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The average salary in this city is $47,800. Is the average different for single people? 48 randomly selected single people who were surveyed had an average salary of $45,767 and a standard deviation of $7,220. The average number of cavities that thirty-year-old Americans have had in their lifetimes is 6. Do twenty- What can be concluded at the a = 0.01 level of significance? year-olds have fewer cavities? The data show the results of a survey of 11 twenty-year-olds who were aske how many cavities they have had. Assume that the distribution of the population is normal. a. For this study, we should use |Select an answer 5, 4, 5, 3, 4, 3, 4, 6, 5, 6, 7 b. The null and alternative hypotheses would be: What can be concluded at the a = 0.05 level of significance? Ho: ? v Select an answer v a. For this study, we should use |Select an answer b. The null and alternative hypotheses would be: H1: 2 v Select an answer v Ho: ? v Select an answer v . The test statistic |? v = (please show your answer to 3 decimal places.) H1: 2 Select an answer d. The p-value = (Please show your answer to 4 decimal places.) c. The test statistic ? = (Round intermeidate calculations to 2 decimal places. Please show e. The p-value is |? v a your answer to 3 decimal places.) . Based on this, we should |Select an answer v ] the null hypothesis. d. The p-value = (Using the rounded test statistic, please show your answer to 4 decimal g. Thus, the final conclusion is that ... places.) The data suggest that the populaton mean is significantly different from 47,800 at a = 0.01, e. The p-value is ? a so there is statistically significant evidence to conclude that the population mean salary for f. Based on this, we should |Select an answer | the null hypothesis. singles is different from 47,800. g. Thus, the final conclusion is that . The data suggest that the population mean is not significantly different from 47,800 at a = The data suggest that the population mean number of cavities for twenty-year-olds is not significantly less than 6 at o = 0.05, so there is insufficient evidence to conclude that the 0.01, so there is statistically insignificant evidence to conclude that the population mean population mean number of cavities for twenty-year-olds is less than 6. salary for singles is different from 47,800. The data suggest the population mean is not significantly less than 6 at a = 0.05, so there is The data suggest that the sample mean is not significantly different from 47,800 at a = 0.01, sufficient evidence to conclude that the population mean number of cavities for twenty-year- so there is statistically insignificant evidence to conclude that the sample mean salary for olds is equal to 6. singles is different from 45,767. The data suggest the populaton mean is significantly less than 6 at a = 0.05, so there is sufficient evidence to conclude that the olds is less than 6. that the population mean number of cavities for twenty-year- h. Interpret the level of significance in the context of the study. h. Interpret the level of significance in the context of the study If the population mean salary for singles is $47,800 and if another 48 singles are surveyed then than 6. There is a 5% chance that the population mean number of cavities for twenty-year-olds is less there would be a 1% chance that we would end up falsely concluding that the population mean salary for singles is different from $47,800. There is a 5% chance that flossing will take care of the problem, so this study is not necessary There is a 1% chance that the population mean salary for singles is different from $47,800. If the population mean number of cavities for twenty-year-olds is 6 and if you survey another 11 twenty-year-olds, thenumber ear-olds, then there would be a 5% chance that we would end up falsely concuding If the population population mean salary for singles is different from $47,800 and if another 48 that the population mean number of cavities for twenty-year-olds is less than 6. singles are surveyed then there would be a 1% chance that we would end up falsely concluding if the population mean number of cavities for twenty-year-olds is less than 6 and if you survey that the population mean salary for singles is equal to $47,800. another 11 twenty-year-olds, then there would be a 5% chance that we would end up falsely There is a 1% chance that you won the lottery, so you may not have to even have to worry about passing this class. Testing: Ho: M = 33.37 C H1:1 # 33.37 Your sample consists of 20 subjects, with a mean of 35.1 and standard deviation of 4.46. Calculate the test statistic, rounded to 3 decimal places. t =