Greenspan National Park hikes during their visit is 30 kilometers The park recently closed its shuttle system which used to transport hikers to many of the park s most popular hiking trails Because of this an administrator at the park suspects the mean distance is now less than 30 kilometers The administrator chooses a random sample of 45 visitors The mean distance hiked for the sample is 28 5 kilometers Assume the population standard deviation is 9 9 kilometers Can the administrator conclude that the mean distance hiked by each visitor is now less than 30 kilometers Perform a hypothesis test using the 0 10 level of significance a State the null hypothesis H and the alternative hypothesis H Ho H 0 given by z z b Perform a hypothesis test The test statistic has a normal distribution so the test is a z test Here is some other information to help you with your test x G Standard Normal Distribution Step 1 Select one tailed or two tailed O One tailed O Two tailed 20 10 is the value that cuts off an area of 0 10 in the right tail The test statistic has a normal distribution and the value is Step 2 Enter the critical value s Round to 3 decimal places Step 3 Enter the test statistic Round to 3 decimal places 03 02 01 Since the value of the test statistic lies in the rejection region the null hypothesis is rejected So there is enough evidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers Since the value of the test statistic lies in the rejection region the null hypothesis is not rejected So there is not enough evidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is rejected So there is enough evidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers O O OSO O 020 Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is not rejected So there is not enough evidence to conclude that the mean distance hiked by each visitor is now less X x c Based on your answer to part b choose what the researcher can conclude at the 0 10 level of significance 0 0 X S