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 16 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 6, 4, 4, 3, 3, 6, 6, 4, 4, 5, 4, 4, 4, 5, 5, 4 What can be concluded at the a = 0.01 level of significance? a. For this study, we should use t-test for a population mean v b. The null and alternative hypotheses would be: Ho: HVVE v H1 : HV V K c. The test statistic t = (please show your answer to 3 decimal places.) d. The critical value = - v (Please show your answer to 3 decimal places.) e. The test statistic is not vy in the rejection region. f. Based on this, we should fail to reject vy the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly less than 5 at a = 0.01, so there is sufficient 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 a = 0.01, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is equal to 5. The data suggest that the population mean number of cavities for twenty-year-olds is not significantly less than 5 at a = 0.01, so there is insufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is less than 5. Question Help: Message instructor Submit