#### 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%

- What is Ho? m = ______

- What is H
_{1}? m > ______

- What is alpha? a' = _______

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

- How many degrees of freedom are there? ________

- What is the t
_{c} critical value for that alpha from Table 6 on page A8?

t_{c} = __________

- Calculate the t-statistic for the data.

t-statistic = ____________

- Make a sketch of the student's t-distribution curve including the critical value for t,
the critical area, and the t-statistic.

- Do we reject Ho or do we fail to reject Ho?

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