Window Help Erin SU2018 QM 214-GL Quantitax Final e Coezto.mheducation.com/hm.tp

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Window Help Erin SU2018 QM 214-GL Quantitax Final e Coezto.mheducation.com/hm.tpx 84% C+> Fri 12 47AM Enin ::: Apps um Login l BlazerlD ? Alpha Gam im https://uab.instruct-ahtig! connect QM214&QM215;: Summer 2018 IB U S I N ES S STATISTICS nal exam Question 11 (of 12) Save &Exit; Submit Time remaining: 12029 value: 10.00 points We use the t distribution to construct a confidence interval for the population mean when the underly population standard deviation is not known. Under the assumption that the population is normally distribut find to2 df for the following scenarios. Use Table 2. (Round your answers to 3 decimal places.) tai2,df a. A 90% confidence level and a sample of 20 observations. b. A 95% confidence level and a sample of 20 observations. C. A 90% confidence level and a sample of 10 observations. d. A 95% confidence level and a sample of 10 observations. Ch03 Q20 V01 Dat...xlsx

Explanation / Answer

solution:-
a. given df = n -1 = 20 -1 = 19
the confidence level is 0.90 then ? = 0.10
?/2 = 0.05 with df = 19
t?/2,df = 1.729

b. given df = n -1 = 20 - 1 = 19
the confidence level is 0.95 then ? = 0.05
?/2 = 0.025 with df = 19
t?/2,df = 2.093

c. given df = n -1 = 10 - 1 = 9
the confidence leve is 0.90 then ? = 0.10
?/2 = 0.05 with df = 9
t?/2,df = 1.833

d. given df = n - 1 = 10 - 1 = 9
the confidence level is 0.95 then ? = 0.05
?/2 = 0.025 with df = 9
t?/2,df = 2.262

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