BIO206 January2016: Statistics for Agriculture and Biological Sciences

Q1 In a poultry farming, the daily demand for water is normally distributed with a mean of 4000 litres and a standard deviation of 400 litres, if z-score of demand for a given day is 1.3. how many litres of water is the demand for the day?

 5540 litres
 6650 litres
 3650 litres
 4520 litres

Q2 The mean yield of yam following the fertilizer treatment from 10 plots was 176.1kg with standard deviation 3.88. What is the 95% confidence limit for the mean yield of the yam?
 (173.32, 178.88)
 (152.35, 182.02)
 (144.23, 179.77)
 (162.42, 180.54)

Q3 When do we have a negative correlation?
 when an increase in one variable is associated to a greater or lesser extent with an increase in the other
 when a change in one variable is to a small extent matched by a change in the other.
 when an increase in one variable is associated to a greater or lesser extent with a decrease in the other
 when the two variables are not in matched at all, and there is no relationship between changes in one variable and changes in the other.

Q4 The number of books borrowed from a public library during a particular week is given as in the table. What is the result of testing the hypothesis that the number of books borrowed does not depend on the day of the week using 0.05 level of significance  
 the hypothesis rejected at that level
 there is no reason to reject the hypothesis at that level
 no enough no evidence
 there is no reason to reject the hypothesis at that level

Q5 if Ho:U = 260.50kg with standard deviation at 7.2 and 99% confidence limit, and H1:u > 260.50kg, what will be the final conclusion for Ho?
 Indecision
 Accept Ho
 Reject H0
 Accept H1

Q6 An aspect of biostatistics that describe how to collect, organize, summarize and analyze data such that valid and objective conclusions or decision about the population can be drawn is called
 ANOVA
 Experimental Design
 Normality
 Poisson

Q7 Which of the following is not an experimentation principle?
 Randomization
 Homogeneity
 Replication
 diversion

Q8 Statistics that deals with using a conclusion deduce from a smaller sample to make conclusion on the entire larger population is defined as
 inferential
 descriptive
 explanatory
 sampling

Q9 Which of the following is true of the projection of two vectors X and Y?
 The projection of X on Y equal the scalar product of Y.x where x is a unit vector in the direction of X
 The projection of X on Y equal the scalar product of X.y where y is a unit vector in the direction of Y
 The projection of X on Y equal the scalar product of X.y where y is a unit vector in the opp direction of Y.
 The projection of X on Y equal the scalar product of Y.x where x is a vector perpendicular to X

Q10 A biologist discover that the proportion of 5 micro organisms in pond are V=24, W=36, X=15,Y=27, Z=38, determine the relative frequency of organism X
 8.23
 25.22
 10.71
 15.23

Q11 In a poultry farming, the daily demand for water is normally distributed with a mean of 4000 litres and a standard deviation of 400 litres, if z-score of demand for a given day is 1.3. how many litres of water is the demand for the day?
 5540 litres
 6650 litres
 3650 litres
 4520 litres

Q12 The mean yield of yam following the fertilizer treatment from 10 plots was 176.1kg with standard deviation 3.88. What is the 95% confidence limit for the mean yield of the yam?
 (173.32, 178.88)
 (152.35, 182.02)
 (144.23, 179.77)
 (162.42, 180.54)

Q13 When do we have a negative correlation?
 when an increase in one variable is associated to a greater or lesser extent with an increase in the other
 when a change in one variable is to a small extent matched by a change in the other.
 when an increase in one variable is associated to a greater or lesser extent with a decrease in the other
 when the two variables are not in matched at all, and there is no relationship between changes in one variable and changes in the other.

Q14 The number of books borrowed from a public library during a particular week is given as in the table. What is the result of testing the hypothesis that the number of books borrowed does not depend on the day of the week using 0.05 level of significance  
 the hypothesis rejected at that level
 there is no reason to reject the hypothesis at that level
 no enough no evidence
 there is no reason to reject the hypothesis at that level

Q15 Compute the correlation coefficient between the corresponding values of X and Y given in the table  
 -0.9203
 -0.6102
 0.7752
 -0.8311

Q16 The birth rate per 1000 population during seven years is as shown, find the least squares line fitting the data  
 Y= 8.4512 – 0.4511t
 Y= 14.3714 – 0.0571t
 Y= 9.0856 + 0.3712t
 Y= 9.8312t – 0.9123

Q17 Adult males have normally distributed heights with mean equal to 70 in and standard deviation equal to 3 in, what percent are between 68 and 73 in?
 0.4371
 0.5889
 0.6751
 0.3445

Q18 If 3% of the yam tuber harvest from a portion of farmland get rotten within 5 weeks of harvest, find the probability that in a sample of 100 tubers less than or equal to 2 tubers will be defective
 0.2187
 0.7542
 0.9941
 0.4232

