Use this information for questions 32 through 38. Brush your teeth for two minutes (120 seconds), twice a day, says the American Dental Association (ADA). This will keep your teeth in top form. Brushing your teeth and tongue with a so-bristled toothbrush and uoride toothpaste cleans food and bacteria from your mouth. Over the course of a recent semester, the Math 1530 survey asked students, "How long do you brush your teeth (In seconds)?" Here are summary statistics for the survey data. Descriptive Statistics: BRUSH TEETH TIME Statistics Variable N N" Mean SEMean StDev Minimum Q1 Median Q3 Maximum BRUSH TEETH TIME 567 0 94.90 1.83 43.47 20.00 60.00 90.00 120.00 480.00 Is there evidence to suggest that the mean brushing teeth time for ETSU students differs from the ADA recommended average brush time of 120 seconds? Use O( = 0.05. Here is some appropriate Minitab output. Read carefully. One-Sample T: BRUSH TEETH TIME One-Sample T: BRUSH TEETH TIME Descriptive Statistics Descriptive Statistics 95% Upper Bound N Mean StDev SE Mean 95% Cl for u N Mean StDev SE Mean for u 567 94.90 43.47 1.83 (91.31, 98.49) 567 94.90 43.47 1.83 97.91 H: population mean of BRUSH TEETH TIME H: population mean of BRUSH TEETH TIME Test Test Null hypothesis Ho: H = 120 Null hypothesis Ho: H = 120 Alternative hypothesis H,: ul # 120 Alternative hypothesis H,: u 120 T-Value P-Value T-Value P-Value -13.75 1.000 -0.00 1.000\fQuestion 32 (1 point) This problem calls for conducting a statistical analysis for inference about the mean. Should we have any concerns about using the indicated data for this purpose? 0 No, there is a slight skewness in the distribution of brush teeth time and a few outliers but the sample size is very large. Also, it is reasonable to assume that this sample of students should represent all students from ETSU. 0 Yes, the distribution of brush times is strongly skewed right and the sample size is small. We need to be careful with our conclusions based on any statistical analyses. 0 No, the distribution is bell-shaped and the sample was randomly selected using the survey tool. 0 Yes, since we do not know the population standard deviation, 0', we are unable to use the z-procedures for inference about the mean. Question 33 (1 point) Which of the following is the correct null and alternative hypotheses for the test? OHo: H = 120 VS. Ha : [ # 120 OHo: X = 120 VS. Ha : x # 120 OHo: X = 94.9 VS. Ha : X > 94.9 OHo: = 120 VS. Ha : # 120 OHo: H # 120 VS. Ha : | = 120 OHo: H = 120 VS. Ha : [ > 120Question 34 (1 point) What is the value of the test statistic? ;] Question 35 (1 point) The P-value is closest to which of the following values? Question 36 (1 point) Which of the following is the correct conclusion of this analysis? 0 There is strong evidence (p-value z 0) that, on average, the time ETSU students brush their teeth differs from the 120 seconds that is recommended from the ADA. O Reject the null hypothesis and conclude that the mean brush time for ETSU students doesn't differ from 120 seconds. Q There is insufficient evidence to suggest that the brush teeth time for ETSU students differs from the 120 seconds. 0 Since the mean brush time is about 95 seconds for ETSU students, the results are statistically significant from 120 seconds. 0 Reject H0 and conclude the mean brush time for ETSU students is less than the 120 seconds since the P-value is smaller than 0! and the t-statistic is negative. Q Do not reject H0 since the P-value is smaller than at . Question 37 (2 points) A 95% confidence interval for the population mean, [1 is (Blank 1, Blank 2)_ Report your answers to 2 decimal places (xx.xx in blank 1 and xx.xx in blank 2). Question 38 (1 point) Which of the following interprets the 95% confidence interval you found in the previous problem? 0 We are 95% confident that 3-C- is in the interval found. Q We are 95% confident that the mean brush time for all students is in the interval found. O 95% of the students brush their teeth in the confidence interval computed. Q There is a 5% chance that the mean brush time for the students in the sample is not in the interval found. O There's a 95% chance the mean brush time is between the values of the interval found. Q We are 95% confident that we rejected the null hypothesis. We are confident in our statistical test