Answer to Question #217371 in Statistics and Probability for Madimetja

Question

A consumer organisation wants to obtain information about u, the mean number of drawing pins in the boxes of a certain brand which, according to the label, should contain 100 pins. In nine randomly chosen boxes this organisation finds the following numbers of drawing pins:

90 94 88 92 90 86 94 90 86

a)(i) Test whether u < 100. Take as level of significance a= 0:05.

(ii) Which assumption do you need?

b)If the true value of u is 101, what type of error did you make in part (a)?

c)(i) Determine a 90% confidence interval for u.

(ii) Is it likely that u= 101?

Answer 1

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