RI T2W9_Hypo+Testing_Exit+Quiz_Soln

RAFFLES INSTITUTION H2 Mathematics (9758) 2025 Year 6 ______________________________________ Y6 H2 Math Term 2 Week 9 Hypothesis Testing Page 1 of 1 Name: ____________________________ Class: 25_____________ Math Tutor: ______________________ Term 2 Week 9 Revision Topic: Hypothesis Testing 1 TMJC Prelim 9758/2020/02/Q11 (modified) A supplier claims that their bananas have a mean mass of more than 125 g. Their masses are normally distributed and the population standard deviation is 10 g. A supermarket decides to test the claim and measures the masses of a random sample of 20 bananas from the supplier. Given that the supplier’s claim is valid at the 5% level of significance, find the range of possible values of the sample mean. [3] Let Y be the mass of a randomly chosen banana from the supplier, in g, and  be the population mean mass of bananas from the supplier, in g. 0 1 H : 125 H : 125     Perform a 1-tail test at 5% level of significance. Under 0H , 210N 125,20Y     To reject 0H , p-value ≤ 0.05 P 0.05Y y  From GC,  P 128.678 0.05Y  128.6780 129 (3sf)y y  