STT102 TMA

Q1 The following data were collected on ten infants. Fin the standard error, \[S_{yx}\]. Where\[ S_{yx}^2 = \sum_{i=1}^{10} {y_{i} – \hat y_{i}}^2\} \]and \[y_{i} \]are the observed values , \hat y_{i} are the predicted values




Q2 Given the general form of linear equation \[y = b + b_{1}X \]. If\[b_{1} > 0\], then the line slopes



Q3 In the age distribution of Receipients of Nursing scholarship of 25, 21, 22, 20, 19, 30, 27, 28, 32 and 18. Determine the variance. (Hint: use\[ S^2 = \sum X – \bar {X}^2\]



Q4 Consider Attitude Scores for five newly admitted Nursing students towards alcoholic patients below: Attitude: 5, 4, 3, 2, 1 . The percentage due to attitude 3 is ________



Q5 The data below represent systolic blood pressure readings (mm Hg), using Spearman’s Rank Order Correlation method, determine correlation coefficient \[r_{s}\] of the two readings.



Q6 One Precaution in correlation is that _________



Q7 Determine Correlation Coefficient ‘r’ using the above values or from your direct-calculation



Q8 Find the value of S_{w1w2} in question one above



Q9 From the above, evaluate \S_{w2w2}.



Q10 This is for Questions 1 to 4. Two weekly scores of a students are as below <> . Find \S_{w1w1}



Q11 Given that X = 20, 30, 40, 50, 60. Find \[\bar X \].



Q12 Consider this distribution 12, 20, 13, 15, 17, 15, 18. Find \[\bar X_{m}\], where \[\bar X_{m}\] is as earlier defined.



Q13 Let \[\bar X_{m}\] be the Median Score, Determine \[\bar X_{m}\] in 15, 13, 15, 12, 12, 16, 15, 14, 13



Q14 Suppose \X_{m} is the Mode. Find \X_{m} in 15, 13, 15, 12, 12, 16, 15, 14, 13.



Q15 Take X = 29, 27, 28, 30, 35. Evaluate \bar {X}



Q16 Suppose X = 10, 12, 8, 7, 5. Find the value of (\[\sum{i=1}^{5} X_{i}-2)^2\]



Q17 If X=10, 12, 8, 7, 5. Evaluate {1} \{3} \[\sum{i=1}^{5} X_{i}\]



Q18 Determine [ \sum{i=1}^{5} X_{i}]^2 if X = 10, 12, 8, 7, 5



Q19 Let Y = 2, 5, 6, 7. Find \sum{j=1}^{4} Y_{j}



Q20 If X=10, 12, 8, 7, 5 Determine \sum{i=1}^{5} X_{i}



Q21 Given that X = 20, 30, 40, 50, 60. Find \[\bar X \].



Q22 Consider this distribution 12, 20, 13, 15, 17, 15, 18. Find \[\bar X_{m}\], where \[\bar X_{m}\] is as earlier defined.



Q23 Let \[\bar X_{m}\] be the Median Score, Determine \[\bar X_{m}\] in 15, 13, 15, 12, 12, 16, 15, 14, 13



Q24 Suppose \X_{m} is the Mode. Find \X_{m} in 15, 13, 15, 12, 12, 16, 15, 14, 13.



Q25 Take X = 29, 27, 28, 30, 35. Evaluate \bar {X}



Q26 Suppose X = 10, 12, 8, 7, 5. Find the value of (\[\sum{i=1}^{5} X_{i}-2)^2\]



Q27 If X=10, 12, 8, 7, 5. Evaluate {1} \{3} \[\sum{i=1}^{5} X_{i}\]



Q28 Determine [ \sum{i=1}^{5} X_{i}]^2 if X = 10, 12, 8, 7, 5



Q29 Let Y = 2, 5, 6, 7. Find \sum{j=1}^{4} Y_{j}



Q30 If X=10, 12, 8, 7, 5 Determine \sum{i=1}^{5} X_{i}



Q31 The scores obtained by 10 students in a practical class are as follows: 20, 50, 30, 40, 60. The mean score is _________



Q32 In the distribution having classes 0-4 5-9 10-14 15-19 20-24 . . . The upper class boundary for class 3 is _____________



Q33 Mean, Median and Mode are measures of _______________________



Q34 In attitude test, the scores for 5 newly students are as stated here, Attitude: 5, 4, 3, 2, 1. The percentage attributable to attitude of score 3 is



Q35 .Cluster Sampling is one whose members are ___________________________



Q36 Systematic Sampling is a completely random sampling method



Q37 Simple Random Sampling (SRS) is one for which each possible sample is _______ likely to be selected



Q38 The sample characteristics is _________________



Q39 _________ is a population characteristics



Q40 Statistics is the _____________ that deals with data collection, and summarising facts which are expressible in numerical form



Fifteen pair (x,y) of observations ((99, 28.8), (101.1, 27.9), (102.7, 27.0), (103, 25.2), (105.4, 22.8), (107, 21.5), (108.7, 20.9), (110.8, 19.6), (112.1, 17.1), (112.4, 18.9), (113.6, 16), (113.8, 16.7), (115.1, 13), (115.4, 13.6), (120, 10.8)) are observed from an experiment, if the regression function is given by y=a+bx, what is the estimate value of b?
______________
o 0.848
o _0.671
o _0.905
o 1.283
The profit recorded by six department within an organization are 82, 23, 132, 48, 74, and 56. If the information is represented using a pie chart, what is the difference between the angle representing profit 132 and 56?
a. 46.72
b. 65.93
c. 71.25
d. 61.35

Five individuals from an animal population thought to be near extinction in the north_east region of the country have been caught, tagged, and released to mix into the population, after which a random sample of 10 of the animal is reselected. Let M be the number of tagged animals in the second sample. If there are 25 animals of this type in the region. What is the probability that M<=2

0.545

0.699

0.451

0.711

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