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- ) Determine the mean (μ!" ) of sample means distribution (x#-distribution).b) Determine the standard deviation (standard error) (σ!" ) of sample means distribution(x#-distribution).c) Draw a Normal (bell-shaped) graph for sample means distribution (x#-distribution) byhand on a paper showing x and y axes without any values marked on them. However,label the values of mean and standard deviation as described below. The adult male heights in a country vary normally with mean of 70 inches and standarddeviation of 4 inches. We draw many samples of size 100 from the above populationusing repeated random sampling and record the mean height for each sample to constitutea sample means distribution (x#-distribution). Do the above for the distribution.Please prove itplease help with this
- Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)part iii (i already asked part i and part ii)Suppose an x distribution has mean μ = 2. Consider two corresponding x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81. (a) What is the value of the mean of each of the two x distributions? For n = 49, μ x = For n = 81, μ x = (b) For which x distribution is P( x > 2.5) smaller? Explain your answer. The distribution with n = 49 because the standard deviation will be smaller.The distribution with n = 81 because the standard deviation will be smaller. The distribution with n = 49 because the standard deviation will be larger.The distribution with n = 81 because the standard deviation will be larger. (c) For which x distribution is P(1.5 < x < 2.5) greater? Explain your answer. The distribution with n = 49 because the standard deviation will be larger.The distribution with n = 49 because the standard deviation will be smaller. The distribution with n = 81 because the standard deviation will be…
- I want to ask how do we know when we need to use the continuity correction like the second image and when will we use the normal distribution like the 1st image? Thank youjust please answer the sub-b1 find the first four moments of the binomial distribution 9. Ifx is a binomial variate with parameters 6 and 2 about origin.