Background: Henry Cavendish carried out a series of experiments in 1798 to determine the mean density ofthe earth, as an indirect means to calculate the gravitational constant. A measurement of 5.5 indicates theearth's density is 5.5 times that of water.Source: Cavendish, H. (1798). Experiments to determine the density of theearth. Philosophical Transactions of the Royal Society of London, 88 (Part II),469-527.Directions: Perform an appropriate significance test to determine whether ornot Henry Cavendish's measurements for the density of the earth weredifferent from the true value of 5.513.1. Click on the Data button shown below to display the data and copy andpaste it into a statistical software package. Click the Data button asecond time to hide the data.DataDensity5.55.575.425.615.435.374.885.625.635.075.295.345.265.445.565.555.345.35.365.795.755.3955.585.585.275.855.655.492. Use the statistical software package to compute a numerical summary.3. Perform the significance test.a. Choose the correct null and alternative hypothesis.OHo5.513H₂: μ> 5.513Ho: 5.513H₂ = 5.513OHo5.513Ha 5.513OHo5.513Ha 5.513b. Compute the test statistic. Round your answer to 4 decimal places.c. Compute the p-value. Round your answer to 4 decimal places.d. Interpret the results of the test.O The p-value provides strong evidence against the null hypothesis. The differencebetween Henry Cavendish's measurements for the density of the earth and the true valueare statistically significant.O The p-value provides little evidence against the null hypothesis. The difference betweenHenry Cavendish's measurements for the density of the earth and the true value are notstatistically significant.

Let μ be the mean density of the water. Given that, Population mean (μ) = 5.513 Sample size (n) = 29…

Answered: 2. Use the statistical software package…

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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