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A sample of 19 items provides a sample standard deviation of 5.4.

A sample of 19 items provides a sample standard deviation of 5.4. Test the following hypotheses using α = 0.05. What is your conclusion? Use both the p-value approach and the critical value approach.


H₀: σ² ≤ 65 

Hα: σ²>65


Test statistic = _______ (to 2 decimals) 

p-value low from table = _______  (to 3 decimals). Use Table 11.1. 

p-value high from table = _______ (to 3 decimals). Use Table 11.1. 

X0.052 = _______ 

Reject H0 if χ2 ≥ _______ . (to 3 decimals)

math   Statistics-And-Probability   
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Answer #1

p value low from table =0.975

p value high from table =0.990

X20.05 =28.869

reject HO if X2 >=28.869

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