Questions 10-14 use the same information below. A random sample { x 1, x 2 , ..., x 16 } is selected from a normal distribution with mean μ and standard deviation σ = 3. Let x¯ be the sample mean. The...

Questions 10-14 use the same information below.

A random sample {x
_1,
x
₂, ...,x
₁₆} is selected from a normal distribution with mean μ and standard deviation σ = 3. Let x¯ be the sample mean. The hypothesis H₀:μ≤10 is tested against H₁:μ>10.

Question 12. If the sample mean is observed as  x¯=11.5 ,  thep-value is closest to

Group of answer choices

0.01

0.1021

0.05

0.0228

0.1575