1. Assume that systolic blood pressure readings are normally distributed with mean 120 and standard deviation of 5.8. A researcher wishes to select people for a study but wants to exclude the top and bottom 12 percent. What would be the upper and lower readings to qualify people to participate in the study?

1. Cans of salmon are supposed to have a net weight of 6 oz. The cannery owner claims that the net weight is a random variable with mean 6.05 oz. and stand. Dev 0.18 oz. As an inspector for the U.S. Food and Drug Administration, your job is to make sure that the cans are filled with an adequate amount of salmon. You select a random sample of 36 cans from the cannery's production line and find the mean of the sample to be 5.97 oz. What would you conclude about the owner's claim that the mean fill is 6.05 oz.?

1. Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $31,000 and a standard deviation of $3000. If a teacher is randomly selected, find the probability that their salary is between $30,500 and $31,500. (find numerical value)

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