A university administrator wishes to know if there is a difference in average starting salary for graduates with master's degrees in engineering and those with master's degrees in business. Fifteen recent graduates with master's degree in engineering and 11 with master's degrees in business are surveyed and the results are summarized below (Do not assume equal variance). n Engineering 15 68,535 1627 Business 11 63,230 | 2033 (a) State the null hypothesis Ho, alternative hypothesis H, and the tail test. (b) Calculate the test statistic, t* (c) Given a = 0.05, degree of freedoms = 18, determine the t- critical value.

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please answer a,b,c.

A university administrator wishes to know if there is a difference in average starting
salary for graduates with master's degrees in engineering and those with master's
degrees in business. Fifteen recent graduates with master's degree in engineering
and 11 with master's degrees in business are surveyed and the results are
summarized below (Do not assume equal variance).
n
Engineering 15 68,535 1627
Business 11 63,230 2033
(a)
State the null hypothesis Ho, alternative hypothesis H, and the tail test.
(b)
Calculate the test statistic, t*
(c)
Given a = 0.05, degree of freedoms = 18, determine the t- critical value.
(d)
Could the data provide sufficient evidence to conclude that the average
starting salaries are different?
(e)
Calculate calculate the p-value and interpret the result.
Transcribed Image Text:A university administrator wishes to know if there is a difference in average starting salary for graduates with master's degrees in engineering and those with master's degrees in business. Fifteen recent graduates with master's degree in engineering and 11 with master's degrees in business are surveyed and the results are summarized below (Do not assume equal variance). n Engineering 15 68,535 1627 Business 11 63,230 2033 (a) State the null hypothesis Ho, alternative hypothesis H, and the tail test. (b) Calculate the test statistic, t* (c) Given a = 0.05, degree of freedoms = 18, determine the t- critical value. (d) Could the data provide sufficient evidence to conclude that the average starting salaries are different? (e) Calculate calculate the p-value and interpret the result.
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