Question

1. A car company claims their electric vehicles can go 160 miles between charges. A consumer organization disputes and claims it is less. They take a sample of size 10: 142, 145, 148, 151, 153, 155, 158, 160, 162, 165.

1. Formulate the null and alternative hypothesis from the perspective of the consumer organization.
2. Test the hypothesis at a level of significance of 5%.

Answer 1

solutions Girer! (x-x ² al volt 141.61 79.2) 344.81 8.4). witzdota 2 X 142 145 148 151 153 055 158 160 162 165 1539 101 0.81 J.21 16.81 37.2) 65.61 123.2) Jotal 15 508.92 Jet Ex=1539 n=10 Exx-3)? = 5083 Sca X= {x/n - 1539/10 = 153.9 20 sulor with S: VE(x-xj? n-1 25 -V 5089 st g S: 7.5196

The huu and alternative hypothesis is the Hoil =160 H: 4160 Test Statistics 18 Ta een 10 221 821 To= X-u) a Fun) (S.ES (153.9-160) sal = PERL (7.5194/100) To= -2.57 20 x3 = x Critical values lesel -treini)= -t0.05,9) = -),833| from table The Critical value is F1-8331] esa Decisions Since To = -2:57 < -t10.05,9) = -1833) 25 i We reject Ho. 30