MTS394: Introduction to Research in Methodology Management Technology
Inclass practice Hypothesis solution
1.
𝛼 = 𝑃(𝑥̅ > 185 𝑤ℎ𝑒𝑛 𝜇 = 175) = 𝑃 (
( 𝑥̅ − 175)
( 185 − 175)
>
)
20
20
√10
√10
= P(Z >1.58) = 0.057
𝛽 = 𝑃(
( 𝑥̅ −185)
20
√10
<
= P(Z < 0)= 0.5
2.
( 185−185)
20
√10
)