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 50 recent CFAs with a mean salary of $140,000 and a standard deviation of $52.000. A sample of 80 MBAS results in a mean salary of $131,000 with a standard deviation of $14,000. Assume that p, is the population mean for individuals with a CFA designation and p, is the population mean of individuals with MBAS (You may find it useful to reference the appropriate table: 2table or table) a. Set up the hypotheses to test if a CFA designation is more lucrative than an MBA at the 10% significance level. O Ho: M1-H2=0, HAM1-42*0 Ho: M1-220 HA H1-H2<0 OHO: M1-H250, HAM-M20 b-1. Calculate the value of the t places.) Test statistic tistic. Do not assume that the population variances are equal. (Round final answer to 3 decimal

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
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 50 recent CFAs with a mean salary of $140,000 and a
standard deviation of $52,000. A sample of 80 MBAS results in a mean salary of $131,000 with a standard deviation of $14,000.
Assume that is the population mean for individuals with a CFA designation and p, is the population mean of individuals with MBAS.
(You may find it useful to reference the appropriate table: zlable or table)
a. Set up the hypotheses to test if a CFA designation is more lucrative than an MBA at the 10% significance level.
O Ho: M1-H2=0; HA M-H2*0
O Ho: M1-H220;HA H1-H2 <0
о но р-н250; на н-н2>0
b-1. Calculate the value of the test statistic. Do not assume that the population variances are equal. (Round final answer to 3 decimal
ploces.)
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 50 recent CFAs with a mean salary of $140,000 and a standard deviation of $52,000. A sample of 80 MBAS results in a mean salary of $131,000 with a standard deviation of $14,000. Assume that is the population mean for individuals with a CFA designation and p, is the population mean of individuals with MBAS. (You may find it useful to reference the appropriate table: zlable or table) a. Set up the hypotheses to test if a CFA designation is more lucrative than an MBA at the 10% significance level. O Ho: M1-H2=0; HA M-H2*0 O Ho: M1-H220;HA H1-H2 <0 о но р-н250; на н-н2>0 b-1. Calculate the value of the test statistic. Do not assume that the population variances are equal. (Round final answer to 3 decimal ploces.) Test statistic
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