The average number of cavities that thirty-year-old Americans have had in their lifetimes is 6. Do twenty- year-olds have a different nurmber of cavities? The data show the results of a survey of 13 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is nomal. 3, 5, 5, 6, 3, 3, 5, 5, 4, 5, 6, 5, 7 What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?vSelect an answerv H: ?vSelect an answerv c. The test statistic ?v = (please show your answer to 3 decimal places.)

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The average number of cavities that thirty-year-old Americans have had in their lifetimes is 6. Do twenty-
year-olds have a different number of cavities? The data show the results of a survey of 13 twenty-year-olds
who were asked how many cavities they have had. Assume that the distribution of the population is
nomal.
3, 5, 5, 6, 3, 3, 5, 5, 4, 5, 6, 5, 7
What can be concluded at the a = 0.01 level of significance?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Hn: ?vSelect an answerv
H: ?vSelect an answerv
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.)
e. The p-value is ?va
f. Based on this, we should Select an answerv the null hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest the populaton mean is significantly different from 6 at a = 0.01, so there is
sufficient evidence to conclude that the population mean number of cavities for twenty-year-
olds is different from 6.
O The data suggest that the population mean number of cavities for twenty-year-olds is not
significantly different from 6 at a = 0.01, so there is insufficient evidence to conclude that the
population mean number of cavities for twenty-year-olds is different from 6.
O The data suggest the population mean is not significantly different from 6 at a = 0.01, so
there is sufficient evidence to conclude that the population mean number of cavities for
twenty-year-olds is equal to 6.
h. Interpret the p-value in the context of the study.
O There is a 0.36950232% chance of a Type I error.
O If the population mean number of cavities for twenty-year-oids is 6 and if you survey another
13 twenty-year-olds, then there would be a 0.36950232% chance that the sample mean for
these 13 twenty-year-olds would either be less than 4.77 or greater than 7.23.
Transcribed Image Text:The average number of cavities that thirty-year-old Americans have had in their lifetimes is 6. Do twenty- year-olds have a different number of cavities? The data show the results of a survey of 13 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is nomal. 3, 5, 5, 6, 3, 3, 5, 5, 4, 5, 6, 5, 7 What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Hn: ?vSelect an answerv H: ?vSelect an answerv 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.) e. The p-value is ?va f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly different from 6 at a = 0.01, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is different from 6. O The data suggest that the population mean number of cavities for twenty-year-olds is not significantly different from 6 at a = 0.01, so there is insufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is different from 6. O The data suggest the population mean is not significantly different from 6 at a = 0.01, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is equal to 6. h. Interpret the p-value in the context of the study. O There is a 0.36950232% chance of a Type I error. O If the population mean number of cavities for twenty-year-oids is 6 and if you survey another 13 twenty-year-olds, then there would be a 0.36950232% chance that the sample mean for these 13 twenty-year-olds would either be less than 4.77 or greater than 7.23.
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