Question

QUESTION 1 (a) What is the ‘Noise’ in a relationship? (b) What is the forecast for...

QUESTION 1

(a) What is the ‘Noise’ in a relationship?

(b) What is the forecast for a multiplicative model where the trend is 30 and the seasonal index is 1.5?

(c) Use the formula and Venn diagram to illustrate the nature of mutually exclusive events.

QUESTION 2

A boost pump is set to pump out 5L of water per minute. A sample of 20 separate minute tests have showed that an average of 5.2L of water per minute were pumped with a standard deviation of 0.2L. Use the method of hypothesis test to test that whether the boost pump works as it set with 5% level of significance (round off to three decimal places)?

Critical value at 1% =2.861
Critical value at 5% = 2.093

Critical value at 10% = 1.729

(a) State the null and alternative hypothesis.

(b) Calculate the acceptance range for the pump.

(c) Decide whether or not to reject the null hypothesis.

(d) Form the conclusion for the hypothesis test.

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