The following TI 84 Plus display presents a 95 confidence interval, using the more accurate formula for the degrees of freedom The sample sizes are n1 12 and n2 10 a Use the simpler method to compute the degrees of freedom as the smaller of n1 1 and n2 1 b Find the critical value t2 for a 95 confidence interval using this value for the degrees of freedom c Use this critical value along with the results on the TI 84 Plus display to construct the 95 confidence interval using this value for the degrees of freedom 2 SampTInt (40 739,83 861) df 16 46306189 X1 109 5 x2 47 2 Sx1 31 2 Sx2 15 1 n1 12 n2 10

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Question: The following TI-84 Plus display presents a 95% confidence interval, using the more accurate formula for the degrees of freedom. The sample sizes are n1

The following TI-84 Plus display presents a 95% confidence interval, using the more accurate formula for the degrees of freedom. The sample sizes are n1 = 12 and n2 = 10. 2-SampTInt (40.739,83.861) df 16.46306189 X1=109.5 x2=47.2 Sx1=31.2 Sx2=15.1 n1=12 n2=10

a. Use the simpler method to compute the degrees of freedom as the smaller of n1 − 1 and n2 − 1.

b. Find the critical value tα∕2 for a 95% confidence interval using this value for the degrees of freedom.

c. Use this critical value along with the results on the TI-84 Plus display to construct the 95% confidence interval using this value for the degrees of freedom.

2-SampTInt (40.739,83.861) df 16.46306189 X1=109.5 x2=47.2 Sx1=31.2 Sx2=15.1 n1=12 n2=10

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