Consider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean isX and the sample variance is S?. We would like to test Ho : µ = µo versus H1 : µ # µo-Now suppose that n = 16, the observed sample mean i is 8.9. the observed sample variance sº is 25 and 4o = 10.5.What is the (appropriate) observed test statistic for testing Ho : u = 4o versus H1 : µ # Ho? Give answer to three decimal places.Suppose we next want to compute a 95% confidence interval for µ.What is the lower endpoint of this 95% confidence interval? Give answer to three decimal places.What is the upper endpoint of this 95% confidence interval? Give answer to three decimal places.

We want to find test statistics and 95% confidence interval

Answered: Consider a random sample of size n from…

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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Women are recommended to consume 1790 calories per day. You suspect that the average calorie intake is larger for women at your college. The data for the 11 women who participated in the study is shown below: 2035, 2079, 1842, 1923, 1701, 1889, 1691, 1731, 1730, 2006, 1954 Assuming that the distribution is normal, what can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? p μ Select an answer = > < ≠ H1:H1: ? μ p Select an answer ≠ < = > The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? ≤ > αα Based on this, we should Select an answer accept fail to reject reject the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean calorie…
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