Assignment 1 STAA36 - HT2021 Submit your report as one document with name yourname(s) A1. In the report you can either mix your text and results’ tables (from SPSS) or write a coherent text with the essential results. More importantly interpret and discuss your results. Deadline: Friday 01/10 at 23:59 (!) at the latest A hypothetical simulated example A random sample of 100 small-sized Swedish companies (business services) was drawn for a short commercial study coordinated by the university. Using a web-design survey, the link to the questionnaire was sent to the selected Managing Directors. On the average, it took around 5 minutes to complete the survey (data collection period: August 25-31). 5 statements/questions related to the company’s reaction to the pandemic are as follows: S1: “Work from home” has not impaired the vital work-flow of our company. (7-point Likert scale, with 1 as “completely disagree” and 7, “completely agree”) S2: More than 50% of our employees work from home. (0, No; 1, Yes) S3: Our company has fully transformed to digital processes/operating modes. (7-point Likert scale, with 1 as “completely disagree” and 7, “completely agree”) S4: The recommended protocols on safety and health issues guarantee good office atmosphere. (7- point Likert scale, with 1 as “completely disagree” and 7, “completely agree”) S5: Despite economic difficulty, the company managed to retain more than 90% of our February 2020 staff. (0, No; 1, Yes) The other variables from the said study are: Turnover: annual income for 2019 (in millions SEK). Employees: total number of employed staff as of August 25. The data file DataA1.csv with the variables Turnover, Employees, S1, S2, S3, S4, and S5 is available on course homepage on Canvas. Questions: 1. Construct a 95% confidence interval for the population mean turnover µ. 2. For the variable Turnover, test the H0 : µ = 50 million SEK against H1 : µ ̸= 50 million SEK at α = 0.05. 3. Are the results in (1) and (2) mutually consistent? Explain. 4. A politician claims that 60% of the small-sized companies (business services) in Sweden have more than 50% of their employees working from home. Verify this claim with significant level of α = 0.05 using your method of choice. 2021-09-15, --time--, rev.--revision-- Assignment 1 STAA36 - HT2021 5. Is there any significant difference (α = 0.05) in the mean index for “Our company has fully transformed to digital processes/operating modes” between the following groups: a) “Yes” versus “No” to “More than 50% of our employees work from home”. b) “Yes” versus “No” to “Despite economic difficulty, the company managed to retain more than 90% of our February 2020 staff”. Hint: Use two-independent samples test for variable of interest and factor it using a) and b). 6. Let us create a special index, called Reaction Index or RI, to capture the small-sized companies reaction to the work situation during this pandemic. RI is simply the average of the 3 Likert statements: S1, S3, and S4. Construct a 99% confidence interval for the mean RI for small-sized Swedish companies. 7. Divide the random sample into 3 groups based on the total number of employed staff as of August 25 (Employees): Group 1: 10-20 employees Group 2: 21-35 employees Group 3: 36-49 employees Perform a one-way analysis of variance for the mean RIs of these 3 groups for α = 0.05. 8. Give some insights based on the results obtained in (1) - (7). 2021-09-15, --time--, rev.--revision--