Critical Values from the t-table (Table D). (a) Accurate to the nearest 3 decima

Question

Critical Values from the t-table (Table D). (a) Accurate to the nearest 3 decimal places, what is the critical value (t or z*) that corresponds to the given confidence levels and degrees of freedom. Fill in the following table with the appropriate critical values (use the rule discussed in class when the exact df are not listed in Table D). Confidence level unknown (r) olf = 17 | df = 40 | df = 75 known (-) 50% 70% 90% (b) [Free Response.] For a given level of confidence C, how does compare to "? Note (c) (Free Response. For a given level of (d) [Free Response.] For a given df value, how does change as C increases? that this holds true for all degrees of freedom valnes as long as they are finite confidence C, how doeschange compared to z* as the df increase?

Explanation / Answer

please find values for given table:

b)

t* is always greater then z*value

c)

as df increases t approaches to z become closer and closer.

d)

s C increases ; t also increases.

confidence interval t z confidence interval df =17 df =40 df =75 50% 0.689 0.681 0.678 0.674 70% 1.069 1.050 1.044 1.036 90% 1.740 1.684 1.665 1.645 95% 2.110 2.021 1.992 1.960

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