the marks obtained by 36 students in a mathematics quiz are recorded. Marks obtained 3 4 5 6 7 8 Number of students 3 4 7 у 5 (a) If the mean of the distribution is 6, find the value of x and of y. (b) Using your answers in (a), find (i) the median, (ii) the mode, of the distribution.
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QUESTION 1 х (a) The table below gives the frequency distribution of marks obtained by a group of students in a class test. Marks 3 4 5 6 7 8 Frequency 5 x-1 9 4 1 Find the value of x if the mean for the distribution is 5. (5 marks) (11) What is the modal mark? (1 marks) (111) Find the mean absolute deviation. (2 marks) (iv) Find the sample variance and the sample standard deviation. (5 marks) b) By using the phrases correct decision" or "wrong decision”, complete the decision table for hypothesis testing below. Where the decision is wrong, state the type of error committed. DECISION Ho is false Ho is true Reject Ho Fail to Reject HO 4marks c) In the test of a certain hypothesis the p-value corresponding to the test statistics is 0.0316. Can the null hypothesis be rejected at the; i. 0.01 level of significance? lmark ii. 0.05 level of significance? lmark 0.10 level of significance? lmark Justify your answers. 111.