13) Describe what a data set would look like if I told you that its standard dev
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13) Describe what a data set would look like if I told you that its standard deviation is 0 14) A brochure at a large university reports that 80% of its students rate their satisfaction in their major as "very good or excellent". A student group thinks that this is an overestimate so they randomly sample 200 students and find that 152 say that they rate their satisfaction in their major as "very good or excellent". Use a hypothesis test (include all of the parts) to test this claim. Ho : p = 0.30 H, : pExplanation / Answer
Q13)
Standard deviation can only be zero if all the data points in your set are equal. If all data points are equal, there is no deviation. example in class of standard 10 every student get thier marks 80 then there is no deviation among the each student.
Q14)
n =200
x =152
p = x/n
p.mu=0.80
SE = sqrt(p*(1-p)/n)
z = (p-p.mu)/SE =-1.324532
z.alpha = qnorm(0.025,lower.tail = TRUE) = -1.959964
|z|<|z.alph|
we accept H_0
p.value = pnorm(z,lower.tail = TRUE) = 0.09266315
p.value > alpha
we accept H_0
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