Question

Please help me with this problem. I would like to see the work on how you got the answer.

Data on the rate at which a volatile liquid will spread across a surface are in the table. Complete parts a through c. Time (minutes) Mass (Pounds) 6.65 6.06 5.51 5.02 4.49 4.05 3.61 3.16 2.75 2.46 2.05 1.42 0.99 0.15 0.00 14 a. Find a 98% confidence interval for the mean mass of all spills with an elapsed tme of 3 minutes. Interpret ine esult. What is the confidence interval? (Round to three decimal places as needed.) Interpret the result. Choose the correct answer below. O A. We are 98% confident that the interval will not contain the mean mass ofthe splat 3 minutes 0 B. We are 88% confident that the interval will contain the mean mass of the spill before 3 minutes has passed. ° C. We are 98% confident that the interval will contain 3 minutes. 0 D. We are 98% confident that the interval will contain the mean mass of the spa after 3 minutes b. Find a 98% prediction interval for the mass of a single spill with an elapsed time of 3 minutes. Interpret the result. What is the prediction interval? (Round to three decimal places as needed.) Interpret the result. Choose the correct answer below. 0 A. 0 B. ° C. 0 D. We are 98% confident that the interval will contain the mass of the spill before 3 minutes has passed. We are 98% confident that the interval will contain the mass of the spill after 3 minutes. We are 98% confident that the interval will contain 3 minutes. We are 98% confident that the interval will not contain the mass of the spill after 3 minutes. c. Compare the intervals, parts a and b. Which interval is wider? Will this always be the case? Explain. Fill in the blanks below. The ▼ interval is wider. This Valways be the case because the error of this interval is

Answer 1

a. Find a !8% confidence interval for the mean mass of all spills with an elapsed time of 3 minutes. Interpret the result What is the confidence interval? nd to three decimal places as needed.) 1 Ans.: Time minutes) Mass Pounds 98% Confidence Interval for an elapsed time of 3 minutes Excel formula 6.65 6.06 5.51 5.02 4.49 4.05 3.61 3.16 2.75 2.46 2.05 1.42 0.99 0.15 0.00 -COUNT(C4:C18) -AVERAGE(B4 B18) -FORECAST(E7,CA C18,B4 B18) -STEYX(C4:C18,B4-B18) 15 13 18.00 6 Mean (xbar) = 4.95 10 12 14 16 Syx= 0.88 DEVSQ(B4:B18) -E10 SQRT(/E4H(E7-E6) 2/E12) =TINV(1-E 15,E5) ssx = 3830.00 12 13 14 15 16 17 18 19 20 25 30 45 s.Ε. = Confidence = t-crit- 0.31 0.98 2.65 Confidence Interval) ±tor x SE 1 (x-i Lower Limit of PI. = 4.124 -ES-E16 E14 Upper Limit of P1 5.781 -E8IE16 E14 21

b. Find a 98% prediction interval for the mass of a single spill with an elapsed time of 3 minutes. Interpret the result. What is the prediction interval? (Round to three decimal places as needed.) 22 Ans 23 .: 98% Prediction Interval for an elapsed time of 3 minutes: Predction Interval: yXS.E Excel formula 1 (x-x n SS COUNT(B4 B18) AVERAGEB4:B18) FORECAST(E28,CA C18,B4:B18) 25 na Mean(xbar)- 28 29 4.95 STEYX(C4:C18,B4 B18) DEVSQB4:B18) E31 SQRT(1+E25 (E28-E27 2/E33) 31 0.88 32 SSX = 3830.00 34 35 36 37 38 39 0.94 Confidence TINV(1-E37,E26) -E29-E39*E35! -E29+E39 E35 t-crit - 2.65 41 Lower Limit of CI. 2.471 Upper Limit of C.I 7434E29-59 E85 43 7.434