Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

The average number of cavities that thirty-year-old Americans have had in their lifetimes is 6. Do twenty- year-olds have more cavities? The data show the

image text in transcribed
The average number of cavities that thirty-year-old Americans have had in their lifetimes is 6. Do twenty- year-olds have more cavities? The data show the results of a survey of 12 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 8, 8, 7, 5, 7, 6, 9, 8, 6, 6, 6, 8 What can be concluded at the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: [2 v Select an answer V H1: 2 v Select an answer . The test statistic ? = (please show your answer to 3 decimal places. d. The p-value = (Please show your answer to 4 decimal places.) . The p-value is ? va f. Based on this, we should Select an answer \\ the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 6 at a = 0. 10, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is more than 6. The data suggest the population mean is not significantly more than 6 at a = 0.10, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is equal to 6. The data suggest that the population mean number of cavities for twenty-year-olds is not significantly more than 6 at a = 0.10, so there is insufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is more than 6. h. Interpret the p-value in the context of the study. If the population mean number of cavities for twenty-year-olds is 6 and if you survey another 12 twenty-year-olds then there would be a 0.75897232% chance that the population mean number of cavities for twenty-year-olds would be greater than 6. If the population mean number of cavities for twenty-year-olds is 6 and if you survey another 12 twenty-year-olds then there would be a 0.75897232% chance that the sample mean for these 12 twenty-year-olds would be greater than 7. There is a 0.75897232% chance of a Type | error. There is a 0.75897232% chance that the population mean number of cavities for twenty-year- olds is greater than 6. . Interpret the level of significance in the context of the study. There is a 10% chance that the population mean number of cavities for twenty-year-olds is more than 6. There is a 10% 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 more than 6 and if you survey another 12 twenty-year-olds, then there would be a 10% chance that we would end up falsely concuding that the population mean

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Probability And Statistical Inference

Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

10th Edition

013518939X, 978-0135189399

More Books

Students also viewed these Mathematics questions

Question

3. Provide time for independent and extended projects.

Answered: 1 week ago