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Question 2 After having successfully obtained a Bachelor degree in management, you started working for a young startup company that is developing a...

Can you answer these three questions in the word document showing work in a word document? This is stats 2 problems for applied statistical methods.
Question 2 After having successfully obtained a Bachelor degree in management, you started working for a young startup company that is developing a new generation of cell phones with a breakthrough technology. The marketing research proved that the size of the potential market for this product is large enough to start initial sales. For this, the company needs one million dollars and you are now wondering how to raise that capital. Since the company is a high-tech startup, you think venture capital (VC) is the most appropriate form of financing. You know that government-VC funds (such as the Business Development Bank of Canada or Export Development Canada) or Labour Sponsored Venture Capital funds (LSVCCs, such as Fonds de solidarité) are more accessible than private independent (PI) funds. However, you heard a rumor that government funds and LSVCCs tend to provide smaller amounts of capital than PIs. a. To address this point, you randomly collected data on 14 high-tech companies that obtained venture capital over the last 2 years; 6 obtained VC from government funds (EDC/BDC), 5 from LSVCCs, and other 4 from PIs. Using the data in Assignment3_Q1a.xls, assess “manually” whether the average amounts of VC raised through the three different types of VC funds are the same or different, at the 5% significance level, in accordance with the following steps: i. State the hypotheses. ii. Calculate “manually” each of the following quantities: SST, MST, SSE, MSE, SSTotal, degrees of freedom for MS, degrees of freedom for MSE, and F-Statistics, and complete the ANOVA table below. For each of those quantities, present two equations: - The formula being used. e.g., SST= Note that some formulae are simpler to use than others. - One equation of substituting values into the formula and the result, e.g., SST= 26( Note: “Manually” means you may not calculate the various quantities using MiniTab or any other statistical software. However, you may use Excel. ANOVA Table Source SS DF MS F Treatment Error Total iii. State the conclusion with reasoning. iv. Perform follow-up tests with Bonferroni method, if appropriate. b. You know that a sample of 15 observations is too small. A professor at Telfer provided you a larger sample of amounts of venture capital raised by 266 Canadian startups (Assignment3_Q1b.MTW). Using Minitab (or any other statistical software), perform the appropriate statistical test to assess
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whether the average amounts of VC raised through the three different types of VC funds are the same or different, at the 5% significance level, in accordance with the following steps: i. State the hypotheses. ii. Check the boxplot for residuals, and discuss the validity of the ANOVA assumptions. iii. Notwithstanding your answer to ii, perform the statistical test. Present Minitab outputs, interpret them, and state the conclusion. Note: Fund type 1 = PI, Fund type 4 = LSVCC, Fund type 5 = government fund (EDC/BDC) iv. Perform follow-up tests with Bonferroni method, if appropriate. v. Perform an appropriate non-parametric test using Minitab. Are the results are the same or different between the parametric and the non-parametric tests? Why? c. In b, you found an extreme outlier, which could potentially distort the results. Re-run the statistical test you performed in b, after eliminating the outlier. Follow all the steps specified in b. Question 3 A survey of online consumers asked respondents to indicate how much money they spent for online purchases during the most recent Christmas holiday season. These data were analyzed to see if gender (1 = Female; 2 = Male) and income level influence the amount consumers spend online for holiday shopping. The two way ANOVA results appear below. Source SS DF MS F Income Level 10377.3 2 Gender 681.6 1 Interaction 2355.3 2 Error Total 14301.0 29 a. Is this an observational or completely randomized experimental study? b. How many levels does the “income level” variable have? c. What is SSE? What are the degrees of freedom associated with SSE? d. State the various hypotheses to be tested. e. Perform the various hypothesis tests at the 5% significance level. State your conclusions, explaining briefly how gender and income level, individually and collectively, affect the amount spent online. Is it appropriate to interpret the main effects in this case? Explain. Question 4 The experimental farm is testing three different types of industrial fodder for cows/beef. It wants to know whether giving different types of fodder results in different fat content in the animal. You, as a professional statistician, were employed for this experiment. You collected a sample of
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ANOVA.docx

Solution:
(i) against
(ii)
Hence TSS = 16.46748
SST= 2.857863
SSE = 13.60961
D.F for SST = 2 , for TSS = 14 , for SSE = 12
Hense MST = = 1.428932
MSE = 1.134117
MSS = = 1.176233
F = 1.259951...

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