1. Warm-Up Honors Algebra 2 4/11/19
The weight of house cats is normally distributed with a mean of 10 pounds and standard deviation 2.1 pounds. If a cat weighs 6 pounds, find the z-score that represents this piece of data.
For a random sample of 80 journalists, the mean annual income is $48,000, with a sample standard deviation of $850. Assuming a 95% confidence level, what is the margin of error?

2. HONORS ALGEBRA 2 UNIT 7 REVIEW

3. Which sample would be best to use to determine the average height of the girls in a certain school?
Measure the height of 5 girls at a cafeteria table.
Measure the height of 5 girls on the basketball team.
Randomly select 10 girls from the school to measure.
Randomly select 10 girls from the same classroom to measure.

4. The weight of a bag of Brand A cookies is labeled as 4 ounces on the bag. However, the actual weights of the bags vary by a small amount. According to the packaging specifications, the weights are approximately normally distributed with a mean of 4.10 ounces and a standard deviation of ounce.
Part A
Select the number to complete the sentence.
According to the specifications, approximately _______ { 25, 34, 50, 84 } percent of the bags weigh 4.00 ounces or more.
Part B
During a quality control check on the bag weights, a bag was found that weighed 3.95 ounces. How many standard deviations below the mean was the bag weight? _____________________

5. For a statistics project, a group of students decide to collect data in order to approximate the percent of people in the town who are left-handed. They ask every third student entering the school cafeteria whether he or she is left-handed.
What type of method did this group use?
b. Explain which population the group can draw conclusion about based on their method.
c. Suggest a better method that would allow the students to draw a conclusion about all the residents in their town.

6. The manager of food services at a local high school is interested in assessing student opinion about a new lunch menu in the school cafeteria. The manager is planning to conduct a sample survey of the student population.
PartA
Which of the listed methods of sample selection would be the most effective at reducing bias?
Randomly select one day of the week, and then select the first 30 students who enter the cafeteria on that day.
Post the survey on the school Web site, and use the first 30 surveys that are submitted.
Randomly select 30 students from a list of all the students in the school.
Randomly select one classroom in the school, and then select the first 30 students who enter that classroom.
Part B
The manager wants to know if a student’s gender is related to the student’s opinion about the menu.
Select from the given options to correctly complete the sentence.
Because the survey is ___________, the manager _________ establish a cause and effect
Relationship between gender and opinion.
an observational study; will be able to
an observational study; will not be able to
an experimental study; will be able to
an experimental study; will not be able to

7. groups can be drawn? Justify your answer.
Part A:The histograms show the distribution of heart rates of randomly selected adult males between the ages of 40 and 45 after 20 minutes of continuous exercise. The adult males were randomly assigned to use either a new elliptical machine (Experimental Group) or a traditional treadmill machine (Control Group).
What conclusion about the difference between the distributions of the heart rates for these two
groups can be drawn? Justify your answer.

8. Part B: After the participants worked out three times per week for four weeks solely on their assigned machines, participants’ heart rates were collected again after 20 minutes of continuous exercise. The data are shown in the histograms.
What conclusion about the difference between the distributions of the heart rates for the two groups can be drawn? Justify your answer.
Based upon these data, what conclusion about exercise machines in general can be made?

9. A normal distribution has a mean of 92 and a standard deviation of 6
A normal distribution has a mean of 92 and a standard deviation of 6. What percentage of the population lies between 80 and 104?
99.7%
95 %
68 %
47.5%

10. At a certain hospital, the mean length of newborn babies is 16 inches, and the standard deviation is 0.75 inch. If the length of newborn babies follows a normal distribution, about what percentage of newborn babies are longer than inches?

11. A business owner wants to know whether to buy property near the location of a proposed movie theater. She wants to poll local residents to see whether they plan to vote for or against the building of the theater.
Which sample would yield the most reliable results?
Call 50 randomly selected people from a list of registered voters.
Call 50 randomly selected people who live within 1 mile of the proposed location.
Call 150 randomly selected people who live within 1 mile of the proposed location.
Call 150 randomly selected people from the town who work in the construction industry.

12. For a random sample of 80 journalists, the mean annual income is $48,000, with a sample standard deviation of $850.
Assuming a 95% confidence level, what is the margin of error?

13. A doctor asked a random sample of 200 of his patients, “Do you eat breakfast every day?” The results show that 181 patients answered “yes,” 10 patients answered “no,” and 9 patients were not sure.
Based on the survey results, what is the best estimate for the percentage of all the doctor’s patients who eat breakfast every day?

14. A health care organization wants to know how many people in a neighborhood are likely to volunteer to donate blood.
Which sample would be most representative of the entire neighborhood?
100 people selected at random from those who have volunteered for community service activities.
100 people selected at random from a list of all neighborhood households
All people who donated blood at the last drive
All health care professionals who live in the neighborhood

15. 2000 freshmen at State University took a biology test
2000 freshmen at State University took a biology test. The scores were distributed normally with a mean of 70 and a standard deviation of 5. Label the mean and three standard deviations from the mean.

16. A quiz in math class consisted of 5 true/false questions
A quiz in math class consisted of 5 true/false questions. Only 4 out of 30 students in Mr. Ryder’s class got all 5 questions correct. Mr. Ryder used a simulation of flipping a coin to represent the results of his class quiz. He used heads to represent a correct answer and tails to represent an incorrect answer. He flipped 5 coins to represent the 5 problems on the quiz and recorded the number of heads in each group of 5 coins. He repeated the simulation 100 times and recorded the results in this table.
Which conclusion is supported by the data for the class and the simulation?
The simulation model is consistent with the class data because in both the observed class results and the simulation model the result of all heads on all 5 problems correct was 4.
The simulation model is consistent with the class data because each coin flipped and each question on the test had only two outcomes and an equal chance of getting either outcome.
The simulation model is not consistent with the class data because there are 30 students in the class and there were 100 samples in the coin simulation.
The simulation model is not consistent with the class data because the observed class results had 13% of the students with all 5 problems correct, and the simulation model only had 4% of the samples with all 5 heads.