Question

Construct a 98% confidence interval to estimate the population mean with x 62 and o 12 for the following sample sizes. a) n 33 b)n 49 c) n 67 Click the icon to view the cumulative probabilities for the standard normal distribution a) With 98% confidence, when n 33, the population mean is between the lower limit of and the upper limit of (Round to two decimal places as needed.)

Answer 1

Solution Giver 6 2 6 1 2 a) n 33 A t 987 Confidonce levol 1 987. o.0 2 1-O.98- O.O2 O.a 2. 2. 2.326 Z</2 = Zo.o of GrTO Magin 2. 3 26 x 12 4. 86 A 9& Canfidence fntersvol estimae Popu la too x - E L E 62. 4.86 <4 62+ 4. 86 'S of Moon the 57.14<u 66. 8 98% confidenco with 7 betooen h০ papu lat'o af Sean s 57.14ond uppes limi+ of limit 66.86

6) Z<12 2. 326 D 49 Mosgin of EoT 12 X6 2.326 X12 49 E = 3.99 92 Confidence intenvol es tima 10 of tho populo too meon 6 2 3.99 u 62 t 3.99 58.o 65.99 66.99 58.a 2. 32 Z(2 Z12 X6 Margin af = 2.3 26 X 12 67 E 3.I es timoto At 98 A Confiden ce of the papulotion meon - E <uX +E 62-3.41 62 t3.4 58.59<4 < 65.4 58.59,66.41