SEC 0.5.0 **Question 5**The most appropriate probability distribution and test statistic to utilize for this inferential analysis is which of the following?- \( z \) or standard normal- \( t \) of Student's t- \( F \)- \( \chi^2 \)**Question 6**Which type of hypothesis testing is involved?- no tail- two tail- one tail, left tail- one tail, right tail**Question 7**What is the total sample size, \( n \)? [Text box for input] **Analysis of Room Cleaning Data at Palisades Plaza Motor Inn****Introduction:**The head housekeeper at the Palisades Plaza Motor Inn is examining whether the individual staff member or the day of the week affects the average number of sleeping rooms cleaned. This investigation employs statistical analysis based on the data in the table below, with a focus on a 10% level of significance.**Data Table:**| | S | M | T | W | T | F | S ||-------|---|---|---|---|---|---|---|| **Ari** | 34 | 32 | 43 | 33 | 37 | 44 | 33 || **Betty** | 46 | 38 | 35 | 42 | 39 | 41 | 37 || **Carlos** | 35 | 39 | 49 | 29 | 38 | 36 | 34 || **Dante** | 47 | 43 | 46 | 47 | 44 | 49 | 47 || **Enid** | 46 | 42 | 33 | 37 | 45 | 41 | 33 || **Fatima** | 44 | 44 | 46 | 39 | 41 | 44 | 37 |**Research Questions:**1. Is there a difference in the mean number of rooms cleaned based on the individual staff member?2. Is there a difference in the mean number of rooms cleaned based on the day of the week?**Graphical Analysis:**- The table provides details on the number of rooms cleaned by each staff member over a week, which can be visualized using plots to detect patterns across days or among staff. **Comments & Hints:**- Assume all necessary statistical assumptions are met.- Utilize technology to simplify calculations.- Round decimals and percentages as necessary.This analysis is crucial for efficient resource allocation and optimizing staff schedules based on peak days or exemplary performance.

The data shows the number of rooms cleaned by staff members and number of rooms cleaned by days of the week.Question 5: The study is about to check that there is any difference between the mean number of rooms cleaned according to staff members, and that there is any difference between the mean number of rooms cleaned according to days of the week. It is known that for testing more than 2 means, F-distribution is appropriate test statistic. Therefore, the most appropriate probability distribution and test statistic to utilize for this inferential analysis is F. Correct Answer: F.Question 6: Since F-distribution is a right tailed test. Therefore, the type of hypothesis testing is involved is one tail, right tail. Correct Answer: one tail, right tail.Question 7: There are 7 days and 6 staff members. The total sample size is, n=7×6=42 Therefore, the total sample size n is 42.