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Question: Cereal A company's cereal boxes advertise 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean μ = 9.70 ounces and standard deviation σ = 0.03 ounces.
(a) What is the probability that a randomly selected box of the cereal contains less than 9.65 ounces of cereal? Show your work.
(b) Now take an SRS of 5 boxes. What is the probability that the mean amount of cereal x - in these boxes is 9.65 ounces or less? Show your work.
the macburger restaurant chain claims that customers mean waiting time is 3 minutes. the quality assurance department
Forty percent of the readings are within 0.5 V of the true value. Estimate the standard deviation for the meter. What is the probability of an error of 0.75 V?
A quick quiz consists of five multiple-choice questions, each with four possible answers, only one of which is correct. If you make random guesses for each answer, what is the probability that all five of your answers are wrong?
Identify an example of a statistical research finding in a mainstream media outlet (newspaper, magazine, broadcast television, etc.) and then locate the actual study or peer-reviewed journal article that served as the basis of that media report.
At this point, he would then ask you if you wanted to switch to the other door before revealing what you had won. Is it to your advantage to switch? (Hint: The answer might depend on p.)
Subjects at both sites were classified as dropouts if they left the study before the conclusion, or completers if they finished the study
Let X be a Gaussian (µX, CX) random vector. Let Y = AX where A is an m ×n matrix of rank m. By Theorem 5.16, Y is a Gaussian random vector. Is a Gaussian random vector?
Using the 0.05 level of significance, is there any evidence of a difference in the average life of bulbs produced by the two types of machines?
The heights were measured for nine supermodels. They have a mean of 67.1 and a standard deviation of 2.3 in. Use the traditional method and a 0.01 significance level to test the claim that supermodels have heights with a mean that is greater than ..
Mensa. People with z-scores greater than 2.5 on an IQ test are sometimes classified as geniuses. If IQ test scores have a mean of 100 and a standard deviation.
An article in BusinessWeek says: "Today companies use a mere 40% of their space."19 Suppose you want to disprove this claim.
the public library has a board of directors consisting of 6 women and 4 men. a 3-member committee from the board is to
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