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Styles Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or _table) 31.6 26.8 - - 91.9 652 90.0 12 26 a. Construct the 99% confidence interval for the difference between the population means. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) Confidence interval is to The Chartered Financial Analyst (CFA) designation is fast becoming a requirement for serious Investment professionals. It Is an attractive alternative to getting an MBA for students wanting a career in investment. A student of finance is curious to know if a CFA designation is a more lucrative option than an MBA. He collects data on 40 recent CFAs with a mean salary of $142,000 and a standard deviation of $45,000. A sample of 54 MBAs results in a mean salary of $124,000 with a standard deviation of $21,000. Assume that , is the population mean for individuals with a CFA designation and U2 is the population mean of individuals with MBAs. (You may find it useful to reference the appropriate table: z table or [ table) a. Set up the hypotheses to test if a CFA designation Is more lucrative than an MBA at the 1% significance level. O HO: (1 - 2 = 0, HA: 1 - 12+ 0 O HO: H1 - 12 2 0; HA: H1 - H2 50 O HO: H1 - 12 50; HA: H1 - 12 20 b-1. Calculate the value of the test statistic. Do not assume that the population variances are equal. (Round all intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic b-2. Find the p-value 90.01 - p-value