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 homepag
e 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–