## MS Mod 4 t values and confidence intervals practice exam questions

 Author Message NEAS Supreme Being Group: Administrators Posts: 4.2K, Visits: 1.2K MS Module 4 t values and confidence intervals practice exam questions(The attached PDF file has better formatting.)A statistician estimates the population mean for a normal distribution from a sample of 6 points. The 99% confidence interval for the population mean is (0, 1.78)Question 4.1: Critical t valueWhat is the critical t value for a 99% confidence interval from a sample of 6 points?Answer 4.1: 4.032 (table look-up)Question 4.2: Standard error of estimated meanWhat is the standard deviation of the sample / the square root of the number of observations?Answer 4.2: (1.78 – 0) / (2 × 4.032) = 0.2207(width of confidence interval = 2 × t value × σ/√N)Question 4.3: Standard deviation of sample What is the standard deviation of the sample?Answer 4.3: 0.2207 × 60.5 = 0.5406(width of confidence interval = 2 × t value × σ/√N)Question 4.4: Critical t valueWhat is the critical t value for a 95% confidence interval from a sample of 6 points?Answer 4.4: 2.5706 (table look-up)Question 4.5: Estimated meanWhat is the estimated mean of the population? Answer 4.5: (1.78 – 0) / 2 = 0.89(mean = mid-point of confidence interval) Question 4.6: Confidence intervalWhat is the 95% confidence interval for the population mean?Answer 4.6: The confidence interval is 0.89 ± 0.2207 × 2.5706:●    lower bound: 0.89 – 0.2207 × 2.5706 = 0.323●    upper bound: 0.89 + 0.2207 × 2.5706 = 1.457 Attachments MS Module 4 t valuesconfidence intervals practice exam questions.pdf (237 views, 43.00 KB) Edited 2 Years Ago by NEAS
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