Chapter 6.2 Applications of the Normal Distribution.

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Presentation transcript:

Chapter 6.2 Applications of the Normal Distribution

Summer spending A survey found that women spend, on average $ on beauty products during the summer months. Assume the standard deviation is $ Find the percentage of women who spend less than $ Assume the variable is normally distributed.

Monthly Newspaper Recycling Each month, an American household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds. If a household is selected at random, find the probability of generating Between 27 and 31 pounds per month More than 30.2 pounds per month

Police Academy Qualifications To qualify for a police academy, candidates must score in the top 10% on a general abilities test. The test has a mean of 200 and a standard deviation of 20. Find the lowest possible score to qualify. Assume the test scores are normally distributed.

Systolic blood pressure For a medical study, a researcher wishes to select people in the middle 60% of the population based on blood pressure. If the mean systolic blood pressure is 120 and the standard deviation is 8, find the upper and lower reading that would qualify people to participate in the study.