MATH 1F92 Lecture Notes - Lecture 2: Sampling Distribution, Netflix, Standard Deviation

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Example 2: the marks for a first year stats midterm are recorded with an average of 68% and a standard deviation of 5% Stdev=5% (a) what is the probability that a randomly selected first years student achieved higher than. =(cid:1876) -u(cid:1876) /o(cid:1876) = = 75-68/1. 67= 7/1. 67=4. 19: (cid:1868)(cid:1868)(cid:1870)(cid:1867)(cid:1876) (cid:882) (cid:1871)(cid:1865)(cid:1868)(cid:1864)(cid:1871) (cid:1875)(cid:1864)(cid:1864) (cid:1874) (cid:1871)(cid:1865)(cid:1868)(cid:1864) (cid:1865)(cid:1866) (cid:1870) (cid:1872) (cid:1866) (cid:889)(cid:887) Whenever you have x is normally distributed be aware of what its asking for. Proportion of class with netflix (p= x/n) Suppose random sample of size n is obtained from a population in which each individual either does or does(cid:374)"t have a certai(cid:374) characteristic. The sa(cid:373)ple proportio(cid:374) de(cid:374)oted p-hat is given by: phat=x/n (hat means estimator) Where x is the number of indviduals in the sample with the specified characteristic. The sample proportion p-hat is a statistic that estimates the population proportion, p.

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