The average number of cavities that thirty-year-old Americans have had in their lifetimes is 4. Bo twenty-year-olds have a different number of cavities? The data show the results of a survey of 11 twenty- year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 2, 5, 3, 2, 5, 3, 5, 2, 2, 2, 4 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: Ho: ? vSelect an answer H: vlSelect an answer v c. The test statistic (please show your answer to 3 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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The average number of cavities that thirty-year-old Americans have had in their lifetimes is 4. Do
twenty-year-olds have a different number of cavities? The data show the results of a survey of 11 twenty-
vear-olds who were asked how many cavities they have had. Assume that the distribution of the
population is normal.
2, 5, 3, 2, 5, 3, 5, 2, 2, 2, 4
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:
ns
Ho: ? vSelect an answer v
re
H: ? v Select an answer
c. The test statistic 2 v =
(please show your answer to 3 decimal places.)
urse
d. The p-value =
e. The p-value is ? va
f. Based on this, we should Select an answer v the null hypothesis.
g. Thus, the final conclusion is that...
(Please show your answer to 4 decimal places.)
O The data suggest that the population mean number of cavities for twenty-year-olds is not
significantly different from 4 at a = 0.05, so there is insufficient evidence to conclude that
the population mean number of cavities for twenty-year-olds is different from 4.
O The data suggest the populaton mean is significantly different from 4 at a = 0.05, so there
is sufficient evidence to conclude that the population mean number of cavities for twenty-
year-olds is different from 4.
O The data suggest the population mean is not significantly different from 4 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 4.
h. Interpret the p-value in the context of the study.
O If the population mean number of cavities for twenty-year-olds is 4 and if you survey another
11 twenty-year-olds, then there would be a 6.82643576% chance that the sample mean for
these 11 twenty-year-olds would either be less than 3.18 or greater than 4.82.
O There is a 6.82643576% chance of a Tyne Lerror.
here to search
Transcribed Image Text:The average number of cavities that thirty-year-old Americans have had in their lifetimes is 4. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 11 twenty- vear-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 2, 5, 3, 2, 5, 3, 5, 2, 2, 2, 4 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: ns Ho: ? vSelect an answer v re H: ? v Select an answer c. The test statistic 2 v = (please show your answer to 3 decimal places.) urse d. The p-value = e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that... (Please show your answer to 4 decimal places.) O The data suggest that the population mean number of cavities for twenty-year-olds is not significantly different from 4 at a = 0.05, so there is insufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is different from 4. O The data suggest the populaton mean is significantly different from 4 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for twenty- year-olds is different from 4. O The data suggest the population mean is not significantly different from 4 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 4. h. Interpret the p-value in the context of the study. O If the population mean number of cavities for twenty-year-olds is 4 and if you survey another 11 twenty-year-olds, then there would be a 6.82643576% chance that the sample mean for these 11 twenty-year-olds would either be less than 3.18 or greater than 4.82. O There is a 6.82643576% chance of a Tyne Lerror. here to search
h. Interprêt the p-Value ih thể context of the Stua
O If the population mean number of cavities for twenty-year-olds is 4 and if you survey another
11 twenty-year-olds, then there would be a 6.82643576% chance that the sample mean for
these 11 twenty-year-olds would either be less than 3.18 or greater than 4.82.
OThere is a 6.82643576% chance of a Type I error.
O There is a 6.82643576% chance that the population mean number of cavities for twenty-year-
olds is not equal to 4.
O If the population mean number of cavities for twenty-year-olds is 4 and if you survey another
11 twenty-year-olds then there would be a 6.82643576% chance that the population mean
would either be less than 3.18 or greater than 4.82.
i. Interpret the level of significance in the context of the study.
O There is a 5% chance that the population mean number of cavities for twenty-year-olds is
different from 4.
O If the population mean number of cavities for twenty-year-olds is 4 and if you survey another
11 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 4.
OIif the population mean number of cavities for twenty-year-olds is different from 4 and if you
survey another 11 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
4.
O There is a 5% chance that flossing will take care of the problem, so this study is not
necessary.
Submit Question
earch
OIM
R
U
Transcribed Image Text:h. Interprêt the p-Value ih thể context of the Stua O If the population mean number of cavities for twenty-year-olds is 4 and if you survey another 11 twenty-year-olds, then there would be a 6.82643576% chance that the sample mean for these 11 twenty-year-olds would either be less than 3.18 or greater than 4.82. OThere is a 6.82643576% chance of a Type I error. O There is a 6.82643576% chance that the population mean number of cavities for twenty-year- olds is not equal to 4. O If the population mean number of cavities for twenty-year-olds is 4 and if you survey another 11 twenty-year-olds then there would be a 6.82643576% chance that the population mean would either be less than 3.18 or greater than 4.82. i. Interpret the level of significance in the context of the study. O There is a 5% chance that the population mean number of cavities for twenty-year-olds is different from 4. O If the population mean number of cavities for twenty-year-olds is 4 and if you survey another 11 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 4. OIif the population mean number of cavities for twenty-year-olds is different from 4 and if you survey another 11 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 4. O There is a 5% chance that flossing will take care of the problem, so this study is not necessary. Submit Question earch OIM R U
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