Question

The average cost of a speeding ticket is S150. A random sample of 38 spooding ticket court cases showed that the mean cost was $152.59. At the 0.01 level of significance, is that greater than $150? The population standard deviation is $10.78. - 150 P-152.99 10498 State the hypothesis and identify the claim. H Is the test a right tail, left tail or two tailed test? At the 0.01 level of significance, the critical values c.v. Use the formula for z test to compute the test value. Show your work. ) Test value Should we reject or not reject the null hypothesis? Explain your answer. Write a sentence summarizing the results.

Answer 1

solution: Given ده le 150 p=38 X = 152.59 b) c) d) o = 10.78 e) The hypothesis and the claim Ho: 0=150 . Hi e iso حتمل) f) g) It is right. Tailed test At the dz0.01 critical & value = C.v. = Zdf = 20.01 = 2.326 bong - table Test statistic h) 2 X-do olr 152.59-150 10.78 1138 1.484 2-5 g 1.7487 Z = Test value = Z=1.4811 Here, we ve because do not reject the null hypothesis c. v. zo.o z ctest valuel # conclusion: At a zool. There is insufficient evidence to support the claim that cost 5 greater than $150 Hence. It is equal to $150 true mean