Question

Instruction for Hypothesis Testing (Problems 17-25, Except 24) For One Population: Show your work for finding Test value, Critical value(s), or P-value. For Two Populations: Use your calculator to give the values of Test Value and P-value. O O O O Indicate your parameter Indicate the claim List the given information Then start your five steps. Pay attention to the method, such as Traditional or P- value Put the step numbers inside a box For step (1): Indicate Ho Indicate Hi Tell if Ho or Hy is the claim (put the word claim inside parentheses in front of the claim sentence) o Identify the type of test such as right-tail test, left-tail test, or two-tail test The name of the test is in the direction of H1 For step (2): Find Critical Value (CV) for Traditional method Find Test value for P-value method For step (3): Find Test value for Traditional method Find P-value for P-value method For step (4), decide to reject Ho or not reject Ho. Circle your result. For Traditional method, draw the bell curve. Separate critical region from non-critical region using CV and locate your test value on the graph For P-value method, compare your P-value with a. For step (5), write your summary according to the slide #5 of lesson 8.2. Other similar statements are not expectable! On this step: Underline is or is not, also underline reject or support. . O O . O O . o O o

Answer 1

1) indicate parameter

parameter of interest here is population mean for both the cabs , if they differ or not

2) claim - average miles travelled by two cabs differ

3)given information

Moonview Cab Company X = 837 Starlight Cab Company X, = 753 g = 30 n = 35 0 = 40 n = 40

4)

The provided sample means are shown below X = 837 X2 = 753 Also, the provided population standard deviations are: 01 = 30 09 = = 40 and the sample sizes are n1 = 35 and n2 = 40. (1) Null and Alternative Hypotheses The following null and alternative hypotheses need to be tested: HO: Hi = 12 Ha: MY E 19 This corresponds to a two-tailed test, for which a z-test for two population means, with known population standard deviations will be used. (2) Rejection Region Based on the information provided, the significance level is a = 0.05, and the critical value for a two- tailed test is ze = 1.96. The rejection region for this two-tailed test is R = {z : :| > 1.96} (3) Test Statistics The Z-statistic is computed as follows: X-X Vo/nı +oj/n2 837 - 753 302/35+ 402/40 10.362

(4) Decision about the null hypothesis Since it is observed that z= 10.362 > % = 1.96, it is then concluded that the null hypothesis is rejected. Using the P-value approach: The p-value is p = 0, and since p = 0 <0.05, it is concluded that the null hypothesis is rejected.