Question: Question no 5 QUESTION 5: 5. (a) Consider a sample of elements of a set which contains [1132 + 2} occurrences of the element 1,

Question no 5

QUESTION 5: 5. (a) Consider a sample of elements of a set which contains [1132 + 2} occurrences of the element 1, (1])? + 1} occhEnces of the element 2, [5 [ng occurrences of the element 3, [-1 IDg} occurrences of the element 4. and [4 1D?) occurrences of the element 5. Calculate the sample meanr the sample median. the sample mode, the sample variance, and the degrees of freedom of the variance {use 2 decimals and show your working - do not use calculators for anything other than basic multiplications and divisions} Use the East row of the table to fill in your eta-responding values (and add this table to the solution sheet): [10] (b) Knowing that a variable X has a normal distribution with mean 26 and a standard deviation ofi[5I'D2}1 calculate the probability ofX being less than an [use4decimals and show your working). [6! (c) Consrder the natural number I = l].1l-(ll]3'm= and a random sample set of 16 values for which we know that the mean 66 and the sample standard deviation is 121 Find a {IIII :J'iii confidence interval for this sample (use 2 decimals and show your working]. |4i For each question that has letters such as \"31 etc use the following: ID1=1 ID1=2 |Da=7 ID4=4 ID5=B ID5=B

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