Do government employees take longer coffee breaks the private sector workers? Th

Question

Do government employees take longer coffee breaks the private sector workers? That is a quest that interested a management consultant. To examine the issue, he took a random sample of ten government employees and another random sample of ten private sector workers and measured the amount of time (in minutes) they spent in coffee breaks during the day. The results and analysis are shown below. Assume that the two populations are normally distributed. Which is the best of hypothesis for the experiment a) H_0: x bar _0 - x bar _p = 0 H_1: x bar _0 - x bar _p notequalto 0 b) H_0: mu_0 - mu_p = 0 H_1: mu _0 - mu_p notequalto 0 c) H_0: mu_0 - mu_p greaterthanorequalto 0 H_1: mu_0 - mu_p 0 What is s^2_p (rounded to the thousandths place)? a) 13.167 b) 18 c) 21.228 d) 29.289 What is the value of the test statistic? a) 5.7 b) 2.766 c) 2.1009 d) 1.734 What implications should be drawn? a) There is not enough evidence to support the consultant's claim that there is a difference in the length of time government employees and private sector workers take for coffee breaks. b) There is enough evidence to support the consultant's claim that government employees take longer coffee breaks than private sector workers. c) There is enough evidence to support the consultant's claim that there is a difference in the length of time government employees and private sector workers take for coffee breaks. d) There is not enough evidence to support the consultant's claim that government take longer coffee breaks than private sector workers.

Explanation / Answer

6) Answer will be Option D because:

i) We always have equality sign in null hypothesis

ii)We are talking about means here, not proportions

iii) The claim always goes in alternate hypothesis.

7) S2p is callled variance as S is standard deviation. It is called pooled variance.

Calue of this in table is : 21.228 (rounded off)

8) This is a one tail test. So, see value of t in one tail. In table value given is:

t = 2.766

9) If we take confidence level of 95% then p value is less than alpha and thus we reject null hypothesis.

So, This means B options is right.

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