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he average number of cavities that thirty-year-old Americans have had in their lifetimes is 8.  Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 15 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 6, 10, 6, 9, 8, 7, 5, 10, 6, 8, 10, 4, 8, 4, 6 The null and alternative hypotheses would be:       H0::  ? μ p Correct Select an answer = ≠ < >             H1: ? μ p Correct Select an answer ≠ > = <       The p-value =  (Please show your answer to 4 The p-value is ? > ≤  α   Interpret the p-value in the context of the study. If the population mean number of cavities for twenty-year-olds is 8 and if you survey another 15 twenty-year-olds, then there would be a 12.64547596% chance that the sample mean for these 15 twenty-year-olds would either be less than 7.13 or greater than 8.87. There is a 12.64547596% chance of a Type I error. There is a 12.64547596% chance that the population mean number of cavities for twenty-year-olds is not equal to 8. If the population mean number of cavities for twenty-year-olds is 8 and if you survey another 15 twenty-year-olds then there would be a 12.64547596% chance that the population mean would either be less than 7.13 or greater than 8.87. Interpret the level of significance in the context of the study. There is a 5% chance that flossing will take care of the problem, so this study is not necessary. If the population mean number of cavities for twenty-year-olds is different from 8 and if you survey another 15 twenty-year-olds, then there would be a 5% chance that we would end up falsely concuding that the population mean number of cavities for twenty-year-olds is equal to 8. If the population mean number of cavities for twenty-year-olds is 8 and if you survey another 15 twenty-year-olds, then there would be a 5% chance that we would end up falsely concuding that the population mean number of cavities for twenty-year-olds is different from 8. There is a 5% chance that the population mean number of cavities for twenty-year-olds is different from 8.

- October 10, 2022 - Edwin Tunner

he average number of cavities that thirty-year-old Americans have had in their lifetimes is 8.  Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 15 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal.

6, 10, 6, 9, 8, 7, 5, 10, 6, 8, 10, 4, 8, 4, 6

  1. The null and alternative hypotheses would be:     

 H0::  ? μ p Correct Select an answer = ≠ < >    

 

  

 

 H1: ? μ p Correct Select an answer ≠ > = <    

 

The p-value =  (Please show your answer to 4

The p-value is ? > ≤  α

 

  1. Interpret the p-value in the context of the study.
    • If the population mean number of cavities for twenty-year-olds is 8 and if you survey another 15 twenty-year-olds, then there would be a 12.64547596% chance that the sample mean for these 15 twenty-year-olds would either be less than 7.13 or greater than 8.87.
    • There is a 12.64547596% chance of a Type I error.
    • There is a 12.64547596% chance that the population mean number of cavities for twenty-year-olds is not equal to 8.
    • If the population mean number of cavities for twenty-year-olds is 8 and if you survey another 15 twenty-year-olds then there would be a 12.64547596% chance that the population mean would either be less than 7.13 or greater than 8.87.
  2. Interpret the level of significance in the context of the study.
    • There is a 5% chance that flossing will take care of the problem, so this study is not necessary.
    • If the population mean number of cavities for twenty-year-olds is different from 8 and if you survey another 15 twenty-year-olds, then there would be a 5% chance that we would end up falsely concuding that the population mean number of cavities for twenty-year-olds is equal to 8.
    • If the population mean number of cavities for twenty-year-olds is 8 and if you survey another 15 twenty-year-olds, then there would be a 5% chance that we would end up falsely concuding that the population mean number of cavities for twenty-year-olds is different from 8.
    • There is a 5% chance that the population mean number of cavities for twenty-year-olds is different from 8.

 

 

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