MGM; ; : " if the sample size is 100, then the degrees of freedom is ll in blank ,' (Don't enter any additional spaces or digits). The variability of standard deviations depends on the number of free deviations in the sample standard deviations, n 1. This quantity is known as the meiil Each degree of freedom SUBMlT denes a uniquely associated T-distribution. Tdistributions have the following characteristics.' T-distnbutions are bell-shaped and symmetric with a mean of 0. Each T-distribution depends on the degrees of freedom, df. (d. [1 = 71 ~ 1). Tdistn'butions have heavier tails and narrower peaks than the standard normal distribution The total area under each Tedistribution curve is 1. ' As the degrees of freedom increase. the tails become thinner and the curve approaches the standard normal distribution. Standard Normal Curve What is the probability of observing a sample mean of 170 cm or higher? Round to four decimal places. fill in blank SUBMIT d. You find the average height and sample standard deviation for 10 randomly selected Claremont High School students. The sample standard deviation is 4 cm. Use the process in c. to compute the probability of observing an average height of 170 cm or more. P ( x 2170) = P(T = 3 16) T= 170-164 ~ 3.16 e+ X if we were building a 90% condence interval for a population mean, the area to the left of the critical value would be ll in blank e. (Don't input any additional spaces or the percent symbol in your answer). 4. Use deem to find the T critical value that separates the middle 95% from a random sample of size 8. Shmv your thinking by sketching a graph. Ml X E - C desmos.com/calculator -10 -5 0 5 10 = Untitled Graph desmos Log In or Sign Up 7 0 0.4 -5 tdist ( 7).inversecdf( 0.975)| X = 2.36462425159 0.3 + Use desmos to find the T critical value that separates the middle 99% from a random sample of size 21. Round your answer to four decimal places. Avoid entering any additional spaces or digits. fill in blank SUBMIT 7:56 8:05 hp