Find the Value of the Standard Score, Z, and Determine $\mathrm { H } _ { \mathrm { a } } : \mu < 56 , \mathrm { n } = 37 , \overline { \mathrm { x } } = 54 , \sigma = 5.6$

question 55

Multiple Choice

Find the value of the standard score, z, and determine whether the alternative hypothesis is supported or not supported at a 0.05 significance level.
- $\mathrm { H } _ { \mathrm { a } } : \mu < 56 , \mathrm { n } = 37 , \overline { \mathrm { x } } = 54 , \sigma = 5.6$

• A) \(\mathrm { z } = - 2.17\); supported
• B) \(z = 2.17\); supported
• C) \(z = 5.14\); supported
• D) \(z = - 2.17\); not supported

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