A random sample of 100100 observations from a population with standard deviation 6.922573930080226.92257393008022 yielded a sample mean of 91.291.2. (a)    Given that the null hypothesis is ?=90μ=90 and the alternative hypothesis is ?>90μ>90 using ?=.05α=.05, find the following: (i)    critical ?z score     (ii)    test statistic ==  (b)    Given that the null hypothesis is ?=90μ=90 and the alternative hypothesis is ?≠90μ≠90 using ?=.05α=.05, find the following: (i)    the positive critical ?z score

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A random sample of 100100 observations from a population with standard deviation 6.922573930080226.92257393008022 yielded a sample mean of 91.291.2.
(a)    Given that the null hypothesis is ?=90μ=90 and the alternative hypothesis is ?>90μ>90 using ?=.05α=.05, find the following:

(i)    critical ?z score    

(ii)    test statistic == 
(b)    Given that the null hypothesis is ?=90μ=90 and the alternative hypothesis is ?≠90μ≠90 using ?=.05α=.05, find the following:

(i)    the positive critical ?z score 

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