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Suppose we draw two tickets from a hat that contains tickets numbered 1,2,3,4. Let X be the 1st number drawn and Y be the second. Find the joint distribution of X and Y.
Find a 95% confidence interval for the regression parameter B1 and use this confidence interval to test the hypothesis H0: B1=0 versus H1: B cannot equal 0. What is the level of significance for the
Experiments have shown that when a clean tungsten surface is heated by laser irradiation using a focused ruby laser, the rate of evaporation of tungsten from the surface is similar to that obtained
Specimens of blood from 10 different animals were analyzed for blood count, say, Y (in units of 100) and packed cell volume count X (in mm^3) with results as given below. Assuming normality, test th
Assuming n= E(Y|X) = beta0- Beta1X, the least squares estimates of beta0 and beta1 and hence the least squares estimate of n. Construct 95% confidence intervals for beta0, beta1, and n0 = beta0 +bet
1. The residents of a housing development for senior citizens have completed a survey in which they indicated how physically active they are (X) and how many visitors they receive each week. You fi
A chemical Engineer wants to fit a straight line to the data found observing the tensile strength, Y, of 10 test pieces of plastic that have undergone baking (at a uniform temperature) for X minutes
It is decided to measure the resistance of sheets of a certain metal at temperatures X of 100K, 200K, 300K, 400K and 500K. The resistances Y are found to be 4.7, 7.4, 12.4, 16.5, and 19.8, respectiv
At the .05 level of significance, test whether speed of execution and overall satisfaction are related. Show the ANOVA table. What is your conclusion?
A company is studying the feasibility of buying an elevator for a building under construction. One proposal is a 10-passenger elevator that, on average, would arrive in the lobby once per minute.
Specimens of blood from 10 different animals were analyzed for blood count, say Y (in units of 100) and packed cell volume count X (in mm^3) with results as given below. Assuming normality, test the
Someone suggests that the lifetime T (in days) of a certain component can be modeled with the Weibull distribution with parameters alpha= 3 and beta = 0.01.
In each case, determine whether the study in question is a controlled experiment or an observational study; justify your answer.
If a data set has correlation coefficient equal to 0.9, which of the following is necessarily true about the data points of its scatter diagram? Justify your answer. (a) The points all lie on a line
For women age 25-34 with full-time jobs, the average income in 2004 was $32,000, and the SD for income was $26,000. Assuming the incomes are normally distributed, find the percentage of women age 2
A manufacturing company wants to investigate the product coming out of two machines has a similar diameter or not. It is established that the standard deviation of the diameter for the parts from Ma
Using the data provided, x = the quality of the speed of execution and y = overall satisfaction with the electronic trades provided the estimated regression equation ? = .2046 + .9077x. At the
If the poll is taken from 200 random voters throughout the US (assuming the 200 votes sampled are a true representation of the voting profile), what is the probability that the candidate will get le
Why is a z-score range -3 to +3? If a normal distribution is not assumed, can a z-score still be used? Why or why not?
The number of telephone calls coming into a business's switchboard averages 4 calls per minute. Let x be the number of calls received. Find P(x=0)
An entomologist writes an article in a scientific journal which claims that fewer than 20 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Assuming that a hypoth
List all possible samples of size 2. Calculate the sample mean for each. What is the average of the sample means calculated in part (b)? How does it compare with the population mean calculated in par
Let p denote the true proportion of ticket holders who buy tickets again for the following season. A random sample of 125 ticket holders revealed 90 people plan on renewing their tickets. Give a poi
If the distribution of the original measurements is not normal, you can still use the standard normal distribution to construct a confidence interval for , the average online time for all users of t
An applicant must score at least 80 points on a particular psychological test to be eligible for the Peace Corps. From nearly 30 years experience, it is known 60% of the applicants meet this require