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A computer has life expectancy of 100 hours and standard deviation of 20 hours. The company should replace defective computers. How long should they guarantee the computers if they want to have to r
Determine the null hypothesis and alternative hypothesis in symbols, test statistic, p-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.
Employ a = .01 and conduct a goodness of fit test to see whether the following sample appears to have been selected from a normal distribution.
ow is the rejection region defined and how is that related to the z-score and the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians are asked to compl
Describe that the sample median of random sample of size 5 from the exponential distribution with parameter λ isn't an unbiased estimator of the population median of that distribution.
Select and calculate the appropriate descriptive statistics to describe the characteristics of the sample under study (sex distribution, age, and ethnicity) and the anxiety reported by the sample, m
There were 38 boys in the sample, and the standard deviation of their scores was 13.2 Determine the value of the sample t-statistic?
Let X1 and X2 be independent as well as exponentially distributed with paramaters L1 and L2, respectively, and let Y=min(X1,X2). That is, Y is the smaller of the two. What is the pdf of Y?
Historically, the pass rate on state bar exam for attorneys in a specific state has been 55.4%. Since giving the last exam, the state has replaced an old exam training program with a new one.
A multiplicative demand function of the form: Qd = aPb1Yb2Pob3 is estimated using cross-sectional data and 224 observations.
Suggest a heat treating process for steel. This steel is to be used in constructing bridges and the customer has set specifications on the steel at 50 +/- 5 psi. Based upon a sample from process, we
If you take your car in the shop it mean time it takes to diagnose is 3 hours with standard deviation of 20 minutes. Once the car is in the repair area is takes mean of 2 hours with standard deviati
Determine using a 99% confidence interval the probability of a bar breaking at the specified stress.
Place 95% confidence intervals on the mean rainfall from both seeded and unseeded clouds. Place 95% confidence intervals on the median rainfall from both seeded and unseeded clouds.
Let X be the number of heads obtained in 5 tosses of a fair coin. Let -∞<t<∞ and define g(X)=e^tx. M(t)=E(e^tx)=Sg(x)f(x)=(x=5 above)Σ(x=0 below)= (5 choose x) ((1/2)^5)(e^tx)
A new chairman wants the 5 labor unions to take a wage cute. Assume there is a .7 probability that a union will reject a wage cut and that the decisions are independent of each other. Determine the
Let the continuous random variables X and Y follow a bivariate normal distribution with parameters. μx=3, μy = 1, σ2x=16, σ2y=4 and ρ=1/2. Find the probability that X falls betwe
Let X follow a unifor distribution U(0,2) and let conditional distribution of Y given X = x be U(0,x2). Determine the conditional expectation of Y given X = x?
Assume that X^2 has a chi^2 distribution with 6 degrees of freedom. Find out P(X^2 > 4.3) and determine the value of A such that P(X^2 > A) = 0.11.
Use the confidence level and sample data to find the margin of error E. Systolic blood pressures for women aged 18-24: 94% confidence; n = 100, = 115.1 mm Hg, sigma s = 12.6 mm Hg.
Determine the minimum sample size you should use to assure that your estimate of will be within the required margin of error around the population p? Margin of error: 0.018; confidence level: 99%; a
Employ the given level of confidence and sample data to develop a confidence interval for the population proportion p. A survey of 300 union members in New York State reveals that 112 favor Republic
Employ the given level of confidence and sample data to develop a confidence interval for the population proportion p. Of 346 items tested, 12 are found to be defective. Construct the 98% confidence
A local drugstore knows that on the average 60 people stop by his store per hour. What is the probability that in a given 3-minute period nobody enters the store?
Find out which, if any, of the three statements are equivalent. Provide a reason for your conclusion. Show complete work and submit your solution to the Dropbox.