Statistics and Probability Answers

Gasoline : 1 ， 2 ， 3 ， 4 ， 5

(a) Unleaded : $2.27, $2.27, $2.27, $2.27, $2.27

(b) Unleaded plus : 2.36, 2.37, 2.38, 2.38, 2.40

(c) Super Unleaded: 2.47, 2.49, 2.50, 2.50, 2.59

i) What is the mean price of: (a), (b), and (c).                                        

ii) What is the median price of: (a), and (b).

iii) What is the mode price of: (a), and (b)

If x is a standard normal variate find the following probabilities by using normal probability i) p(0.87<x<1.28)

ii) p(-0.34<x<0.62)

iii) p(x>0 85)

iv)p(x>-0.65)

Teaching a subject requires much more than simply knowledge of that subject. Knowing and deeply understanding the mathematics is crucial, but it is just the beginning.” Critically discuss the above statement giving reasons for your responses. [25]

‘read, interpret and draw simple inferences (conclusions) from tables and statistical diagrams

The above specific objective is stated in the NSSCO syllabi under the topic Statistics and Probability. Discuss how you would you plan to teach this concept, clearly stipulate what happens at every point of the lesson. Also, indicate how you will include and develop local resources in order to enhance learners’ understanding. [50] 

A person has four different values of grades in his diploma. Out of these the best value is found twice, the second best is found four times, the second worst is found only once and the worst is found three times. Find the values of these grades, when the mean of the diploma is 7,5 and we know that the values are consecutive whole numbers.

A toothpick manufacturer wants every box to contain exactly (on average) 500 toothpicks. In a random sample of 25 boxes, mean is 498 toothpicks and standard deviation is 9 toothpicks.

Is the probation problem the same for boys and girls at AIUB? CGPA of 100 boys and 125 girls were randomly checked. 25 boys and 18 girls were under probation. 

A researcher claims that 10-year old children watch 6.6 hours of TV daily on average. You try to verify this for a sample of size 100 with mean 6.1 hours and standard deviation 2.5 hours. 

Out of 25 students, 8 are female. Is the overall proportion of female students 0.40 in AIUB?