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There are two fuses in an electrical device. Let X denote the life time of the first fuse and Y denote the life time of the second fuse (both in years). Assume that the joint probability density function of X and Y is given by
i) Findii) Find the probability that both fuses last at least 3 years.iii) Find the marginal probability density function of X.iv) Find the marginal probability density function of Y.
A sample of 30 students are tested (sample mean=58, standard error=3.2). Compute a 99 percent confidence interval based on this sample's data. How do these students compare to the national sample?
In the regression analysis involving 25 observations following estimated regresion equation was developed. hat(Y) = 10 - 18x1+3x2+14x3 also follwoing standard errors. Test stastic for testing significance of model is?
Your office has just received 128 insurance claims to be processed in the next few days. What is the probability that half or more of the claims have been padded?
Find the regression equation and percentage of variance and test whether the equation is significant portion of the variance.
Critically discuss why the dowload is a continous numerical varaible and critically discuss why the download time is a ratio scaled variable.
The 'interaction effect' was also important. By using the means in the table above write a statement explaining how the anti-anxiety drug appears to affect anxiety. Are the outcomes consistent with the hypothesis proposed by the researchers?
Consider a large population of families with three children each. If the genders of children in any family are independent of one another, the number of male children in any family will have a binomial distribution based on three trials.
A statistical study reported that a drug was effective with a p-value of .042. (a) Is this true? An effective sample may be found about 42 times in 1000 samples.
Determining probability values using the Binomial distribution.Use the Binomial distribution to determine the probability that four or more of the contracts are in breach of the tendering guidelines.
The chance of winning a prize for each of the 15 plays is 50-50 if you bought 15 tickets, what is the chance of winning 10 or more prizes?
An experiment was carried out to assess the effects of four tomato varieties and four planting densities on yield. There were 64 plots, and each of the 16 factor combinations was randomly assigned to 4 plots.
Discuss examples where you would use test of hypothesis at your personal or professional life, in your education or society for the following situations:
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