The average number of cavities that thirty-year-old Americans have had in their lifetimes is 5. Do twentyyear-olds have fewer cavities? The data show the results of a survey of 15 twenty-year-olds who were askedhow many cavities they have had. Assume that the distribution of the population is normal.3, 4, 4, 4, 5, 5, 6, 4, 5, 4, 3, 5, 6, 5, 3What can be concluded at the a = 0.05 level of significance?a. For this study, we should use Select an answerb. The null and alternative hypotheses would be:Ho: ? v|| Select an answerH: ?vSelect an answer vc. The test statistic ?(please show your answer to 3 decimal places.)d. The p-value =(Please show your answer to 4 decimal places.)e. The p-value is ? vaf. Based on this, we should Select an answer v the null hypothesis.g. Thus, the final conclusion is that ...O The data suggest the populaton mean is significantly less than 5 at o =- 0.05, so there issufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is less than 5.The data suggest the population mean is not significantly less than 5 at c = 0.05, so there issufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is equal to 5.cavities for twenty-year-olds is notO The data suggest that the population mean numbersignificantly less than 5 at a = 0.05, so there is insufficient evidence to conclude that thepopulation mean number of cavities for twenty-year-olds is less than 5.h. Interpret the p-value in the context of the study.If the population mean number of cavities for twenty-year-olds is 5 and if you survey another15 twenty-year-olds, then there would be a 1.6733711% chance that the population meannumber of cavities for twenty-year-olds would be less than 5.OIf the population mean number of cavities for twenty-year-olds is 5 and if you survey another15 twenty-year-olds, then there would be a 1.6733711: chance that the sample mean for these15 twenty-year-olds woutd be less than 4.4.There is a 1.6733711 chance that the population mean number of cavities for twenty-year-

Name: The average number of cavities that thirty-year-old Americans have ha
Uploaded: 2024-03-20T07:07:12.000Z
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Description: The average number of cavities that thirty-year-old Americans have had in their lifetimes is 5. Do twentyyear-olds have fewer cavities? The data show the results of a survey of 15 twenty-year-olds who were askedhow many cavities they have had. Assum

Given data is3,4,4,4,5,5,6,4,5,4,3,5,6,5,3from given data n=15x=4.4s=0.9856α=0.05

Math

Statistics

The average number of cavities that thirty-year-old Americans have had in their lifetimes is 5. Do twenty- year-olds have fewer 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. 3, 4, 4, 4, 5, 5, 6, 4, 5, 4, 3, 5, 6, 5, 3 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Họ: ? Select an answer v H: ?v|| Select an answer v c. The test statistic ?v= (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.) %3D e. The p-value is ? f. Based on this, we should | Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly less than 5 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is less than 5. O The data suggest the population mean is not significantly less than 5 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is equal to 5. O The data suggest that the population mean number of cavities for twenty-year-olds is not significantly less than 5 at a = 0.05, so there is insufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is less than 5. h. Interpret the p-value in the context of the study. OIf the population mean number of cavities for twenty-year-olds is 5 and if you survey another 15 twenty-year-olds, then there would be a 1.6733711% chance that the population mean number of cavities for twenty-year-olds would be less than 5. If the population mean number of cavities for twenty-year-olds is 5 and if you survey another 15 twenty-year-olds, then there would be a 1.6733711% chance that the sample mean for these 15 twenty-year-olds would be less than 4.4.