question archive A mandatory competency test for high school sophomores has a normal distribution with a mean of 400 and a standard deviation of 100

A mandatory competency test for high school sophomores has a normal distribution with a mean of 400 and a standard deviation of 100

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A mandatory competency test for high school sophomores has a normal distribution with a mean of 400 and a standard deviation of 100.

a.      The top 3% of students receive $500. What is the minimum score you would need to receive this award?

b.      The bottom 1.5% of students must go to summer school. What is the minimum score you would need to stay out of this group?

27.  Product Marketing An advertising company plans to market a product to low-income families. A study states that for a particular area, the average income per family is $24,596 and the standard deviation is $6256. If the company plans to target the bottom 18% of the families based on income, find the cutoff income. Assume the variable is normally distributed.

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