Mean of a random sample of size

Assignment Help Basic Statistics

Reference no: EM13993219

1. Let Y be b(300, p). If the observed value of Y is y = 75, find an approximate 90 percent confidence interval for p.

2. Let X be the mean of a random sample of size n from a distribution that is N(µ, u2), where the positive variance u2 is known. Use the fact that (1)(2) - Cl>( -}) = 0.954 to find, for each µ, c1(µ) and c2 (µ) such that Pr [c1(µ) X c2 (µ)] = 0.954. Note that c1(µ) and c2 (µ) are increasing functions of µ. Solve for the respective functions d1(i) and d2(i); thus we also have that Pr [di{ X ) µ d1(X)] = 0.954. Compare this with the answer obtained previously in the text.

Reference no: EM13993219

Questions Cloud

Problem of finding a confidence interval : Discuss the problem of finding a confidence interval for the difference µ1 - µ2 between the \wo means of two normal distributions if the variances uf and ""i are known but not necessarily equal.

Problem regarding the second probability statement : (a) Show that this second probability statement can be written as Pr (nS2/b tr nS2/a) = 0.95. (b) If n = 9 and s2 = 7.63, find a 95 percent confidence interval for u2.

Denote the order statistics of a random sample : Let Y1 Y2 ··· Y,. denote the order statistics of a random sample of size n from a distribution that has p.d.f. f( x) = 3:x:2/fJ3, 0 x 8, zero elsewhere.

Discuss the importance of health information : Discuss the various ways that health information is used within and without health care facilities and explain performance improvement and identify performance improvement tool.

Mean of a random sample of size : Let X be the mean of a random sample of size n from a distribution that is N(µ, u2), where the positive variance u2 is known. Use the fact that (1)(2) - Cl>( -}) = 0.954 to find, for each µ,

Examine the post-purchase dissonance of consumers : Examine the post-purchase dissonance of consumers and its effect on brand loyalty. Propose two marketing strategies that companies may use to evaluate the level of post- purchase dissonance among brand-loyal consumers

Analyze the trends that you observed with each company : Analyze the trends that you observed with each company. To what could you attribute the increases or decreases in each company's trend(s)

What level of irb review would it need : Identify ethical challenges you might face. (Identify a special population and then describe any possible ethical challenges that may be faced).

Mean of a random sample of size : Let i be the mean of a random sample of size n from a Poisson distribution with parameter µ. Find the function Y = u( X) so that Y has an approximate normal distribution with mean u(µ) and variance that is free of µ.

User Account

All Pages