Question

Data on the weights (th) of the contents of cans of det soda ves the contents of Cans of the regte version of the soda is surmarired to the Arme that the two samples are independent simple random samplected from normally did population, and do not assume that the population standard deviations we equal. Complete parts (a) and ()ow Use a 001 skrificance level for both parts Regular 12 35 0.81423 0.0078 0.79718 0.004 5 a. Test the claim that the contents of cams of diet seda huve weights with a mean that is less than the meant for the regular soda What are the null and tomative hypotheses? OBH OA H2 HP OCH P2 OD HOW The best at the Round to two decimal places as needed) The Palue Round to three decimal places as needed) Click to select your answers) 941 PM 7/220 o V Type here to search g RI

Answer 1

solution: Given data o, 0.797 18 lbl x = 0.81429 16 35 = 0.0043 uab S = 000758 lb. Hoi My = lly Hi: M, ella als (0.00434) ² S.Eğ ) large C0.00 758) t 35 35 0.001476 test - Statistic + = (9) - (M.-H.) SE5-9) (0.29718-0.81429) -O 0.001476 t -11.59 P-value but d= 0.01 is 0.0000 p-value < 220.01 we reject Ho. to Conclusim: Reject Ho. There is cufficient evidence support the claim. 2 9.00u34) 6) + 0.00758 35 df- n 35 9.57 N 10 2,2 ..oouzy 0.00758 + 35 35-1 35-1 x=0.01 - 0/2 = 0.005 critical value 3.169266 toll,,da - to-00s, 10 Margin of Error E terit SE 3.1692 66 * 0.001476 E 0.004678

NOW ཤན་༡, ༩ན་ 1༽ (0. ཏེཞ 21 - 0,8། ༥ 2a) 0.oo༥628 - 0,0 ),O། ༢། ། ༈ 0，06༥༦༡༦) ( ༠༠2 །ཀེ 8, - 0.012༥2) ( - ༠༠༧ །, -9.012-༥༽