**Text for Educational Website:**### Standard Normal Distribution#### Step-by-Step Guide for Hypothesis Testing:**Step 1:** Select one-tailed or two-tailed.- **Options:** - One-tailed - **Two-tailed** (selected)**Step 2:** Enter the critical value(s). (Round to 3 decimal places.)**Step 3:** Enter the test statistic. (Round to 3 decimal places.)---**Graph Explanation:**This is a standard normal distribution curve. It is symmetric around the mean (0) and shows a bell-shaped curve. The x-axis ranges from -3 to 3, while the y-axis ranges from 0 to 0.4. The peak of the curve is at the center (mean = 0), and the graph illustrates the distribution of data points along the standard deviation.---**Conclusion Based on Hypothesis Testing:**(c) Based on your answer to part (b), choose what the researcher can conclude, at the 0.05 level of significance.- **Conclusion:** - Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. Therefore, there is enough evidence to support the alternative hypothesis. According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 25 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, $ \mu $, is now less than 25 kilometers. The administrator chooses a random sample of 55 visitors. The mean distance hiked for the sample is 24.3 kilometers. Assume the population standard deviation is 5.8 kilometers.Can the administrator conclude that the mean distance hiked by each visitor is now less than 25 kilometers? Perform a hypothesis test, using the 0.05 level of significance.(a) State the null hypothesis $ H_0 $ and the alternative hypothesis $ H_1 $.- $ H_0: \mu = 25 $- $ H_1: \mu < 25 $(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.- $ z_{0.05} $ is the value that cuts off an area of 0.05 in the right tail.

Answered: Image /qna-images/answer/af810d91-c4ce-4fc4-9f93-6269102a8766.jpg

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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A technique for the simultaneous organization of two variables into a table is known as a. frequency distribution. b. bivariate analysis. c. cross-tabulation. d. cemtral-tendency.
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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.a) If you going to test this claim at the 0.05 significance level, what would be your null and alternative hypotheses?H0H0: H1H1: b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed
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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. Use the data below, which represents the summary statistics for 50 blue catfish caught at this reservoir, and a 0.05 significance level to test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. n=50; ¯x=40.72 pounds; s=5.03pounds Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places.e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal…
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