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 a manager with the ITA team was suggested a few changes in the GTB by one of his clients. Whose approval should justin take on the modified terms
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.)
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
Answer:
Try looking it up on Khan Academy.
Explanation:
They have very good explanations.