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T distribution with 19 degrees of freedom. If the total area shaded is 0.05, what is the area to the left of t1?
"An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 792 hours and a standard deviation of 62 hours. Find the probability that a random samples of 18 bulbs will have an average life between 794 and 807 hours."
Four observers determine the moisture content of samples of a powder, each man taking a sample from each of six consignments. Their assessments are given below: Observers Consignments 1 2 3 4 5 6 1 2 3 4 9 12 11 12 10 11 10 11 9 9 10 11 10 11 12 14 11 10 11 12 11 10 10 10 Discuss whether there is any significant difference between consignments. (Useful data: Ftab(5,15):2.96, Ftab(3,15):3.29
What is regression analysis? Explain steps of performing regresion analysis in detail? The following des shows the yearly sales te ullam R) of A2Z corporations for the last nine years. Develop a regresside
10
10
10
10
Yor2011 2012
2013 2014
2015
2016
2017
2018
2019
Sale
23 153
5.3 15
259 2.8 41
These are the data without any specific order or arrangement
There are 3500 species of bees and more than 600,000 species of insects. What is the minimum numbe
of species of insects are not bees?
A certain firm has plants A, B and C producing, respectively, 35%, 15% and 50%, of the total out. The
probabilities of a non-defective product are, respectively, 0.75,0.95 and0.85. If a consumer receives a
defective product, what is the probability that it came from plant C.
Write C++ program that calculates the area and the circumference of a square. Read the
required input from the user at the runtime. Where area = edge2 and circumference = 4 edge
A random variable X has a normal distribution with mean 50 and variance of 10. Find the range of scores that lie:
A.Within one standard deviation from the mean.
B.Within two standard deviation from the mean.
There are 150 students in a class. The distribution if their marks in a mathematics test are as follows
Class frequency
0-9 3
10-19 10
20-29 17
30-39 x
40-49 35
50-59 y
60-69 18
70-79 10
80-89 5
90-99 2
Required
i) The value of x given that the median mark is 44.357 (2marks)
ii) The value of y given that the modal is 43.0 (2marks)
iii) Draw an ogive of the data in (a) above (3 marks)
