Let X1, X2, , Xn1 be a random sample from a normal population with mean 1 and variance 2, and Y1, Y2, , Yn2 be a random sample from an independent normal population with mean 2 and variance 2 Show that ni 2 2

Question: Let X1, X2, . . ., Xn1 be a random sample from a normal population with mean 1 and variance 2, and Y1, Y2, .

Let X1, X2, . . ., Xn1 be a random sample from a normal population with mean Î¼1 and variance Ïƒ2, and Y1, Y2, . . ., Yn2 be a random sample from an independent normal population with mean Î¼2 and variance Ïƒ2. Show that

ni + 2-2

Step by Step Solution

★★★★★

3.38 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

If is a random sample from a normal population with mean and ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

610-M-S-S-D (2184).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

a. Let X1 have a chi-squared distribution with parameter n1 (see Section 4.4), and let X2 be independent of X1 and have a chi-squared distribution with parameter v2. Use the technique of Example 5.22...

X1, X2, .., Xa is a random sample from a normal distribution with mean and variance 2. Let Xmin and Xmax be the smallest and largest observations in the sample. (a) Is (Xmin + X man)/2) an unbiased...

Let X 1 and X 2 constitute a random sample from a normal population with 2 = 1. If the null hypothesis = 0 is to be rejected in favor of the alternative hypothesis = 1 > 0 when > 0 + 1, what...

IDENTIFY AND DISCUSS TEN REASONS FOR A FIRM TO FAIL IN PROMOTING GLOBAL SALES. WHY DID THE LOGISTICS AND MARKETING DIVISIONS FAIL IN PROMOTNG THE PRODUCT GLOBALL

Solve the ff: 3. Let X1, X2, ..., X, be a random sample from a normal population with mean u and variance o2 taken independently from another random sample Y1, Y2, ..., Ym from a normal population...

Please solve the ff: Let X1, X2, ...; Xn be a random sample from a normal population with mean u and variance o- taken independently from another random sample Y1, Y, ..., Ym from a normal population...

Solve the ff: Let X1, X2, ...; Xn be a random sample from a normal population with mean u and variance o- taken independently from another random sample Y1, Y, ..., Ym from a normal population with...

Let X 1, X 2 , ..., X 10 be a random sample from a Normal Population with a mean of 3 and a standard deviation of 2. Find the variance of the sample mean (x) I need typed answer with explanation

Let X 1, X 2 , ..., X 10 be a random sample from a Normal Population with a mean of 3 and a standard deviation of 2. Find the variance of the sample mean (X )

Let X1, X2, ..., Xn be a random sample from a normal population with mean 0 and known variance of. Consider estimating 0 using the squared error loss. Let the prior distribution

Let C be a smooth arc and gk : C R be continuous for n N. a) If gk g uniformly on C, prove that C gk ds C g ds as k . b) Suppose that {gk} is pointwise monotone and that gk g pointwise on C as...

The common stock of Alexander Hamilton Inc. is currently selling at $120 per share. The directors wish to reduce the share price and increase share volume prior to a new issue. The per share par...

Maria is a manager for Siverman Racks investment bank She decides one day to give herself a hefty $ 2 5 0 , 0 0 0 bonus, which will directly reduce the value of each share in the company. Since she...

Review this chapter and the discussion of business intelligence and analytics in Chapter 11 .

Continuation of Exercise 5-96. Determine the following probabilities: (a) P(X 0.5, Y

Continuation of Exercise 5-96. Determine the following: (a) Marginal probability distribution of the random variable X (b) Conditional probability distribution of Y given that X = 1 (c) E(Y|X = 1)...

The percentages of people given an antirheumatoid medication who suffer severe moderate or minor side effects are 10, 20, and 70%, respectively. Assume that people react independently and that 20...

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.9 8.2 6.7 3.7 2.4 2.5 2.7 0.6 y 13.9 11 9.4 7.2 6 6.5 6.2 4.5 =...

Use the following table: Series Average return Large stocks 11.88 % Small stocks 16.58 Long-term corporate bonds 6.29 Long-term government bonds 6.10 U.S. Treasury bills 3.89 Inflation 3.10 a....

H. Cochran, Inc., is considering a new three-year expansion project that requires an initial fixed asset investment of $2,670,000. The fixed asset will be depreciated straight-line to zero over its...