population of parameter A. 1. Find a 90% confidence interval for X;

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The random sample (X₁, X2,..., X5) = (2, 3, 5, 10, 15) representing the duration of a paritcular type
of chemical reaction (in seconds) has been observed. Suppose the observation comes from an exponential
population of parameter X.
1. Find a 90% confidence interval for X:
2. To the 5 observations have been associated the following related measurements of nitrogen monoxide
produced by the reaction: (4, 5, 8, 9, 13). Assume that among the observed x; and the related Y; exist a
linear dependence, and that we can assume that Y; satisfy suitable normality assumptions, find the esti-
mated regression coefficients and the determination coefficient.
3. Suppose to have performed 100 reactions and observed X₁ = 611 and ΣX? = 45000, would you
reject the hypothesis Ho: po = 7 versus H₁ : ₁ = 5 for a 5% significance level?
Transcribed Image Text:The random sample (X₁, X2,..., X5) = (2, 3, 5, 10, 15) representing the duration of a paritcular type of chemical reaction (in seconds) has been observed. Suppose the observation comes from an exponential population of parameter X. 1. Find a 90% confidence interval for X: 2. To the 5 observations have been associated the following related measurements of nitrogen monoxide produced by the reaction: (4, 5, 8, 9, 13). Assume that among the observed x; and the related Y; exist a linear dependence, and that we can assume that Y; satisfy suitable normality assumptions, find the esti- mated regression coefficients and the determination coefficient. 3. Suppose to have performed 100 reactions and observed X₁ = 611 and ΣX? = 45000, would you reject the hypothesis Ho: po = 7 versus H₁ : ₁ = 5 for a 5% significance level?
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