null hyp. H_0: mu=12 rejected for H_1: mu>12 w/ alpha=0.05 if z > ...?

Hi, I have problem with this exercise:

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The null hypotheses \(\displaystyle \, H_0\, :\, \mu\, =\, 12\, \) will be rejected in favour of the alternative hypothesis \(\displaystyle \, H_1\, :\, \mu\, >\, 12\, \) at the significant level \(\displaystyle \, \alpha\, =\, 0.05\, \) if the test statistic z is greater than:

\(\displaystyle \begin{array}{ll}A&1.2\\.&8\end{array}\)

\(\displaystyle \begin{array}{ll}B&1.9\\.&6\end{array}\)

\(\displaystyle \begin{array}{ll}C&1.6\\.&5\end{array}\)

\(\displaystyle \begin{array}{ll}D&12\\.& \end{array}\)

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I know that answer C is correct but I can't figure out why/how, please help, Thanks

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k1529176 said:

Hi, I have problem with this exercise:

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The null hypotheses \(\displaystyle \, H_0\, :\, \mu\, =\, 12\, \) will be rejected in favour of the alternative hypothesis \(\displaystyle \, H_1\, :\, \mu\, >\, 12\, \) at the significant level \(\displaystyle \, \alpha\, =\, 0.05\, \) if the test statistic z is greater than:

\(\displaystyle \begin{array}{ll}A&1.2\\.&8\end{array}\)

\(\displaystyle \begin{array}{ll}B&1.9\\.&6\end{array}\)

\(\displaystyle \begin{array}{ll}C&1.6\\.&5\end{array}\)

\(\displaystyle \begin{array}{ll}D&12\\.& \end{array}\)

---

I know that answer C is correct but I can't figure out why/how, please help, Thanks

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What are your thoughts? What have you done so far? Please show us your work even if you feel that it is wrong so we may try to help you. You might also read
http://www.freemathhelp.com/forum/threads/78006-Read-Before-Posting


Hint: http://www.itl.nist.gov/div898/handbook/eda/section3/eda3671.htm


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Hi, thank you for your respond but I think I got it, I used t-distribution table and normal distribution table and I substract: 2.179-0.51994=1.65906

I didnt post on purpose more than once, I am using Tapatalk app, and it didnt show that it posted, that is why I tried more than once.

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