According to previous studies, the mean distance each visitor inGreenspan National Park hikes during their visit is 30 kilometers. Thepark recently closed its shuttle system, which used to transport hikers tomany of the park's most popular hiking trails. Because of this, anadministrator at the park suspects the mean distance, µ, is now less than30 kilometers. The administrator chooses a random sample of 45 visitors.The mean distance hiked for the sample is 29.5 kilometers. Assume thepopulation standard deviation is 9.9 kilometers.Can the administrator conclude that the mean distance hiked by eachvisitor is now less than 30 kilometers? Perform a hypothesis test, usingthe 0.10 level of significance.(a) State the null hypothesis H, and the alternativehypothesis H,.O[D=0H: µ < 30?(b) Perform a Z-test and find the p-value.Here is some information to help you with your z-test.• The value of the test statistic is given by1 – x• The p-value is the area under the curve to the left of the value ofthe test statistic.Standard Normal DistributionStep 1: Select one-tailed or two-tailed.O One-tailedO Two-tailed0.3+Step 2: Enter the test statistic.(Round to 3 decimal places.)0.3390.2+Step 3: Shade the area represented bythe p-value.0.1+Step 4: Enter the p-value.(Round to 3 decimal places.)0.3672= 0.339

From the above data The test statistic Z=0.339 P value is 0.367 Level of significance =0.10

Answered: According to previous studies, the mean…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Please see below. Note that the answers shown are wrong.
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