Monday

January 26, 2015

January 26, 2015

Posted by **John** on Monday, May 10, 2010 at 2:22pm.

(b)What is the probability of a Type II error?

2.Let xbar be the observed mean of a random sample of size n from a distribution having mean mu and variance sigma squared. Find n so that xbar-sigma/4 to xbar+sigma/4 is an approximate 95% confidence interval for mu.

3. Let p denote the probability that, for a particular tennis player, the first serve is good. Since p=0.40 this player decided to take lessons in order to increase p. When the lessons are completed, the hypothesis Ho:p=0.40 will be tested against H1:p>0.40 based on n=25 trials. Let y equal the number of first serves that are good, and let the critical region be defined by C={y:y>=13}. Determine the significance level.

4. Let X be N(mu,sigma squared)so that P(X<89)=0.90 and P(X<94)=0.95. Find mu and sigma squared.

5. Let X1,...,X9 be a random sample of size 9 from a distribution that is N(mu,sigma squared). If sigma is known, find the length of a 95% confidence interval for mu if this interval is based on the random variable Squarert9(xbar-mu)/sigma.

6. Half pint (8oz) milk cartons are filled at a dairy by a filling machine. To provide a check on the machine, a sample of 10 cartons is periodically measured. If the sample mean deviates by more than a certain amount d from the nominal value 8oz, i.e, if [xbar-8]>d, then the machine setting is adjusted. The chance of a false alarm indicating an unnecessary adjustment is to be limited to 1%. Find a formula for d.

7. The lifetime of lightbulbs of a particular type are normally distributed with a mean of 293 hours and a standard deviation of 6 hours. Find the 1st quartile.

**Answer this Question**

**Related Questions**

binomial distribution - For a binomial distribution with parameters n = 5 , p = ...

statistics - can you explain this to me please? Consider the binomial ...

Statistics - Opinion polls find that 13% of Americans "never have time to relax...

Statistics - Test the significance of the correlation coefficient r at a=0.05 ...

Statistics - Suppose X1;X2;...;X5 is a random sample from a n(0; variance) ...

Statistics - Find the probability when A. k = 2 and ë = 0.01 for Poisson ...

statistic - Quiz has 6 questions. Each question has five possible answers, only ...

Binomial and Poisson distribution - A machine produces ribbon in which flaws ...

Statistics - Assume it is known that the probability of birth is equal in all ...

statistics - Assume a binomial probability distribution has p = .60 and n = 200...