Question

Periodically, merrill lynch customers are asked to evaluate merrill lynch financial consultants and services. Higher ratings on the client satisfaction survey indicate better service with the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant a has years of experience, whereas consultant b has year of experience. Use and test to see whether the consultant with more experience has the higher population mean service rating. Round degrees of freedom to previous whole number.

Answer 1

a) Null hypothesis ($\mu _{a} \leq \mu _{b}$) for merrill lynch customers are given as

Alternative hypothesis:$\mu _{a} > \mu _{b}$

$t =\frac{6.82-6.25}{\sqrt{\frac{0.64^{2}}{16}} + \sqrt{\frac{0.75^{2}}{10}} }$

t = 1.992

What is null hypothesis?

• Conjectures used in statistical tests, which are formal techniques for drawing conclusions or making judgments based on data, include the null hypothesis and the alternative hypothesis.
• The hypotheses, which are based on a sample of the population, are suppositions regarding a statistical model of the population. The tests are essential components of statistical inference and are frequently used to distinguish between statistical noise and scientific claims when interpreting experimental data in science.
• The null hypothesis, which is the statement being tested in a test of statistical significance, is typically a declaration of "no effect" or "no difference," and the test of significance is intended to evaluate the strength of the evidence against it

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