Statistics in Everyday Life
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Questions and Answers

What percent of refrigerator models will last from 13 to 17 years?

  • 0.6164
  • 0.5164
  • 0.7164
  • 0.8164 (correct)

    • What is the statistic of interest in the research about Mentos mints in diet soda?

    10.17 feet, the average height of the geyser for the 50 sodas sampled.

    What percentage of the population of all counties besides Los Angeles is within one standard deviation of the mean?

  • About 95.44%
  • About 95%
  • About 68% (correct)
  • About 50%

    • Who did better relative to their track among the race horses Cape Blanco, Gio Ponti, Main Sequence, and Wise Dan?

    <p>Gio Ponti</p> Signup and view all the answers

    Which response describes the treatment, treatment group, and control group regarding the medicine given to patients?

    <p>Treatment: take a medicine twice a day; Treatment group: 100 patients taking fake medicine; Control: 100 patients taking real medicine.</p> Signup and view all the answers

    What can Carlene use the statistic she calculated from her random sample to draw an inference about?

    <p>The corresponding population parameter</p> Signup and view all the answers

    Is the sampling method employed by Netflix biased or not, and why?

    <p>The sample is not biased. It's a random sample.</p> Signup and view all the answers

    Based on the survey results, which statements are correct regarding the proportion of employees at the corporation who have pets?

    <p>The value of the statistic of interest is 0.64.</p> Signup and view all the answers

    What is the z-score for 7.90 oz of tomato sauce with a mean of 8.15 oz and standard deviation of 0.07 oz?

    <p>-3.5714</p> Signup and view all the answers

    What is the best sampling method to select 45 residents for a community interview?

    <p>Randomly select 45 residents through a drawing from which all residents of the community were entered.</p> Signup and view all the answers

    What is the best sampling method to select 40 staff members for an upcoming interview?

    <p>Randomly select 40 staff members through a drawing from which all hospital staff members were entered.</p> Signup and view all the answers

    What is the sample proportion of students who don't participate in senior skip day?

    <p>0.325</p> Signup and view all the answers

    Who did better relative to their class among Rene, Marissa, Jihad, and Bob?

    <p>Jihad</p> Signup and view all the answers

    What type of data collection method is used in the focus group meeting with randomly selected Republicans?

    <p>Sample Survey</p> Signup and view all the answers

    What proportion of students had a higher score than Saul, who earned a score of 140 on the Multistate Bar Examination?

    <p>0.1379</p> Signup and view all the answers

    What is the problem associated with data collection in the SAT scores for Mathematics?

    <p>Primarily the very satisfied or the very dissatisfied customers will respond to the survey.</p> Signup and view all the answers

    What is the z-score for 1.98 liters of soda with a mean of 2.05 liters and a standard deviation of 0.1 liters?

    <p>-0.7000</p> Signup and view all the answers

    According to the College Board, a score of 632 on the SAT represents what in relation to the mean of 514?

    <p>A score that is one standard deviation above the mean.</p> Signup and view all the answers

    What type of data collection represents the study investigating if men are better at math than women?

    <p>Experiment</p> Signup and view all the answers

    Study Notes

    Refrigerators Life Expectancy

    • Normal distribution of refrigerator lifespans with a mean of 15 years and a standard deviation of 1.5 years.
    • Approximately 81.64% of refrigerator models last between 13 to 17 years.

    Soda Geyser Experiment

    • The average height of a soda geyser caused by Mentos is claimed to be 8.75 feet.
    • A sample of 50 bottles showed an average geyser height of 10.17 feet, which is the statistic of interest.

    California County Populations

    • Mean population (excluding Los Angeles) is 503,260 with a standard deviation of 154,881.
    • About 68% of county populations lie within one standard deviation from the mean.

    Racehorse Speed Comparison

    • Cape Blanco, Gio Ponti, Main Sequence, and Wise Dan had varied speeds in races.
    • Gio Ponti performed better relative to his track among the four horses.

    Medicine Study on Cholesterol

    • Treatment involves taking a medicine twice daily; one group took real medication, while another took a placebo.
    • The treatment group received the real medicine, while the control group received the placebo.

    Sample Statistic and Population Parameter

    • Carlene's sample statistic can infer the corresponding population parameter.

    Audience Opinion Survey

    • Netflix researchers emailed surveys to subscribers who watched at least 25% of the new season.
    • This sampling method is not biased, as it represents a random sample of viewers.

    Employee Pets Survey

    • The parameter is the proportion of employees with pets, while the exact value is unknown.
    • The statistic of interest is 0.64, representing the observed proportion.

    Tomato Sauce Distribution

    • The amount in an 8 oz. can is normally distributed with a mean of 8.15 oz. and a standard deviation of 0.07 oz.
    • The z-score for 7.90 oz. is calculated at -3.5714.

    Community Residents Interview Sampling

    • A random selection from all community residents ensures representative views for interviews about local services.

    Hospital Staff Interview Sampling

    • Randomly selecting 40 staff members from all hospital staff provides an unbiased sample for discussing policy changes.

    Senior Skip Day Participation

    • The sample proportion of students who didn’t participate in senior skip day is 0.325.

    Class Performance Comparison

    • Among students Rene, Marissa, Jihad, and Bob, Jihad performed better relative to his class.

    Republican Candidate Perception Data Collection

    • Focus group discussions with randomly selected republicans represent a sample survey method.

    Multistate Bar Examination Scores

    • Saul scored 140 on the exam while the mean was 123 with a standard deviation of 15.6.
    • Approximately 13.79% of students scored higher than Saul.

    Gender in Math Study Experiment

    • A study compared performance between randomly selected men and women on different math exams.
    • It introduces the issue of different subjects being tested for each gender.

    Controlling for Gender in Experiments

    • To control for gender as a potential confounding variable, randomly assign treatments to males and females separately after selection.

    SAT Mathematics Scores

    • The mean SAT score for mathematics is 514, with a standard deviation of 118.
    • A score of 632 is one standard deviation above the mean.

    Soda Bottle Distribution

    • The amount of soda in a 2-liter bottle is normally distributed with a mean of 2.05 liters and a standard deviation of 0.1 liters.
    • The z-score for 1.98 liters is calculated at -0.7000.

    Customer Satisfaction Survey Issues

    • Amazon's survey may be biased as primarily very satisfied or very dissatisfied customers are likely to respond.

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    Description

    Explore the practical applications of statistics in various scenarios, including refrigerator life expectancy, soda geyser experiments, and more. This quiz will test your knowledge of normal distributions, sample means, and comparisons. Perfect for anyone interested in understanding how statistics shape our daily decisions and observations.

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