MS 150 Statistics Spring 2000 Quiz Ten: Sect 9.2

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

The population mean grade point average for all the students at the national campus in the Fall of 2000 was  m = 2.173. 

A sample of  n = 1133 grades attained by Pohnpeian females had a grade point average of xbar.gif (842 bytes)  = 2.289 with a sample standard deviation of sx = 1.311.  At a significance level alpha of a = 0.05, is the Pohnpei female average statistically significantly higher than the overall national campus average?

  1. What is Ho?  m = ______


  2. What is H1? xbar.gif (842 bytes) < ______


  3. What is alpha?  a' = _______


  4. Is this a one-tailed or a two-tailed test? ___________


  5. What is the zc critical value for that alpha from Table 6 on page A8?

    zc = __________
  6. Calculate the z-statistic for the data?
    xbartoz.gif (1022 bytes)

    z-statistic = ____________

  7. Make a sketch of the normal curve including the critical value for z, the critical area, and the z-statistic.





  8. Do we reject Ho or do we fail to reject Ho?


Fall 2000 National Campus Grade Point Average Statistics

Overall

Count n of grades Mean Grade Point Avg xbar.gif (842 bytes) Standard Deviation sx
3512 2.173 1.363

By State

State Count n of grades Mean Grade Point Avg xbar.gif (842 bytes)

Standard Deviation sx
Chuuk 744 1.906 1.392
Kosrae 326 2.371 1.248
Pohnpei 2138 2.238 1.351
Yap 304 2.158 1.401

By State and Gender

State Sex Count n of grades Mean Grade Point Avg xbar.gif (842 bytes) Standard Deviation sx
C F 449 1.993 1.364
C M 295 1.773 1.426
K F 143 2.427 1.259
K M 183 2.328 1.241
P F 1133 2.289 1.311
P M 1005 2.179 1.394
Y F 113 2.230 1.488
Y M 191 2.115 1.348

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