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1. Hello! I need a bit of urgent help on this question (my exam is next week). The question is from Jan 2005 S4 paper (AQA spec B). I can do (a) which is simple, but the rest is My teacher doesnt know the answer so can someone help me out please. Lets see who can beat my teacher (im sure theres loads of you!)

4. Sharon is considering opening a coffee bar. while preparing her business plan, she estimated that a customer will, on average, occupy a seat in the coffee bar for 18 minutes.

she observed customers in a coffee bar in a similar area and recorded the times, in minutes, for which they occupied a seat. the times recorded were as follows:

37.4 18.2 39.0 12.2 46.9 5.4 69.2 16.3 44.6 24.2 39.8

(a) Using the 5% significance level, test teh hypothesis that the mean time a customer occupies a seat is 18 minutes. Assume that the data are a random sample from a normal distribution.

(b) If, in part (a), you had been asked to examine whether the mean time a customer occupied a seat was less than 18 minutes, state the changes, if any, which would have been necessary to:
(i) the null hypothesis;
(ii) the alternative hypothesis;
(iii) the critical value(s);
(iv) the conclusion. Your conclusion should be stated in words; i.e. a conclusion such as "reject Ho" is not sufficient.

(c) If, in part (a), you had been asked to examine a claim that the mean time a customer occupied a seat was 18 minutes or less , state the changes, if any, which would have been necessary to:
(i) the null hypothesis;
(ii) the alternative hypothesis;
(iii) the critical value(s);
(iv) the conclusion. Your conclusion should be stated in words; i.e. a conclusion such as "reject Ho" is not sufficient.

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Updated: June 10, 2005
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