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A microwave manufacturing company has just switched to a new automated production system. Unfortunately, the new machinery has been frequently failing and requiring repairs and service.
Consider two random variables with standard deviation 1.60 and 3.90. The correlation between the two random variables is equal to -0.45. The covariance is equal to:
The foreman at a large plant estimates that there are defective parts about 1% of the time. If the plant produces 20,000 parts in a week, what is the variance for the number of defective parts?
Prove that the regression R2 is identical to the square of the correlation coefficient between two variables Y and X. Regression functions are written in a form that suggests causation running from
Given the amount of money and effort that you have spent on your education, you wonder if it was (is) all worth it. You therefore collect data from the Current Population Survey (CPS) and estimate a
Imagine that you had discovered a relationship that would generate a scatterplot very similar to the relationship Yi = Xi^2 , and that you would try to fit a linear regression through your data poin
Indicate in a scatterplot what the data for your dependent variable and your explanatory variable would look like in a regression with an R2 equal to zero. How would this change if the regression R2
A political action committee wanted to estimate the proportion of county residents who support a change to the county leash law. They took a random sample of 600 county residents and found that the
The mean breaking strength of yarn used in manufacturing drapery material is required to be at least 100 psi. Past experience has indicated that the standard deviation of breaking strength is 2.5 ps
A box of 40 components is called acceptable if it contains no more than 2 defectives. The procedure for sampling the box is to select 5 components at random and to reject the box if one or more defe
The yield of a chemical process is being studied. From previous experience with this process the standard deviation of yield is known to be 2.9. The past 5 days of plant operation have resulted in t
The Dallas IRS auditing staff, concerned with identifying potentially fraudulent tax returns, believe that the probability of finding a fraudulent return given that the return contains deductions fo
The points (0,5) and (5,10) fall on the regression line for a perfect positive linear relationship. What is the regression equation for this relationship? Student Response Feedback A. cannot be dete
Suppose a garage has 2 gates one with Poisson distribution of 3 cars/hour and the other gate 4 cars/hour. What is the probability of 3 car entering the garage in a given hour? (Assume the number of
Find the probability that among 8 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.
Based on the survey, what proportion of Canadians feel that punishment should include both jail time and a lifetime driving ban?
The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = .17 and a simple random sample of 800 households will b
What is the probability that the sample proportion will be within +/- .03 of the population proportion if a sample of size 800 is selected (to 4 decimals)?
How is the rejection region defined and how is that related to the z-score and p value?
The lifetime of an electronic component in an HDTV is a random variable that can be modelled by the exponential distribution with a mean lifetime β.
The cholesterol levels for women are normally distributed with mean 185 and standard deviation of 40. What percent of women have cholesterol level between 150 and 220?
A time for the 100-meter spring of 15.1 seconds at a school where the mean time for the 100-meter sprint is 17.6 seconds and the standard deviation is 2.2 seconds. Find the z score corresponding to
Suppose that we are testing H0: µ = µ0 versus H1: µ > µ0. Calculate the P -value for the following observed values of the test statistic (round all answers to 4 decimal plac
A random variable Z is defined as the total amount of time passing until the fourth patient arrives at the ER in specific one hour period. What is the probability that at least 10 minutes to at most
What is the probability that the mean failure time for the sample is less than 3000 cycles? What is the probability that a particular mechanism has a time to failure greater than 6500 cycles?