a. Set up the hypotheses to test if a CFA designation is more lucrative than an MBA at the 10% significance level. O Ho: H1-42= 0; HA -42#0 O Ho: H1-4220; HA -42<0 Ho: -250; HA H- 42>00 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 36 recent CFAS with a mean salary of $145,000 and a
standard deviation of $36,000. A sample of 47 MBAS results in a mean salary of $135,000 with a standard deviation of $24,000.
Assume that H, is the population mean for individuals with a CFA designation and u, is the population mean of individuals with MBAS.
(You may find it useful to reference the appropriate table: z table or t table)
a. Set up the hypotheses to test if a CFA designation is more lucrative than an MBA at the 10% significance level.
O Họ: 41- H2 = 0; HA: H1 - H2# 0
O Ho: 1-4220; HA H1 - 42<0
Ho: 1-H250; HA H1- 42>00
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
Transcribed Image Text: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 36 recent CFAS with a mean salary of $145,000 and a standard deviation of $36,000. A sample of 47 MBAS results in a mean salary of $135,000 with a standard deviation of $24,000. Assume that H, is the population mean for individuals with a CFA designation and u, is the population mean of individuals with MBAS. (You may find it useful to reference the appropriate table: z table or t table) a. Set up the hypotheses to test if a CFA designation is more lucrative than an MBA at the 10% significance level. O Họ: 41- H2 = 0; HA: H1 - H2# 0 O Ho: 1-4220; HA H1 - 42<0 Ho: 1-H250; HA H1- 42>00 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
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