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Home Question Bank Math Statistics Archive 2024 November 30

Statistics Questions from Nov 30,2024

Browse the Statistics Q&A Archive for Nov 30,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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A manufacturer fills soda bottles. Periodically the company tests to see if there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola. A random sample of 12 bottles of regular cola has a mean of 502.4 mL of soda with a standard deviation of 3.8 mL . A random sample of 15 bottles of diet cola has a mean of 499.8 mL of soda with a standard deviation of 4.6 mL . Test the claim that there is a difference between the mean fill levels for the two types of soda using a 0.10 level of significance. Assume that both populations are approximately normal and that the population variances are not equal since different machines are used to fill bottles of regular cola and diet cola. Let bottles of regular cola be Population 1 and let bottles of diet cola be Population 2 . Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. \[ H_{0}: \mu_{1}=\mu_{2} \] Find the standard deviation for the following group of data items. \[ 29,32,32,38 \] The standard deviation is approximately (Round to two decimal places as needed.) 1. Discuss when a pictograph might be more appropriate than a circle graph. b. Discuss when a circle graph might be more appropriate than a bar graph. c. Give an example of a set of data for which a stem and leaf plot would be more informative than a histogram. 2. Explain whether a circle graph would change if the amount of data in each category were doubled. 3. Explain why the sum of the percents in a circle graph should be \( 100 \% \). How could it happen that the sum is only close to \( 100 \% \) ? 4. The federal budget for one year is typically depicted with one type of visual representation. Which one is 1 sed and why? 5. Read about basic ideas of statistics in Common Core Standards for grades \( 3-5 \), and discuss why students at these grade levels should be studying data analysis. 6. Choose a grade and design a grade-appropriate question that students could investigate using statistics. 7. A student asks if the precision with which manufacturers must calibrate their tools is at all related to statistics. How do you respond? 8. Lucas asks what an exit poll is and whether exit polls are effective at predicting results in an election. What do you tell him? kric asks about the taste-testers a popular pizza restaurant chain employs. He wants to related to statistics. How do you respond?
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