Question

Quality Control: A battery company advertises that Its batterles last 245 hours. There have been several complaints that the batterles don't last that long, so an Independent analytics agency is hlred to test them. For the 37 hatteries they tested, the mean lifetime was 244 hours with a standard deviation of 1.3 hours. Conduct a hypothesis test to determine if the batteries last as long as the company claims. Use α-0.05 (a) A consumer advocate says that 244 hours Is less than the advertised 245 hours, so we should Immedlately reject the company's clalm without any further analysls. What Is the problem, If any, with thls argument? O The advocate didn't take Into account how the batterles were tested. O The advocate didn't take Into account when the batterles were tested O This difference could be nothing more than sampling error. O There Is nothing wrong with thls argument. (b) Name the approprlate statlstical test. O The Chi-Square Test of Independence O The -Test for a Single Population Mean O The t-Test for a Single Regression Slape O The z-Test for Single Population Proportion O The f-Test for the Overall Usefulness of a Regresslon Model 。The Chi-Square Goodness of Fit lest (c) State the hypotheses to be tested 0,0: μ 245 vs. Hai μ > 245 O Ho: μ ㄹ 244 vs. Ha: μ < 244 Ha: -245 vs. H-: 245 O Ho: μ-244 vs. H: μ # 244 Ha: μ s 244 vs. Ha: μ > 244 OHa: μ z 245 vs. H: μ < 245

Answer 1

A)
option C

B)
option B

C)
H0: mu >= 245
Ha: mu < 245

option F

D)
option D

E)
option A

F)
Test statistic,
t = (244 - 245)/(1.3/sqrt(37))
t = -4.6790

df = 36

p-value = 0.0000

g)

option A, -4.679

h)
option B, 0.0000

i)
option C

j)
type I error
option C