Approximate con?dence coef?cient

Reference no: EM13981840

Let X1, ... , Xn be i.i.d. r.v.'s with (?nite) unknown mean m and (?nite) known variance s 2, and suppose that n is large.

i) Use the CLT to construct a con?dence interval for m with approximate con?dence coef?cient 1 - a;

ii) What does this interval become if n = 100, s = 1 and a = 0.05?

iii) Refer to part (i) and determine n so that the length of the con?dence interval is 0.1, provided s = 1 anda = 0.05.

Reference no: EM13981840

Questions Cloud

Is the multiplier larger or smaller than the case : Is the multiplier larger or smaller than the case in which government spending is exogenous? When t increases, does Y increase, decrease, or stay the same?

Describe how you would react to the trigger values : Are there any projects in the case study that would benefit from any of the PMLC models studied in this chapter? (Remember the six subsystems defined for the case are Order Entry, Order Submit, Logistics, Routing, Inventory Management, and Pizza F..

Problem regarding the con?dence interval tends : Show that the length of this con?dence interval tends to 0 in probability (and also a.s.) as n ® ¥; Discuss part (i) for the case that the underlying distribution is B(1, q), q Î Ù = (0, 1) or P(q), q Î Ù = (0, ¥).

What are the variables of a regression analysis : What are the variables of a regression analysis, and how do they affect the results of the analysis? What challenge does this pose to getting reliable results?

Approximate con?dence coef?cient : Let X1, ... , Xn be i.i.d. r.v.'s with (?nite) unknown mean m and (?nite) known variance s 2, and suppose that n is large.

Diameters of certain cylindrical items : The diameters of certain cylindrical items produced by a machine are r.v.'s distributed as N(m, 0.01). A sample of size 16 is taken and is found that x¯ = 2.48 inches.

What is the wave speed on the string : A particular steel guitar string has mass per unit length of 1.93 g/m. If the tension on this string is 63.3 N, what is the wave speed on the string?

Find the associated entropy change : A particular substance has a heat capacity given by C = xT2, with x a constant. If T is in Kelvins and the heat is in calories, what are the units of x?

Appropriate testing hypothesis problem : Formulate the appropriate testing hypothesis problem and carry out the test if a = 0.05.

User Account

All Pages