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The average weight at birth of babies whose mothers are consuming cocaine is estimated in a study. Suppose that the birth weight is normally distributed with a standard deviation of 350 grams.
a) What is the sample size needed to estimate the average weight with a maximum error of 0.5 lbs at a level of confidence of 95%? Note: (1lb = 454g)
b) Let's say we collect a random sample of infants and that we compute a 95% confidence interval for the population mean weight. If we change the level of confidence from 95% to 98% would the length of the interval be shorter, longer or not change? Explain.
Suppose your company needs $18 million to build a new assembly line. Your target debt-equity ratio is 0.84. The flotation cost for new equity is 10 percent
If you do not do anything about the 16 zero values of PCB126, what does your software do with these cases? Is there an error message of some kind?
Define a sample space and count the number of sample points for each of the following experiments: (a) Select at random a catcher, pitcher, first baseman, and second baseman from a group of 15 baseball players.
Suppose the salary of assembly line workers has Normal distribution with mean of $20,000, and standard deviation of $3,000.
a) What is the level of significance? b) What is the value of the sample test statistic? c) Find (or estimate) the P-value.
A manufacturer of small appliances purchases coffeepot handles from an outside vendor. If a handle is cracked, it is considered defective and can't be used
Use Levene's test to determine if the assumption of homogeneity of variances is valid. Give hypotheses, test statistic, p-value, decision and conclusion.
Define Yt = et for t not= 1 and Yt = 1/sqrt2 (e_t-1_squared - 1) for t=1. Show that Yt is a white noise process despite the fact that Y1 is perfectly predictable from the earlier observation.
Consider a simple bolted connection between structural members. In the structural system at hand, all bolts always carry equal loads. If there are n bolts in the connection, and the total load being carried by the connection is L [kN], then each b..
(Using the Third Best Value in the Auction Algorithm) Frequently in the auction algorithm the two best objects for a given person do not change between two successive bids of that person.
In each part of given question, explain whether the proportion that is described is a sample proportion or a population proportion.
A high-performance jet aircraft with an autopilot control system has a unity feedback and control system, as shown in Figure DP7.5. Sketch the root locus and select a gain K that leads to dominant poles.
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