Question
In: Statistics and Probability
If, in a sample of n=25 selected from a normal population, X=52 and S=10, what is...
If, in a sample of n=25 selected from a normal population, X=52 and S=10, what is your statistical decision if the level of significance, a, is 0.05 the null hypothesis, H0, is μ=50, and the alternative hypothesis, H1, is μ≠50?
Solutions
Expert Solution
Null hypothesis
Alternative hypothesis
We have for given sample,
Population mean for given sample=50
Sample mean=52
Sample standard deviation= s=10
Sample size =n=25
Degree of freedom = n-1 =24
t test statistic formula is
=1
P value = 0.3273..................by using Excel command =TDIST(1,24,2)
P value > 0.05
Therefore, we fail to reject H0 at 
orchestra answered 1 year agoRelated Solutions
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