Question 1085476: Question number 1
An experimental station recorded the following data:
32 29 34 31 35 35 27 32 38 37 31 38
36 35 31 36 39 41 38 31 33 41 28 30
39 39 31 37 36 32 30 39 35 32 33 38
34 42 33 33 41 30 31 34 30 33 29 32
49 30 34 33 35 33 33 35 29 35 35 42
32 35 28 36 31 32 39 26 33 34 36 32
i. Make a frequency table using five classes
ii. Draw a histogram from the table in (i) above
iii. Calculate the median, the mean and the Standard Deviation of the data set.
Question number 2
65% of men consider themselves football fans. You randomly select 8 men and ask each if he is a football fan. Find the probability that the number who consider themselves football fans is;
i. at least five
ii. Less than five
Question number 3
A newspaper is known to have a mean number of 4 typing errors per page. Find the probability that;
i. at most three typographical errors will be found on a page
ii. more than three typographical errors will be found on a page
Question number 4
A cereal maker places a game piece in its cereal boxes with a probability of winning a prize in the game equal to 1/10. Find the probability that you win your first prize with your fith purchase.
Question number 5
A civil service efficiency expert developed a test measuring job satisfaction of civil service clerks. The following information was obtained from a random sample of 10 clerks.
X 48 92 32 56 40 72 16 56 76 80
Y 13 2 14 10 14 6 17 8 3 7
Where; x is the job satisfaction index and y is the # of days absent from work in 1 year.
i. Draw a scatter diagram for the data
ii. From the scatter diagram, would you say slope is closest to 1, 0, or -1?
iii. Find the equation of the line.
Question number 6
Assume that x has a normal distribution, with the specified mean and standard deviation. Find the indicated probabilities;
i. P (3.5 x 5.8), = 4, = 2
ii. P (x 130), = 120, = 15
Question number 7
A medical researcher wishes to evaluate the effectiveness of a drug in prolonging the life of a red cell in a culture medium. Seven cultures are treated with saline (an inactive control substance) and seven others are treated with the new drug. The following survival times in days are recorded;
Control Group Treated Group
109 121
112 119
118 119
116 126
121 121
100 115
113 117
Conduct the necessary test to determine if the treatment with the new drug does in fact prolong the life of a red cell. Use = 0.05.
Question number 8
A standardized mathematics test was given to fourth grade children in five schools in each of three different central Kenya school districts. The mean score for each school and district follows:
District 1 District 2 District 3
59 58 55
68 63 79
77 72 52
70 55 77
79 80 66
Use the 0.05 level of significance to test the claim that there are no differences in the mean scores from each school district.
Question number 9
Independent samples of tooth paste users were taken from four villages A, B, C and D. The respondents were asked which one of three common non-prescription painkillers X, Y, and Z they prefer to use. The resulting data are displayed in the table below.
VILLAGE PAINKILLER
X Y Z
A 32 39 12
B 41 23 16
C 16 18 12
D 18 27 25
Use the data to check if there is sufficient evidence to conclude that there is association between the location and the painkiller preferred by the respondents.
Found 2 solutions by ikleyn, 29981227725404233:
Answer by ikleyn(52781)   (Show Source):
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