Q19 The time spent watching TV per week by middle-school students has a normal distribution with mean 20.5 hours and standard deviation 5.5 hours , what percent watch TV less than 25 hours per week
 0.793
 0.635
 0.456
 0.851

Q20 Find the probability that in five tosses of a fair die a 5 appears at no time
 2124/5561
 2626/5671
 3125/7776
 1354/5004

Q21 When do we have a negative correlation?
 when an increase in one variable is associated to a greater or lesser extent with an increase in the other
 when an increase in one variable is associated to a greater or lesser extent with a decrease in the other.
 when the two variables are not in matched at all, and there is no relationship between changes in one variable and changes in the other.
 when a change in one variable is to a small extent matched by a change in the other.

Q22 One of the following is not a Non parametric test
 Sign Test
 Krustal Wallis
 Normality test
 Spearman Rank Correlation

Q23 if Ho:U = 260.50kg with standard deviation at 7.2 and 99% confidence limit, and H1:u > 260.50kg, what will be the final conclusion for Ho?
 Indecision
 Accept Ho
 Reject H0
 Accept H1

Q24 An aspect of biostatistics that describe how to collect, organize, summarize and analyze data such that valid and objective conclusions or decision about the population can be drawn is called
 ANOVA
 Experimental Design
 Normality
 Poisson

Q25 Which of the following is not an experimentation principle?
 Randomization
 Homogeneity
 Replication
 diversion

Q26 The usage of statistical tools to analyze data obtain from the fields of biological sciences like Medicine, Pharmacy, Biochemistry, Microbiology, Agricultural Sciences is termed
 Biostatistics
 AgroStatistic
 ethnostatistic
 Pharmastatistics

Q27 Which of the following is not a property of a Normal Curve
 Most items on the curve are clustered around the mean
 No kurtosis or skewness in the curve
 It is a bimodal symmetrical curve
 The mean, mode and median all coincide, thereby dividing the curve into two equal parts

Q28 In measuring the height of some rabbit, the mean was 76, and the standard deviation was 6, calculate the standard height of rabbits having a height of 112
 6
 15
 10
 8

Q29 Which of the following is not a reasons for constructing a frequency distribution?
 To organize the data in a meaningful, intelligible way.
 To un-facilitate computational procedures for measures of average and spread
 To enable the reader to determine the nature and shape of the distribution
 To enable the researcher to draw charts and graphs for the presentation of data

Q30 A basket contains 5 oranges, 4 Mangoes , 3 Apples and 2 guavas. If 4 fruits are drawn at random, determine the probability that 1 of each fruit is drawn
 0.45
 0.23
 0.12
 0.33

Q31 Statistics that deals with using a conclusion deduce from a smaller sample to make conclusion on the entire larger population is defined as
 inferential
 descriptive
 explanatory
 sampling

Q32 Which of the following is true of the projection of two vectors X and Y?
 The projection of X on Y equal the scalar product of Y.x where x is a unit vector in the direction of X
 The projection of X on Y equal the scalar product of X.y where y is a unit vector in the direction of Y
 The projection of X on Y equal the scalar product of X.y where y is a unit vector in the opp direction of Y.
 The projection of X on Y equal the scalar product of Y.x where x is a vector perpendicular to X

Q33 A biologist discover that the proportion of 5 micro organisms in pond are V=24, W=36, X=15,Y=27, Z=38, determine the relative frequency of organism X
 8.23
 25.22
 10.71
 15.23

Q34 In an experiment, the class with is 9, how many classes can be formed if the range of the set of data is 270.
 45
 30
 20
 42

Q35 Which of the following is not true about a normal distribution curve?
 Most items on the curve are clustered around the variance
 No kurtosis or skewness in the curve
 The mean and median are equal
 It is a unimodal symmetrical curve

Q36 Evaluate P(-0.38 <=z <=1.25)
 0.3512
 0.2195
 0.4523
 0.5424

Q37 For a certain breed of monkey in a zoo, the time to start eating when food is supply is normally distributed with mean 1.25 min and standard deviation of 0.46 min. what is the probability that the time to start eating is between 1 min and 1.75min
 1.8156
 0.2135
 0.5675
 0.3156

Q38 If a normal distribution has u=30 and sd(a)= 5, what is the 6th percentile of the distribution?
 15.264
 22.225
 30.301
 10.984

Q39 The width of the termite house is normally distributed with mean 3cm and standard deviation 0.14. what width value separates the widest 10% of all such house from the other 90%?
 4.233
 1.651
 0.632
 3.179

Q40 Which of the following is not true about a binomial distribution
 The outcome of a new trial can depend on the trial of the previous
 The total number of trials must be known
 The outcome in each trial can be classified as true or false
 In each of the trials the probability of failure must remain constant