To test Ho: o = 4.2 versus H₁: o #4.2, a random sample of size n = 17 is obtained from a population that is known tobe normally distributed.(a) If the sample standard deviation is determined to be s=4.9, compute the test statistic.(b) If the researcher decides to test this hypothesis at the a= 0.01 level of significance, use technology to determinethe P-value(c) Will the researcher reject the null hypothesis?(a) The test statistic is x =(Round to two decimal places as needed.)xample Get more help.Clear allaspx?cultureld=&theme=math&style=highered&disableStandbyIndicator=true&assignmentHandles Locale=true=

H0 : σ = 4.2H1 : σ ≠ 4.2n =17

Answered: To test Ho: o = 4.2 versus H₁: o #4.2,…

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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The U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National Park) from 1870 to 1987. Let x1 be a random variable that represents the time interval (in minutes) between Old Faithful eruptions for the years 1948 to 1952. Based on 9060 observations, the sample mean interval was x1 = 62.4 minutes. Let x2 be a random variable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based on 24,755 observations, the sample mean time interval was x2 = 70.8 minutes. Historical data suggest that σ1 = 8.07 minutes and σ2 = 12.20 minutes. Let μ1 be the population mean of x1 and let μ2 be the population mean of x2. (a) Compute a 99% confidence interval for μ1 – μ2. (Use 2 decimal places.) lower limit upper limit
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Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately σ2 = 5.1. Suppose a recent study of age at first marriage for a random sample of 41 women in rural Quebec gave a sample variance s2 = 3.0. Use a 5% level of significance to test the claim that the current variance is less than 5.1. Find a 90% confidence interval for the population variance. Find the requested confidence interval for the population variance. (Round your answers to two decimal places.) lower and upper limit
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