Vn• The p-value is the area under the curve to the left of the value of the test statistic.Standard Normal DistributionStep 1: Select one-tailed or two-tailed.O One-tailedO Two-tailedStep 2: Enter the test statistic.(Round to 3 decimal places.)Step 3: Shade the area represented bythe p-value.Step 4: Enter the p-value.(Round to 3 decimal places.)0.40.3-0.2+0.1-XS(c) Based on your answer to part (b), choose what the administrator can conclude, at the 0.10 level of significance.O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enoughevidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers.O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is notenough evidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers.O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidenceto conclude that the mean distance hiked by each visitor is now less than 30 kilometers.O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enoughevidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers.XŚ According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 30 kilometers. The park recently closed itsshuttle 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 meandistance, u, is now less than 30 kilometers. The administrator chooses a random sample of 46 visitors. The mean distance hiked for the sample is 27.6kilometers. 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 ofsignificance.(a) State the null hypothesis Ho and the alternative hypothesis H₁.Ho: OH₁:0(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 byStandard Normal DistributionStep 1: Select one-tailed or two-tailed.O One-tailedO Two-tailedНStep 2: Enter the test statistic.(Round to 3 decimal places.)0<0020XXOSO0=0x-μO√n• The p-value is the area under the curve to the left of the value of the test statistic.O>O0.3-S#0

GivenMean(x)=27.6standard deviation(σ)=9.9sample size(n)=46significance level(α)=0.10

Answered: According to previous studies, the mean…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The blue catfish (Ictalurus Furcatus) is the largest species of North Amercian catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to Amercian Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. If you are going to test this claim, what would be your null and alternative hypotheses? Ho: HA: p> v Submit Question

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