Promotion and Age: Listed below are ages of applicants who were unsuccessful in winning promotion and ages of applicants who were successful in winning promotion from a simple random sample at a company.

Ages of unsuccessful Applicants: the population standard deviation of this group is=7.5

34	37	37	38	41	42	43	44	44	45
45	45	46	48	49	53	53	54	54	55
55	56	57	60

Let's suppose there is a claim that the mean age of unsuccessful applicants is=50years old. You are interested to see if the mean age is different from 50 years old. Let's use the significance level of =0.05

Do we meet the simple conditions? Explain.

Write the null and alternative hypothesis. Use the xbutton under "Insert" to insert math equations (this will allow subscripts and mu (type \mu for , type "_" to give a subscript to text)

Calculate the test statistic. Round to three decimal places

Find the p-value. Round to four decimal places.

Give a conclusion for the test of significance in context of the problem

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