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1.) For a sample proportion p=0.41 from a sample of n=43 what is the standard error (aka standard deviation of the sample proportion “p bar”)? Answer to three decimal places. Hint: you should consult the formula in your textbook if I did not cover this in class, it is simply a direct application of the formula.2.) For a sample of 61 entry level managers you find the standard deviation of incomes is 2,318 (measured in dollars). What is the standard error? Answer to one decimal place.3.) Suppose you have the average price for a sample of Lucky Charms at 35 different stores in the valley. Suppose that the population standard deviation for the prices is 1.4. If the population mean is 4.8, what is the z value for a sample average of 4.5? Answer to two decimal places.