Download Unit 7 Review and Study Sheet

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Unit 7 Review and Study Sheet
1. Make a box and whiskers plot of the data: {4, 8, -6, -3, -15, 12, 31, 23, 22, 22, 16}. List the data points that
lie to the right of the third quartile.
2. For the following data, find the variance and the standard deviation. ROUND THE VARIANCE AND THE
STANDARD DEVIATION TO THE NEAREST TENTH!
{3, −6, 12, −5, 14, 16, 29}
3. Assuming a normal distribution, about what percent of the data lies to the right of the mean and two
standard deviations to the left of the mean? DRAW THE NORMAL DISTRIBUTION BELL CURVE.
4. A large group of students took a chemistry exam and the final grades have a mean of 70 and a standard
deviation of 10. A) What is the probability that a random student will score above an 80 on this exam?
B) Above an 85?
C) Below a 60?
5. In the United States, the average IQ is 100, with a standard deviation of 15. What percentage of people
would you expect to have an IQ between 90 and 120?
6. In America, the average height of a woman is 𝜇 =64.6 inches with a standard deviation of 𝜎 = 0.5 inches.
A) What percent of women would you expect to be shorter than 5 feet tall?
B) What percent of women would you expect to be between 5’ 1’’ and 5’ 10’’?
7. In a sample of 60 newborn babies, the average weight was 7.5 pounds with a standard deviation of 0.5
pounds. Construct a 95% confidence interval to estimate the mean weight of all newborn babies?
8. A sample size of 750 people is surveyed from Paris, France to determine the number of people who believe
in love at first sight. 400 people said that they do believe in love at first sight and 350 people did not believe in
love at first sight. Construct a 98 percent confidence interval for the population who believes in love at first
sight.
9. Determine whether the scenario describes a survey, experiment or observation. A researcher wants to
test the effectiveness of the herb quercetin for treating inflammation of the prostate gland.
10. Determine whether the scenario describes a survey, experiment or observation. A principal wants to
compare the number of classroom disruptions between Mr. Jordano’s 2nd period and Mrs. Cloud’s 7th period
classes.
11. Suppose that a doctor claims that 17 year olds have an average body temperature that is higher than the
commonly accepted average human temperature of 98.6 degrees Fahrenheit. A simple random sample of 49
people, each of age 17, is selected. The average temperature of the 17 year olds is found to be 98.9 degrees,
with standard deviation of 0.6 degrees.
A) What is H0
B) What is HA
C) What is the p value?
D State your conclusion
12. You are researching tree trunk diameter for Ponderosa pines in the Black Hills National Forest. You believe
that the average diameter is less than 14 inches. You obtain a simple random sample of 100 Ponderosa pines.
Historical data suggests that the population standard deviation is σ = 2.54. Suppose the mean for your sample
is x = 13.54.
A) What is H0
B) What is HA
C) What is the p value
D) State your conclusion