8-year-old children heights are normally distributed with a mean of 70.6 cm and a standard deviation of 10.1 cm. What fraction of heights are within 1.5 standard deviations of the mean?

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8-year-old children heights are normally distributed with a mean of 70.6 cm and a standard deviation of 10.1 cm. What fraction of heights are within 1.5 standard deviations of the mean?

 

To test the hypothesis that eating fish makes one smarter, a random sample of 12 persons take a fish oil supplement for one year and then are given an IQ test. Here are the results: 116, 111, 101, 120, 99, 94, 106, 115, 107, 101, 110, 92. Test using the following hypotheses, report the P-value, H0: μ = 100 Ha: μ > 100

 

 

In a sample of 11 observations ordered from smallest to largest, the last 10 were: - 0.9, 0.6, 0.7, 1.6, 2.4, 3.1 , 4.9, 5.4, 10.6, 10.8. The 1.5 x IQR rule identified the first observation as an outlier. The value of the first observation could be

 

You have 3 options to get to work: 60% of the time you go by bike, 30% of the time you go by bus and10% of the time you walk to work. Given that you rode your bike, there is a 10% chance that you will arrive late. Given that you took the bus, there is a 20% chance you will be late. And given that you walked, there is a 10% chance you will be late. What is the probability that you will be late for work?

 

The operations manager at a large newspaper wants to estimate the percentage of newspapers printed that have a nonconforming attribute such as excessive rub off, improper page setup, missing pages, or duplicate pages. A random sample of 200 newspapers was selected from all those printed in a single day. The results showed that 35 newspapers contain some type of nonconformance. Which of the following is the correct 90% confidence interval for the percentage of newspapers printed during the day that have a nonconforming attribute?

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