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cant understand 16 An educational expert found that the correlation coefficient between the hours of revision and the scores achieved by 25 students in their

cant understand

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16 An educational expert found that the correlation coefficient between the hours of revision and the scores achieved by 25 students in their A-level exams was 0.379 Her data came from a bivariate normal distribution. Carry out a hypothesis test at the 1% significance level to determine if there is a positive correlation between the hours of revision and the scores achieved by students in their A-level exams. The critical value of the correlation coefficient is 0.4622 [4 marks] A political party is holding an election to choose a new leader. A statistician within the party decides to sample 70 party members to find their opinions of the leadership candidates. There are 4735 members under 30 years old and 8565 members 30 years old and over. The statistician wants to use a sample of 70 party members in the survey. He decides to use a random stratified sample. (a) Calculate how many of each age group should be included in his sample. [2 marks] (b) Explain how he could collect the random sample of members under 30 years old. [3 marks]

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