You wish to test the claim that μ = 49 at a level of significance of α = 0.05 and are given sample statistics n = 5, = 51, and s = 15. Compute the value of the standardized test statistic, t. Round your answers to three decimal places.
Solution :
This is the two tailed test .
The null and alternative hypothesis is ,
H0 : =45
Ha : 45
Test statistic = z
= ( - ) / s / n
= (51-49) / 15/ 5
Test statistic = 0.298
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