Question 2

Mr. Oluambo, a new fiction author, wishes to know whether there is any relationship between a books length and the price charged for the book. He chooses a random sample of 10 novels and records the length and price of each as follows:

Length (pages)	520	680	740	200	400	800	750	500	300	350
Price (Ksh 00)	16	20	21	9	10	22	20	15	10	10

Is there a significant relationship between novel length and its price? (use p-test)Develop a regression model for predicting price of novel using its length.Test the significance of the model using t test, R and F-testFind an interval estimate if the actual average performance in the examination was 72 percent. Would we be right to say that this group of candidates performed below the average?Suppose the expected average performance in the examination was 72 percent, would we be right to say that this group of candidates performed below the average?A sample of 50 mores was obtained from 2011 series of a similar examination. The sample gave a mean score of 66.7 percent with a standard deviation of 3 percent. Would be right to conclude that there was no difference in performance between 2011 and 2012 scores of the examination.

Question 4

In a study to analyse performance of QA in a 2015 examination series the following scores in a percentage were compiled for a sample of 100 candidates.

42,51,52,53,61,62,63,64,71,72,81,46,53,54,55,63,64,65,66,73,74,82,48,57,58,59,67,68,69,77,78,87,43,54,56,64,65,66,67,74,75,84,47,52,53,54,62,63,64,65,72,73,82,45,56,57,58,66,67,68,69,76,77,86,44,55,56,57,65,66,67,75,76,85,49,50,51,52,60,61,62,70,71,51,52,53,61,62,63,71,72,58,59,57,68,69,67,78,79,80

Arrange the data in equal classes of size 10 starting from 40 percent.Using an ogive for the data, findThe approximate percentage of the candidates who passed the examination if the pass mark was 62.5 percent.The pass marks if 90 percent of the candidate passed examination.Verify whether it would be appropriate to use the properties of normal probability distribution in analyzing the data (perform acid test of normality).

Question 5

A game of chance entails three coins. For each head that comes up, the player receives Ksh 1000 and loses Ksh 800 for any tail that comes up. To play the game, one pays Ksh 1500. Win-win consult ltd. bids for 10 jobs, believing that its chances of getting each of the jobs is 0.1.What is the probability that it gets at least two of the jobs?What is the expected value of the number of job it will get?What is the standard deviation of the number of jobs it will get?The number of patients entering the intensive care unit of great care Hospital (GCH) on any one day has a Poisson probability distribution with a mean equal to 5 patients per day.Sweet Unga packs wheat flour in packets whose weights are normally distributed with mean equal to 5kg and standard deviation equal to 0.2 kg. The company classifies its packets as under-weight when its weigh falls below 4.7 kg over-weight when above 5.1 kg, otherwise it is classified as normal weight. The customers are charged Ksh 1700, 2000 and 2100 for the various packets respectively.A study was conducted to determine student, Faculty, and administration

Attitudes on a new University parking policy. The distribution of those favouring or opposing the policy is shown in the following table.

Student Faculty Administration

Favour 252 107 43

Oppose 139 81 40

Do the data provide sufficient evidence to indicate that attitudes regarding the parking policy do not depend on the category of the respondent?