Subhash K. answered • 04/28/14

Tutor

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(2)
Maths Problem Solver

Test: Population mean is known but not standard deviation ---> single-sample t test

Population Mean (µ )=5

No of sample (n)=10

Degree of fredom(df)=n-1=9

Sample Mean(X bar)=(4+5+4.5+6+7+4+4+3.5+4+9)/10=5.1

Sample standard deviation(s)= 1.744

Q(2)

H0:µ =5

H1:µ <5 (one tail test)

Q(3)

Calculated test value(t)=(5.1-5)/{(1.744/√10)}= 0.181

Q(4)

The P-Value is 0.430113. The result is not significant at p < 0.05.

Q(5) t_calculated>t_critical so we reject Null Hypothesis and accept alternative Hypothesis

Hence

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