Question 3 To study on the effect of diet on learning, fourteen 11 year old boys took a pill containing vitamin every day for two months Each boy took a test at the beginning of the study and again at the end The following table gives the two test scores Boy 1 2 3 4 5 6 7 Before 49 57 60 39 42 48 52 After 54 64 60 48 45 50 58 Boy 8 9 10 11 12 13 14 Before 51 47 45 39 49 47 59 After 53 48 55 40 56 49 64 Table Q3 Suppose it is known that for 11 year old boys on a normal diet, the mean change in score over two months is 3 1 A t test is carried out by examiners on these results to determine impact of vitamin Assume that all conditions have been met Should the examiners choose paired t test or two sample t test Justify your answer Please state the null and alternative hypotheses for this test Execute the chosen t test in Q3(a) based on 0 05 level of significance and determine if that vitamin was beneficial Question 3 To study on the effect of diet on learning, fourteen 11 year old boys took a pill containing vitamin every day for two months Each boy took a test at the beginning of the study and again at the end The following table gives the two test scores Boy 1 2 4 5 6 Before 49 57 60 39 42 48 52 After 54 54 60 48 45 50 58 Boy 9 10 11 12 13 14 Before 51 47 45 39 49 47 59 After 53 48 55 40 56 49 64 Table Q3 Suppose it is known that for 11 year old boys on a normal diet, the mean change in score over two months is 3 1 A t test is carried out by examiners on these results to determine impact of vitamin Assume that all conditions have been met (a) Should the examiners choose paired t test or two sample t test Justify your answer (6 marks) (b) Please state the null and alternative hypotheses for this test (4 marks) (c) Execute the chosen t test in Q3(a) based on a 0 05 level of significance and determine if that vitamin was beneficial (8 marks)

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Question 3 To study on the effect of diet on learning, fourteen 11-year-old boys took a pill containing vitamin every day for two months. Each

Question 3

To study on the effect of diet on learning, fourteen 11-year-old boys took a pill containing vitamin every day for two months. Each boy took a test at the beginning of the study and again at the end. The following table gives the two test scores:

Boy 1 2 3 4 5 6 7

Before 49 57 60 39 42 48 52

After 54 64 60 48 45 50 58

Boy 8 9 10 11 12 13 14

Before 51 47 45 39 49 47 59

After 53 48 55 40 56 49 64

Table Q3

Suppose it is known that for 11-year-old boys on a normal diet, the mean change in score over two months is 3.1. A t-test is carried out by examiners on these results to determine impact of vitamin. Assume that all conditions have been met.

Should the examiners choose paired t test or two-sample t test? Justify your answer.

Please state the null and alternative hypotheses for this test.

Execute the chosen t-test in Q3(a) based on = 0.05 level of significance and determine if that vitamin was beneficial?

Question 3 To study on the effect of diet on learning, fourteen 11-year-old boys took a pill containing vitamin every day for two months. Each boy took a test at the beginning of the study and again at the end. The following table gives the two test scores: Boy 1 2 4 5 6 Before 49 57 60 39 42 48 52 After 54 54 60 48 45 50 58 Boy 9 10 11 12 13 14 Before 51 47 45 39 49 47 59 After 53 48 55 40 56 49 64 Table Q3 Suppose it is known that for 11-year-old boys on a normal diet, the mean change in score over two months is 3.1. A t-test is carried out by examiners on these results to determine impact of vitamin. Assume that all conditions have been met (a) Should the examiners choose paired t test or two-sample t test? Justify your answer. (6 marks) (b) Please state the null and alternative hypotheses for this test. (4 marks) (c) Execute the chosen t-test in Q3(a) based on a = 0.05 level of significance and determine if that vitamin was beneficial? (8 marks)