Search & Filtering
1) The average monthly salary paid to all employees in a company was Rs 8,000. The average monthly salaries paid to male and female employees of the company were Rs 10,600 and Rs 7,500 respectively. Find out the percentages of males and females employed by the company.
A survey was distributed to a population of 300 targeted participants. Out of 130 respondents, a sample of 106 participants from the automotive industry was selected based on purposive sampling. Additionally, three field interviews were conducted with senior officers in the automotive sector. Survey results were analyzed using Microsoft Excel Statistical Package, while field interviews were analyzed through coding. The findings indicated that applying MBO in the automotive industry delivered better results in terms of productivity and efficiency, especially when supported by investing in technology.
There are 12 people waiting for extra tickets to a comedy show. Three tickets become available and are randomly assigned. How many different groupings of people can be given the tickets? What is the probability you and your two friends are the 3 people that receive the tickets?
You and your friend are applying to speak at graduation. If there are 16 total entries to speak at graduation and two people are chosen at random, what is the probability that you and your friend are chosen?
The 8 acts for a talent show are being ordered randomly. What is the probability that the dance group is first followed by the comedian?
Estimated demand for cars is normally distributed with a standard deviation of 20 and a mean of 120. What is the probability that:
(i)More than 160 cars will be needed. (4 marks)
(ii)Less than 90 cars will be needed. (4 marks)
(iii)More than 100 but less than 130 cars will be needed.(4 marks)
3 Cards are drawn in succession without replacement from an ordinary deck. Find the probability of the event A1 ∩ A2 ∩ A3, where A1 is the event that the first card is RED ace, A2 is the event that the second card Queen or King and A3 is the event that the third card which is greater than 3 and less than Eight ?
The time taken to pluck the tea leaves in a certain plantation has a normal distribution with mean of 25 hours per week and a standard deviation of 4 hours. Calculate the probability that the tea leaves can be plucked at this plantation in the following period of time:
a) More than 30 hours
[3 marks]
b) Between 18 and 34 hours
[4 marks]
c) Between 25 and 34 hours
[4 marks]
The probability that an automobile being filled with gasoline will also need an oil change is 0.35; the probability that it needs a new oil filter is 0.45; and the probability that both the oil and filter need changing is 0.25.
(i) If the oil had to be changed, what is the probability that a new oil filter is needed ?
(ii) If a new oil filter is needed, what is the probability that the oil has to be changed ?
Following is the data related to the daily production of the two factories of same product located in two different states.
Factory
Daily Production
Factory 1
66
66
73
83
74
73
73
69
82
71
73
66
67
80
79
78
Factory 2
66
63
71
65
65
67
57
48
71
73
68
58
62
81
60
62
72
72
57
77
68
a. Calculate the following [2]
Daily Production of Factory 1
Daily Production of Factory 1
Sample Size
Degree of freedom
Mean
Variance
Standard Deviation
b. Calculate the ratio of two variances and test the equality of the variances and comments.[1]
c. Calculate the value of pool standard deviation (Sp), degree of freedom in the light of part “b” and SED [1]
d. Write the null and alternative hypothesis for comparing the production of two factories. [1]
e. Calculate the critical values “ttab”, and tcal [1]
Write the conclusion for the null hypothesis of part “d”
