M Math 1025 Wk 15: Practice Qu x Math 1025 Wk 15: Practice Qu X + webassign.net/web/Student/Assignment-Responses/last?dep=33455657#Q5 -> Career C School Use the sample test statistic to compute the distribution value. (Round your answer to two decimal places.) -2.03 (d) Find the P-value. (Round your answer to four decimal places.) P-value = Sketch the sampling distribution and show the area corresponding to the P-value. Fri Apr 19 9:20 AM U Relaunch to update : -3-2 -1 0 1 2 3 -3 -2 -1 0 1 2 3 O-3-2-1 0 1 2 3 -3 -2 -1 0 0 1 1 2 3 O APR 19 ZOOM G tv GO P W NEW areer C Math 1025 Wk 15: Practice Qu Math 1025 Wk 15: Practice Qu X webassign.net/web/Student/Assignment-Responses/last?dep=33455657#Q5 School Relaunch to update: Based on information in Statistical Abstract of the United States (116th edition), the average annual miles driven per vehicle in the United States is 11.1 thousand miles, with = 600 miles. Suppose that a random sample of 37 vehicles owned by residents of Chicago showed that the average mileage driven last year was 10.9 thousand miles. Does this indicate that the average miles driven per vehicle in Chicago is different from (higher or lower than) the national average? Use a 0.05 level of significance. (a) What are we testing in this problem? O a paired difference a single mean O a difference of proportions a difference of means O a single proportion (b) What is the level of significance? 0.05 State the null and alternate hypotheses (in thousands of miles). (Enter != for as needed.) Ho: M=11.1 == H: u!= 11.1 000 (c) What sampling distribution will you use? What assumptions are you making? We'll use the Student's t. Since the sample size is sufficiently large we only need to assume the data are a random sample from the relevant population. O We'll use the standard normal. Since the sample size is sufficiently large we only need to assume the data are a random sample from the relevant population. We'll use the standard normal. Since the sample size is not sufficiently large we need to assume the data are a random sample from the relevant population and that the population distribution is at least mound shaped. O We'll use the Student's t. Since the sample size is not sufficiently large we need to assume the data are a random sample from the relevant population and that the population distribution at least mound shaped. Use the sample test statistic to compute the distribution value. (Round your answer to two decimal places.) -2.03 APR 1 19 tv 1 ZOOM AG W NEW DI School U Relaunch to update Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that the professor has underestimated the number of students with part-time or full-time jobs. A random sample of 84 students shows that 40 have jobs. Do the data indicate that more than 35% of the students have jobs? (Use a 5% level of significance.) USE SALT (a) What are we testing in this problem? a single proportion a paired difference a difference of means a difference of proportions O a single mean (b) What is the level of significance? 0.05 State the null and alternate hypotheses. (Enter != for as needed.) == Ho: P 0.35 H p > 0.35 (c) What sampling distribution will you use? What assumptions are you making? We'll use the standard normal. We'll assume that a binomial experiment is an appropriate model for the probability distribution of the number of students in the sample with jobs and that the number of students in the sample is not too large so that we can use the normal approximation. We'll use the Student's t. We'll assume that a normal distribution is an appropriate model for the probability distribution of the number of students in the sample with jobs and that the number of students in the sample is not too large so that we can use the normal approximation. F2 F1 APR 1 19 tv 66 ZOOM AG 80 Q00 44 DI DOD F3 F4 F5 FO F7 F8 X T W NEW F9 F10 + Tab Window Help Math 1025 Wk 15: Practice Qu x Math 1025 Wk 15: Practice Qu x | Cengage Learning webassign.net/web/Student/Assignment-Responses/last?dep=33455657#Q7 C er School (b) What is the level of significance? 0.05 State the null and alternate hypotheses. (Enter != for as needed.) Ho: P = = 0.35 H p 0.35 + Fri Apr 19 6:24 G U Relaunch to update (c) What sampling distribution will you use? What assumptions are you making? O We'll use the standard normal. We'll assume that a binomial experiment is an appropriate model for the probability distribution of the number of students in the sample with jobs and that the number of students in the sample is not too large so that we can use the normal approximation. We'll use the Student's t. We'll assume that a normal distribution is an appropriate model for the probability distribution of the number of students in the sample with jobs and that the number of students in the sample is not too large so that we can use the normal approximation. We'll use the standard normal. We'll assume that a binomial experiment is an appropriate model for the probability distribution of the number of students in the sample with jobs and that the number of students in the sample is sufficiently large so that we can use the normal approximation. We'll use the Student's t. We'll assume that a normal distribution is an appropriate model for the probability distribution of the number of students in the sample with jobs and that the number of students in the sample is sufficiently large so that we can use the normal approximation. Use the sample test statistic to compute the corresponding distribution value. (Round your answer to two decimal places.) 2.36 (d) Find the P-value of the test statistic. (Round your answer to four decimal places.) P-value = 0.0429 Sketch the sampling distribution and show the area corresponding to the P-value. APR 1 O 19 tv ST C6 7 ZOOM A G X T P W NEW