Question

The mean voltage and standard deviation of 10 batteries from each manufacturer were measured. The results are summarized in the following table. Manufacturer Sample mean voltage (millivolts) Sample standard deviatio A 160 4 . В 158 2 What type of hypothesis test should be performed? Select What is the test statistic? Ex: 0.123 What is the number of degrees of freedom? Ex: 250 Does sufficient evidence exist to support the claim that the voltage of the batteries made by the two manufacturers is different at the a = 0.01 significance level? Select 2 Check Next

Answer 1

ANSWER:
The year voltage and standard deviation of # 10 bottenelepon Requested en formatoon & geven by - X9 = 160 X = 158 81-4 S252. nu 25.10 umpeered trteet as we have to obtained the which type of hypotheses test by wing > Hypothes de test is a ☆ Null hypothesis of Hoole, Fella] ? Alternative hypotheses i Hasly tells b) We obtained the test states the by using geven data is- > t-test du - Lai - X2 have to spr v tom t-test = tl ㅗ n2 Wherce), sp²= i-X spvt (ni-1) +92-1) is 2 [nith 2-2

ใน (10-13 cup + (10-1X2) 2 (10410-2) 9x:16+984 18 Myt 36. 18 180 T8 M $ 10 sp² = 10 sp = 110 ISP 3.1622 From equation , we get 160-158] 3.7622 (1 stto) S t-test (160-158 (3-1622X () 10 2 3.1622X (10.2 2. 31162240 .uy 2 1.41417 t-test lo 11.4142

There fore, t-test is 1.4142 c) we have to obtained the member of degree of free doy ex- → Degree of freedoy ex- df e no +22-2) = (10 +10-2) (20-2) s 18 df 18 Therefore, Degree of freedoy of [18] y p-value o p - valse = (-test, df] **1942,18] 0.0877 Therefore, p-value of 0.0877 D Decoidon we have to compared the p-value and d=0.01 08. y p-value > 0 g 0.0871 El 0.01 Pair to reeject nou hypotheses at & 20001 Therefore, Do not reeject to · There be a E le offerent evidence to pcepport the Claey that 850.010 -6F