Question

A wel desned and sale the population ot healty males age 10-30. Dois the following data suggest that the population mean is o s gnifcance level lalpha of 0.10 workslsce can centribule greatly to inceased productwty. The accomparying Gata on maximun weighe of lits (MAWWL in kg) s randomly selected from qual to 25 g? The populaion sandard doviation is 5.45.u 25 23 2 21 24 22 23

Answer 1

We have given population standard deviation = 5.45

And we know that when population standard deviation is known then we use z test.

Hence we use b) Z one population

From the given data we get-

sample mean x bar = 23.57 , n= 7

Given μέ25 ; xbar = 23.57 ; σ= 5.45; n=7 ; Hypothesis H0 : μ: 25 α= 0.10 VS H1 : μ # 25 Test statistics: x bar-μ 23.57- 25 5.45 Hence Test Statistic: Z -0.69 By using Z table we get Pva Decision rule 0.4880 if P values α Then Reject Ho. if P value> α Then Fail to Reject Ho.

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