Question

Question 4 of 5 (1 point) | Question Attempt: 1 of Unlimited A leasing firm claims that the mean number of miles driven annually, H, in its leased cars is less than 12820 miles. A random sample of 27 cars leased from this firm had a mean of 12765 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 1040 miles. Assume that the population is normally distributed. Is there support for the firm's claim at the 0.1 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. H:0 The null hypothesis: o H р X 5 ca The alternative hypothesis: =0 OSO OD The type of test statistic (Choose one) The value of the test statistics (Round to at least three decimal places) 0 X 5 ? The critical value at the 0.1 level of significance (Round to at least three decimal places.) 0 Can we support the leasing sim that the mean number of miles driven annually less than 12820 miles O res NO

Answer 1

Given X Claim u 12765 1040 12820 0.1 a. 1 27 Test hypothesis are Ho: 12820 Ho: u 12820 Critical value Za 2 -1.28 NORM.S.INV(a) (Uisng excel) Rejection region reject H, if z< -1.28 Test statistic z= x-u o/ vn -0.2747965 -0.27 p-value =P(z<20) 0.3936 NORMSDIST(z) (Uisng excel) Since test statistic not less than -1.28 hence fail to reject the null hypothesis

Answers are Null hypothesis, Ho: u=12820 or Ho: u> 12820 Alternate hypothesis, Hj: u<12820 Type of the test are : 1 sample z test Test statistic z=-0.27 Critical value z = -1.28 No