A bank with branches located in a commercial district of a city and in a residential area has the business objective of developing an improved process for serving customers during the noon-to-1 PM. lunch period. Management decides to first study the waiting time in the current process. The waiting time is defined as the numtb when the customer enters the line until he or she reaches the teller window. Data are collected from a random sample of 15 customers at each branch. Complete parts (a) through (d) below. a. Assuming that the population variances from both banks are equal, is there evidence of a diference in the mean waiting time between the two branches? (Use a 0.05.) Let p be the mean waiting time of the commercial district branch and z be the mean waiting time of the residential area branch. Determine the hypotheses. Choose the correct answer below. OA H S2 B. Ho 2 Waiting time data OG. Ho 2 OD. Hg "2 Commercial Residentialo 4.21 9.58 581 8.01 Find the test statistic. 5.56 3.04 5.31 4.56 2.67 3.47 3.02 4.68 6.08 "STAT "O (Round to two decimai places as needed.) 5.64 8.57 3.84 8.25 8.53 10.43 6.83 5.68 4.13 6.01 9.82 5.38 Find the critical value(s) (Use a comma to separate answers as needed. Round to two decimal places as needed.) 0.26 5.07 6.35 6.48 3.58 Choose the correct conclusion below. OA. Reject Ho. There is insufficient evidence that the mean waiting time between the two branches dfer. B. Do not reject Ha. There is sufficient evidence that the mean waiting time between the two branches differ. O C. Reject Ho. There is sufficient evidence that the mean walting Sme between the two branches difer. OD. Do not reject H. There is insufficient evidence that the mean waiting time between the two branches differ. Print Done b. Determine the p-value in (a) and interpret its meaning p-value O (Round to three decimal places as needed.)

Find the test statistic & p-value

An online instructor wants to estimate the mean amount of time that students spend in the online homework system on a particular homework assignment. The instructor takes a random sample of 30 students and looks up the amount of time recorded by the system for that assignment.

Does the type of instruction in a college statistics class (either lecture or self-paced) influence students’ performance, as measured by the number of quizzes successfully completed during the semester? Twelve students were recruited for the study. Students received the lecture instruction or a self-paced instruction. The total number of quizzes completed during teach type of instruction appear below.

A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and 14% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. Virus No Virus TotalPositive Test Negative Test Total 100,000a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign. %

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