Consider testing H 0 </msub> : &#x03B8;<!-- θ --> &#x2265;<!-- ≥ --> 3

Jace Wright

Jace Wright

Answered question

2022-05-09

Consider testing H 0 : θ 3   vs   H a : θ < 3 using a test in which the null hypothesis is rejected when the statistic T = min { X 1 , . . . , X n }, for example of size n has small values. Compute the p-value using the sample 3.11 , 3.3 , 3.46

Answer & Explanation

erlanpb8cj

erlanpb8cj

Beginner2022-05-10Added 14 answers

T - statistic = m i n ( x 1 , x 2 , x 3 ) = 3.11
μ = 3
Standard deviation = 0.11 2 + .3 2 + .46 2 2 = 0.396043
p value = s t a t i s t i c μ σ = 3.11 3 0.396043 = 0.277748 0.281

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