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As the sample size increases, the width of the interval increases. or As the sample size increases, the width of the interval decreases.
Compute sst, ssa, ssb and ssab. Set up an ANOVA table and test for any significant main effect and any interaction effect. Use a = .05.
Compute the 90%, 95% and 99% confidence intervals for the unknown population mean. Briefly discuss what happens to the width of the interval estimate as the confidence level increases. Why does this s
Show that if Z ? POI(6), then the random variables X and Y are independent and have Poisson distribution by calculating the joint p.m.f. of X and Y.
Suppose we have a floor made of parallel strips of wood, each with width 3, and we drop a needle of length 1 onto the floor. The aim of this exercise is to find the probability that the needle will
Let x and y be discrete variates with joint probability function f(x,y)=k(1/x+1/y) for x=1,2,3 y=2,3
He also noted the grade of exam they were taking (in the UK, musical instrument exams are known as ‘grades' and range from 1 to 8). He wanted to see whether the type of instrument played affec
Estimate the true percentage of acceptable fruit using a 99% confidence interval. (Hint: first find the number of acceptable fruit in the sample.)
In a certain town, 40% of the people work for the federal government. The table shows the probability distribution for the number of adults (among 4 randomly chosen) who work for the fede
A man pays $400 for a 1 year life insurance with coverage of $200,000.Given his age, he has a .995 chance of living for at least another year. What is the expected value of the policy? Should he buy
Scores on a statistics exam are given: 85 72 92 90 74 65 68 59 74 85 63 79 81 92 95 74 88 55. In preparation for conducting a significance testing using the data given in the previous question, plea
The average number of acres burned by forest and range fires in a large New Mexico County is 4,300 acres per year with a standard deviation of 750 acres. The distribution of the number of acres burn
A redundant constraint is eliminated from a linear programming model. What effect will this have on the optimal solution?
A researcher randomly selects a sample of participants from a population with a variance of 4. If the researcher selects a sample of 16 participants with a mean of 12, then what is the mean and stan
A professor finds that the average SAT score among all students attending his college is 1150±150 (?±?). He polls his class of 25 students and finds that the average SAT score is 1200.
The probability that someone in the human population has blood type AB is about p = .08; the probability that someone has blood type O is about p = .25. Knowing that each individual can have one and
The probability that a parent rewards a child with a dessert for eating a healthy meal is .07. Assuming independent outcomes, the probability that two parents reward their child's healthy eating equ
Using 10 pairs of sample data, if you compute the value of the linear correlation coefficient r and obtain a result of 0.989, then you can conclude that a strong correlation exists.
What is the final conclusion obtained when testing the claim that p > 0.25, given that the P-value is 0.5555?
For a normal distribution, which distribution is used to test the claim that a population has a standard deviation equal to 0.75, given a sample of 25 values with a sample mean of 98.2 and a sample
For a normal distribution with ? < 98.6, given a sample of 25 values with a sample mean of 98.2 and a sample standard deviation of 0.62. Which distribution is used to test this claim.
Find the P-value obtained when testing the claim that p = 0.75 when given sample data resulting in a test statistic of z = 1.20.
A researcher selects a sample of 6 professors, 6 students, and 6 administrators at a local school and has them rate the effectiveness of an innovative new teaching style. In this example, is it poss
When calculating a sample size for a hypothesis test with the altenative hypothesis being: Ha: µ1?µ2
The annual income of residents in a county is $42,000 with a standard deviation of $10,000. Assuming that the distribution of incomes is normal, between what two values do approximately 95% of the i