Answer to Question #127382 in Statistics and Probability for Yeap Kai Wei

Question

Question 1
Packets of instant coffee have a nominal weight of 32 grams. A random sample of 10 packets were selected and each of their weights, x grams, was recorded. It is found that:
∑▒x=305 , ∑▒x^2 =9505
(a) Find the unbiased estimate for the population mean and standard deviation.
(3 marks)
(b) A consumer association claimed that the mean weight of the instant coffee packet is less than 32 grams. Test at 5% significance level if this claim is true.
(8 marks)

Question 2
The efficiency of two training centres in a large organisation is to be evaluated. The examination results of a group of students from each centre on a common test are:
Centre X Y
Sample Size 50 40
Sample Mean 82.5 77
Sample Standard Deviation 7.2 9.1

Test at 1% level of significance, whether there is a significant difference in examination results between centres.
(8 marks)

Answer 1

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