1. Explain how each of the following changes as the number of degrees of freedom describing a t curve increases:
a. The standard deviation of the t curve.
b. The points ta and ta/2.
2. Discuss when it is appropriate to use the t-based confidence interval for m.
METHODS AND APPLICATIONS
3. Using Table A.4 (page 792), find t.100, t.025, and t.001 based on 11 degrees of freedom. Also, find these t points based on 6 degrees of freedom.
4. Suppose that for a sample of n = 11 measurements, we find that x = 72 and s = 5. Assuming normality, compute confidence intervals for the population mean m with the following levels of confidence:
a. 95% b. 99% c. 80% d. 90% e. 98% f. 99.8%
Text Book: Business Statics in Practice By BOWERMAN.