95% confidence interval for rate can be expressed as : Rate +/- 1.96 Rate/sqrt(n) where n is the number of events and sqrt means square root. Hope this helps. Omar.
All things being equal, a wider confidence interval (CI) implies a higher confidence. The higher confidence you want, the wider the CI gets. The lower confidence you want, the narrower the CI gets The point estimate will be the same, just the margin of error value changes based on the confidence you want. The formula for the CI is your point estimate +/- E or margin of error. The "E" formula contains a value for the confidence and the higher the confidence, the larger the value hence the wider the spread. In talking about the width of the CI, it is not correct to say more or less precise. You would state something like I am 95% confident that the CI contains the true value of the mean.
Did you mean, "How do you calculate the 99.9 % confidence interval to a parameter using the mean and the standard deviation?" ? The parameter is the population mean μ. Let xbar and s denote the sample mean and the sample standard deviation. The formula for a 99.9% confidence limit for μ is xbar - 3.08 s / √n and xbar + 3.08 s / √n where xbar is the sample mean, n the sample size and s the sample standard deviation. 3.08 comes from a Normal probability table.
v=number of vehicles/ interval of time
distance equals initial velocity times change in time interval plus half of accerlation plus time interval squared
D = distance R = rate T = Time Therefore, the formula is D = R * T D= velocity x time interval
The confidence interval for this problem can be calculated using the following formula: Confidence Interval = p ± z*√(p*(1-p)/n) Where: p = observed proportion (54%) n = sample size (80) z = z-score (1.96) Confidence Interval = 0.54 ± 1.96*√(0.54*(1-0.54)/80) Confidence Interval = 0.54 ± 0.07 Therefore, the confidence interval is 0.47 - 0.61, meaning that we can be 95% confident that the percentage of voters who prefer the referred candidate is between 47% and 61%.
Point Estimate of the Mean: The point estimate of the mean is 16, since this is the sample mean. 95% Confidence Interval Estimate for the Mean: The 95% confidence interval estimate for the mean can be calculated using the following formula: Mean +/- Margin of Error = (16 +/- 1.96*(9/sqrt(50))) = 16 +/- 1.51 = 14.49 to 17.51 99% Confidence Interval Estimate for the Mean: The 99% confidence interval estimate for the mean can be calculated using the following formula: Mean +/- Margin of Error = (16 +/- 2.58*(9/sqrt(50))) = 16 +/- 2.13 = 13.87 to 18.13
All things being equal, a wider confidence interval (CI) implies a higher confidence. The higher confidence you want, the wider the CI gets. The lower confidence you want, the narrower the CI gets The point estimate will be the same, just the margin of error value changes based on the confidence you want. The formula for the CI is your point estimate +/- E or margin of error. The "E" formula contains a value for the confidence and the higher the confidence, the larger the value hence the wider the spread. In talking about the width of the CI, it is not correct to say more or less precise. You would state something like I am 95% confident that the CI contains the true value of the mean.
The formula for margin of error is (Z*)*(Standard Deviation))/(sqrt(N)), so as N increases, the margin of error decreases. Here N went from 100 to 5000, so N has increased by 4900. This means the margin of error decreases. Since the confidence interval is the mean plus or minus the margin of error, a smaller margin of error means that the confidence interval is narrower.
Did you mean, "How do you calculate the 99.9 % confidence interval to a parameter using the mean and the standard deviation?" ? The parameter is the population mean μ. Let xbar and s denote the sample mean and the sample standard deviation. The formula for a 99.9% confidence limit for μ is xbar - 3.08 s / √n and xbar + 3.08 s / √n where xbar is the sample mean, n the sample size and s the sample standard deviation. 3.08 comes from a Normal probability table.
Acceleration = (speed at the end of some time interval minus speed at the beginning of the interval)/(length of the time interval)
The Formula should be : = Liabilities / Adjusted Networth ( Adjusted Networth : Shareholder's equity minus revaluation reserve ( intangible in nature)) Save
A relative reference.
Interval means the gap between each car on the track, measured in seconds, or laps.
v=number of vehicles/ interval of time
10 divided by (no of cm per a km ) metre
distance equals initial velocity times change in time interval plus half of accerlation plus time interval squared