The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident that the sample mean is within 2 inches of the true population mean, what is the minimum sample size that can be taken?
z0.10 z0.05 z0.025 z0.01 z0.005
1.282 1.645 1.960 2.326 2.576
Use the table above for the z-score, and be sure to round up to the nearest integer.

Answers

Answer 1

The minimum sample size needed to estimate the population mean with a specified margin of error can be calculated using the formula: n = (z * σ / E)^2, where z is the z-score, σ is the population standard deviation, and E is the margin of error. For a 95% confidence level and a margin of error of 2 inches, with a population standard deviation of 3.7 inches, the minimum sample size is approximately 2885.

To calculate the minimum sample size needed to estimate the population mean with a specified margin of error, we can use the formula:
n = (z * σ / E)^2
Where:
n = sample size
z = z-score corresponding to the desired confidence level
σ = population standard deviation
E = margin of error
In this case, the population standard deviation (σ) for the heights of dogs is given as 3.7 inches. We want to be 95% confident that the sample mean is within 2 inches of the true population mean.
The corresponding z-score for a 95% confidence level can be obtained from the provided table, which is 1.960.
Substituting the given values into the formula, we have:
n = (1.960 * 3.7 / 2)^2
Calculating this expression, we find:
n ≈ (7.252 * 7.4)^2
n ≈ 53.6776^2
n ≈ 2884.82
Rounding up to the nearest integer, the minimum sample size that can be taken is 2885.
Therefore, the correct answer is z0.025 = 1.960.

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Justin, as a manager with the ITA team, should seek approval from the appropriate stakeholders within his organization before implementing any modifications suggested by the client. The specific individuals or departments involved may vary depending on the organization's structure and processes. Generally, Justin should consult with his immediate supervisor, project manager, or other relevant decision-makers within his organization to obtain approval on the modified terms proposed by the client. It is important to follow the established protocols and hierarchy within the organization to ensure proper review and approval of any changes.

Calculate the geometric mean return for the following data set:
-5% 6% -7% 4.7% 5.1%
(Negative Value should be indicated by minus sign. Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

Answers

The geometric mean return for the given data set is approximately 0.85%.

To calculate the geometric mean return for the given data set, we need to follow these steps:

Convert the percentage returns into decimal form.

To do this, we divide each return by 100:

-5% becomes -0.05

6% becomes 0.06

-7% becomes -0.07

4.7% becomes 0.047

5.1% becomes 0.051

Add 1 to each decimal return to obtain the growth factor:

-0.05 + 1 = 0.95

0.06 + 1 = 1.06

-0.07 + 1 = 0.93

0.047 + 1 = 1.047

0.051 + 1 = 1.051

Multiply all the growth factors together:

0.95 × 1.06 × 0.93 × 1.047 × 1.051

= 1.04251741

Take the nth root of the product, where n is the number of returns in the data set. In this case, n = 5:

[tex]1.04251741^{(1/5)}[/tex] ≈ 1.008488

Subtract 1 from the result and multiply by 100 to obtain the geometric mean return as a percentage:

(1.008488 - 1) × 100 ≈ 0.8488

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How d you solve a match paired test

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Answer:

Try looking it up on Khan Academy.

Explanation:

They have very good explanations.

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