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QUESTION 3 ) The average temperatures for 12-day period for Kangar and Kuala Lumpur are given below Kangar (C) Kuala Lumpur (°C) 37 30 35 36 37 34 30 32 29 34 29 31 32 31 36 31 37 37 35 31 34 3029 29 Based on the sample, at a 0.05, indicate whether there is sufficient evidence to show that Kangar is warmer than Kuala Lumpur. (10 marks)
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Answer #1

Here, we have two sets of data.

Kangar=37,30,35,36,37,34,32,31,36,31,37,37

Kuala=30,32,29,34,29,31,35,31,34,30,29,29

We have to kangur is warmer than kuala Lumpur.

We can use the t-test for this since sample size n=12 (<30)

Let us demote the dith of kayar(%) brX test stahshcs Faum the iven dadsy 34 42 31. 0& S 6 08 t (34. у 2-3108)-О 3.34 6083.298

At 0.05 level of significance tabulated value of t ( one tail ) at (12+12-2) 22 degree of freeom is 1.717.

Since ttab<tcal. So, we will reject our null hypothesis & conclude that Kangar is warmer than Kuala Lumpur.

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