Asimple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34. which of the following values is outside of the 99% confidence interval for the population mean?

Step-by-step explanation:

hihi, so given a statistic, a sample standard deviation, and the sample size, we can create a 99% confidence interval for this distribution. Given the equations for confidence interval and Margin of Error, all we have to calculate initially is t* (invT(.995, 85-1)) and Standard error (34/sqrt(85)). Once we have these numbers, it's as easy as plugging in and doing some simple calculations to reaching our upper and lower fences of our interval. (136.28, 155.72). Any value below the lower fence or any value above the upper fence is not in our interval

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