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A die is rolled 24 independent times. Let Y be the sum of the 24 resulting values. Recalling that Y is a random variable of the discrete type approximate: (a) P(Y >= 86) (b) P(Y < 86) (c) P(70
The estimate of the slope is? The estimate of the y-intercept is? The prediction for the sales for a broker who brings in 25 clients is?
Obtain a point estimate of the mean number of rolls of a die before a 1 is observed. The population standard deviation for the number of rolls before a 1 is observed. Use this result to construct a 9
It is reported that 25 percent of American households use a cell phone exclusively for their telephone services. In a sample of 11 households, find the probability that:
What is the probability that exactly one vehicle requires warranty service? Exactly two vehicles require warranty service? Compute the mean and standard deviation of this probability distribution.
Use this information to develop linenar equation in slope-intercept form. In developing the equation, think of 1980 as year zero let x be the time in years and let y be the population density, Write
The specifications on an electronic component in a target acquisition system are that its life must be between 5,000 - 10,000 h. The life is normally distributed with mean 7500 h. The manufacturer r
Two different manufacturing processes can be used, both of which have the same mean life. However the standard deviation of life for process 1 is 1000 h, where as process 2 is only 500 h. Production
Is the alternative hypothesis independent or dependent? State the test statistic from minitab: (Enter to 3 decimal places). Determine the number of degrees of freedom:
A small private golf driving range has 6 different teeing stalls. Below is the usage for each stall recorded during one summer week. Determine if there is equal usage of all teeing stalls at the alp
What is the realtion between the significance level of a hypothesis test and the probability of making a type 1 error?
Consider the following. (Give your answers correct to two decimal places.) (a) Determine the value of the confidence coefficient z(?/2) for 1 - ? = 0.88.
Show that due to the orthogonality of the regressors also the estimated coefficients BETA(hat)1 and BETA(hat)2 are uncorrelated, i.e. show that cov(BETA(hat)1, BETA(hat)2) = 0.
How many samples would be required if we wished to obtain the maximum possible number of samples needed (i.e., we do not want to rely on the 37% estimate from above) with a 95% confidence and d=0.03
The auto parts department of an automotive dealership sends out an average of 4.9 special orders daily. a) What is the probability that for any day, the number of special orders sent out will be less
Is there a relationship between the opinion and the location of the resident at a level of significance of 0.05?
A researcher wishes to conduct a study on the self-esteem levels of adolescents. She believes that male adolescents have higher self-esteem than female adolescents.
What are the mean and variance of the portfolio value? Andrea has been asked to reduce the variance (risk) of the portfolio. She offers to trade the 10 shares of stock A and receive and 2 offers, f
A sample of 144 students is taken from a population of 2000 high school students to estimate the proportion of students who can be expected to register at a college. Assuming that the true populatio
Suppose that a random sample of 50 bottles of a particular brand of cough syrup is selected, and the alcohol content of each bottle is determined. Let µ denote the average alcohol content for
1) A random sample of 60 college graduates results in a mean time to graduate of 4.58 years, with a standard deviation of 1.10 years. Construct and interpret a 98% confidence interval for the averag
If a general linear programming problem can also be formulated as a network problem, the network formulation is generally preferable because of easier model input and a quicker solution technique.
A box contains one twenty-dollar bill and four one-dollar bills. Two bills are randomly chosen, one at a time, without replacement. a. Find the expected value of the bill drawn first.
A sample of 65 night-school students' ages is obtained in order to estimate the mean age of night-school students. x = 25.1 years. The population variance is 25
Find the point estimate for the mean length of all parts now being produced. (Give your answer correct to two decimal places.)