Test the claim that the mean GPA of night students is larger than 2.84 at the 0.5% significance level.

1. The null and alternative hypothesis would be:
   $\displaystyle {H}_{{0}}:\mu\le{2.84}$
   $\displaystyle {H}_{{1}}:\mu>{2.84}$
   

   $\displaystyle {H}_{{0}}:{p}\ge{0.71}$
   $\displaystyle {H}_{{1}}:{p}<{0.71}$
   

   $\displaystyle {H}_{{0}}:\mu={2.84}$
   $\displaystyle {H}_{{1}}:\mu≠{2.84}$
   

   $\displaystyle {H}_{{0}}:{p}={0.71}$
   $\displaystyle {H}_{{1}}:{p}≠{0.71}$
   

   $\displaystyle {H}_{{0}}:\mu\ge{2.84}$
   $\displaystyle {H}_{{1}}:\mu<{2.84}$
   

   $\displaystyle {H}_{{0}}:{p}\le{0.71}$
   $\displaystyle {H}_{{1}}:{p}>{0.71}$
   
   
   
2. The test is:
   two-tailed
   

   left-tailed
   

   right-tailed
   
   
   
3. Based on a sample of $\displaystyle {n}={35}$ people, with sample mean GPA of $\displaystyle \overline{{x}}={2.916}$ and a sample standard deviation of $\displaystyle {s}={0.103}$.
   

   2.72	2.77	2.79	2.8	2.8
   2.81	2.81	2.81	2.82	2.83
   2.83	2.85	2.85	2.88	2.88
   2.88	2.89	2.91	2.93	2.94
   2.94	2.95	2.96	2.97	2.98
   3.02	3.02	3.02	3.03	3.03
   3.04	3.05	3.07	3.07	3.1

   The p-value is: (to 4 decimals)
   
   
4. Based on this we:
   • Reject the null hypothesis
   • Fail to reject the null hypothesis
   
   
5. State your conclusion in plain language. Include a sketch of your p-value, or submit the sketch to your instructor or test proctor.
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