According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The...

According to the Carnegie unit system, the recommended number of hours students should study per unit is 2.  Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 13 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population.

0, 0.7, 2.8, 1.5, 0.3, 2.6, 3, 0.4, 0.7, 0, 1, 1.2, 0

What can be concluded at the αα = 0.10 level of significance?

1. For this study, we should use Select an answer z-test for a population proportion t-test for a population mean


2. The null and alternative hypotheses would be:

 H0:H0:  ? p μ  Select an answer > = ≠ 

 H1:H1:  ? p μ  Select an answer ≠ = < >

1. The test statistic ? z t  =  (please show your answer to 3 decimal places.)


2. The p-value =  (Please show your answer to 4 decimal places.)


3. The p-value is ? > ≤  αα


4. Based on this, we should Select an answer reject fail to reject accept  the null hypothesis.


5. Thus, the final conclusion is that ...
   
   
   

   
   
   • The data suggest the populaton mean issignificantly less than 2 at αα = 0.10, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is less than 2.
   
   
   • The data suggest the population mean is notsignificantly less than 2 at αα = 0.10, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is equal to 2.
   
   
   • The data suggest that the population mean study time per unit for statistics students is notsignificantly less than 2 at αα = 0.10, so there is insufficient evidence to conclude that the population mean study time per unit for statistics students is less than 2.
   
   

   
   
   
   


6. Interpret the p-value in the context of the study.
   
   
   

   
   
   • If the population mean study time per unit for statistics students is 2 and if you survey another 13 statistics students, then there would be a 0.52434% chance that the population mean study time per unit for statistics students would be less than 2.
   
   
   • If the population mean study time per unit for statistics students is 2 and if you survey another 13 statistics students, then there would be a 0.52434% chance that the sample mean for these 13 statistics students would be less than 1.09.
   
   
   •  There is a 0.52434% chance of a Type I error.
   
   
   • There is a 0.52434% chance that the population mean study time per unit for statistics students is less than 2.
   
   

   
   
   
   


7. Interpret the level of significance in the context of the study.
   
   
   

   
   
   • There is a 10% chance that the population mean study time per unit for statistics students is less than 2.
   
   
   • If the population mean study time per unit for statistics students is 2 and if you survey another 13 statistics students, then there would be a 10% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is less than 2.
   
   
   • If the population mean study time per unit for statistics students is less than 2 and if you survey another 13 statistics students, then there would be a 10% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is equal to 2.
   
   
   • There is a 10% chance that students just don't study at all so there is no point to this survey.