Suppose we wish to test $H _ { 0 } : \mu = 58 \text { vs. } H _ { \mathrm { a } } : \mu 58 \text {. }$ . What will result if we conclude that the mean is greater than 58 when its true value is really 63?
A) a correct decision
B) a Type II error
C) a Type I error
D) none of the above

Question

Suppose we wish to test $H _ { 0 } : \mu = 58 \text { vs. } H _ { \mathrm { a } } : \mu > 58 \text {. }$ . What will result if we conclude that the mean is greater than 58 when its true value is really 63?
A) a correct decision
B) a Type II error
C) a Type I error
D) none of the above

Quizplus · Accepted Answer

Concluding that the mean is greater than 58 when its true value is 63 is a correct decision because the true mean is indeed greater than 58.

Suppose We Wish to Test H0:μ=58 vs. Ha:μ>58. H _ { 0 } : \mu = 58 \text { vs. } H _ { \mathrm { a } } : \mu > 58 \text {. }H0​:μ=58 vs. Ha​:μ>58.

Suppose We Wish to Test $H _ { 0 } : \mu = 58 \text { vs. } H _ { \mathrm { a } } : \mu > 58 \text {. }$