Q = 3,400,000 / 100 = 34,000 units. Therefore, the breakeven point in terms of quantity is 34,000 units. To calculate the sales volume at the breakeven point, we can multiply the breakeven quantity by the unit selling price:

Sales Volume = 34,000 units * 100 birr/unit = 3,400,000 birr. Hence, the breakeven point in terms of sales volume is 3,400,000 birr.

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Tan drew the energy transfer diagram for an MP3 player below, but he forgot to include the __________ energy output. What word completes the sentence?

Answers

Answer: The light, heat, and sound. transfer away the useful energy from the MP3 player.

Explanation:

The missing word that completes the sentence is "sound" energy.

In an energy transfer diagram for an MP3 player, various forms of energy are typically depicted.

The input energy could include electrical energy from the battery or power source.

This electrical energy is then converted into different forms as it passes through various components of the MP3 player.

The electrical energy is transformed into sound energy when it reaches the speaker or headphone output.

The sound energy produced by the MP3 player allows us to hear the audio content, such as music or spoken words.

The energy transfer diagram would typically show arrows representing the flow of energy from the input (electrical energy) to different components and eventually to the output (sound energy).

The sound energy output is the final form of energy that is generated by the MP3 player.

The sound energy output in the energy transfer diagram, we acknowledge that the purpose of an MP3 player is to produce audible sound, allowing users to listen to their favorite songs or audio content.

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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.

Answers

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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