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On the Standford-Binet test, the mean IQ is 100. A class of 21 kindergarten pupils were tested with a resulting mean of 100 and a standard deviation of 8.06. What is the standard error of the 90% confidence interval of the average IQ of the kindergarten pupils?



According to Dietary Goals for the US (1977), high sodium intake may be related to ulcers, stomach cancer, and migraine headaches. The human requirement for salt is less than 220 milligrams per day, which is surpassed in most single servings of ready-to-eat noodles. If a random sample of 9 similar servings of noodles has a mean sodium content of 214 milligrams and a standard deviation of 7.5. What is the standard error of the 95% confidence interval of the mean sodium content of the noodles being investigated?



A random sample of 14 cigarettes of a certain brand has an average nicotine content of 3.9 milligrams and a standard deviation of 2.5 milligrams. What is the lower bound of the 99% confidence interval for the average nicotine content of the cigarettes.



A random sample of 14 cigarettes of a certain brand has an average nicotine content of 3.8 milligrams and a standard deviation of 2 milligrams. What is the upper bound of the 99% confidence interval for the average nicotine content of the cigarettes.



A random sample of 14 cigarettes of a certain brand has an average nicotine content of 4.4 milligrams and a standard deviation of 1.9 milligrams. What is the margin of error of the 99% confidence interval for the average nicotine content of the cigarettes.



A random sample of 14 cigarettes of a certain brand has an average nicotine content of 3.7 milligrams and a standard deviation of 1.5 milligrams. What is the standard error of the 99% confidence interval for the average nicotine content of the cigarettes.



1. Find the greatest common divisor of the following polynomials over F, the field of rational numbers: (a) x 3 - 6x 2 + x + 4 and x 5 - 6x + 1. (b) x 2 + 1 and x6 + x 3 + x + 1. 


explain why the following experiments are not binomial.




A. Rolling a die until a 6 appears.




B. Asking 20 people how old they are.




C. Drawing 5 cards from a deck for a poker hand.

In an expirement where you roll a die and the random variable (X) is numbers that appears is even. What are the possible values of your random variable?



1 point




Prove that if 30 dictionaries in a library contains a total of 61,327 pages, then at least one of


the dictionaries must have at least 2045 pages.

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