Assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard deviation 15. Find p9 which is the IQ score separating the bottom 9% from the top 91%. Assume that women s heights are normally distributed with a mean given by u=64.4in. and a standard deviation given by o=2.8in a). if 1 women is randomly selected find the probability that her height is less than 65in. b). if 46 women are randomly selected find the probability that they have a mean height less than 65in. Cans of a certain beverage are labeled to indicate that they contain 20oz. the amounts in a sample of cans are measured and the sample statistics are n=43 and x=20.01oz. if the beverage cans are filled so that u=20.00oz (as Labeled) and the population standard deviation is o=0.111oz. (based on the sample results) find the probability that a sample of 43 cans will have a mean of 20.01oz or greater. do these results suggest that the beverage cans are filled with an amount greater than 20.00oz? a.) With n=14 and p=0.07 find the binomial probability p(4) by using a binomial probability table b.) if np>-5 and nq>-5 also estimate the indicated probability by using the normal distribution as an approximation to the binomial if np<5 or nq<5 then state that the normal approximation cannot be used selected find the mean and standard deviation for the number of orange candies in such groups of 200 A candy company claims that 23% of its plain candies are orange and a sample of 200 such candies is randomly

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