MS 150 Statistics Spring 2000 Quiz Eleven: Sect 9.4

Open book quiz!  Use the formulas, tables, and figures in your book.

The population mean TOEFL average on the Spring 2001 COMFSM entrance examination was  m = 437 for all schools in Micronesia. 

A sample of  n = 9 students at Bethania High School in Palau had a sample mean of   = 474 with a sample standard deviation of s = 69.  At a significance level alpha of a' = 0.075, is the Bethania High School average statistically significantly higher than the overall   average for all schools in Micronesia?   Note that n<30 and that our rate of a type one error is a' = 0.075, or 7.5%

1. What is Ho?  m = ______
   
   
2. What is H₁? m > ______
   
   
3. What is alpha?  a' = _______
   
   
4. Is this a one-tailed or a two-tailed test? ___________
   
   
5. How many degrees of freedom are there? ________
   
   
6. What is the t_c critical value for that alpha from Table 6 on page A8?
   
   t_c = __________
   
7. Calculate the t-statistic for the data.
   
   
   t-statistic = ____________
   
   
8. Make a sketch of the student's t-distribution curve including the critical value for t, the critical area, and the t-statistic.
   
   
   
   
   
   
9. Do we reject Ho or do we fail to reject Ho?
   
   
   

Lee Ling home
COM-FSM home page