Mathematics, 22.04.2020 02:38 hsjsjsjdjjd

A research team conducted a critical study, and using the data they gathered in their random experiment, a 95% confidence interval for the population mean was constructed. The team was not happy with the result because they felt the margin of error was much too large. All other things being equal, if they were to repeat the study, what could they do to reduce the margin of error

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Increasing sample size (n), decreasing the standard deviation or decreasing the confidence level will reduce the margin of error.

Step-by-step explanation:

The (1 - α)% confidence interval for population mean μ is:

$CI=\bar x\pm CV\times \frac{SD}{\sqrt{n}}$

The margin of error for this interval is:

$MOE=CV\times \frac{SD}{\sqrt{n}}$

So, the factors affecting the margin of error are:

Confidence levelStandard deviationSample size

It is provided that the team was not happy with the result of the 95% confidence interval constructed, because they felt the margin of error was much too large.

To reduce the margin of error:

Increase the sample size.

Since the sample is inversely proportional to the margin of error, increasing the value of n will decrease the MOE.

Decrease the standard deviation.

The standard deviation is directly proportional to the margin of error. On decreasing the standard deviation value the MOE of the interval will also decrease.

Decrease the confidence level.

The critical value of the distribution is based on the confidence level. Higher the confidence level, higher will be critical value.

So, on deceasing the confidence level the critical value will decrease, hence decreasing the margin of error.

Answer from: Quest

after simplifying it i got: -36.25 as my answer. hope that !

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

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A research team conducted a critical study, and using the data they gathered in their random experim...