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A family has four children. If is a random variable that pertains to the number of female children, what are the possible values of ?
A market research company informs a prospective mini marker entrepreneur that the average income per household in the region is RM60 000 per annum. The household income is assumed to be normally distributed with standard deviation of RM8000, based on an early study. For a random sample of 120 households, the mean household income is found to be RM57 000.
Test the null hypothesis that the population mean household income is RM60 000 at 5 percent significance level.
A research showed that the average rate of renting a car in Marrakech is 884.2 dhs and the average in Casablanca is 806.1 dhs. The mentioned data was obtained by taking two samples of 50 rental agencies in each city and that the standard deviation of the population is 56.2 dhs and 48.3 dhs of Marrakech and Casablanca respectively. At α = 0.05, can it be concluded that there is a difference in the rates of both cities?
I was found that 85.6% of students at IUL worldwide are enrolling to undergraduate program. A random sample of 50 students from IUL Morocco revealed that 42 of them were enrolled in undergraduate program. Is there evidence to state that the proportion of IUL Morocco differs from the IUL Morocco proportion? Use α = 0.05
A journalist claims that the mean salary of middle class citizens in Casablanca is 9,600 MAD. To see how this compares to his neighborhood, a student surveyed 28 randomly selected middle class people and found that their mean income is 8,850 MAD. If the standard deviation for Casablanca middle class citizens is 1,000 MAD, can the student conclude that there is a difference at α = 0.10?
A Company produces brake liners of thickness 6.4 mm. The company has four different machines to produce break liners. Each day five samples of each machine are taken and thickness of the break liner is determined. The following tables lists these details:
The thickness of break lines (in mm)
Sample
Machine Identifier
A B C D
1 6.4001 6.3999 6.3903 6.4000
2 6.4011 6.3965 6.3803 6.4009
3 6.4035 6.3923 6.3703 6.3990
4 6.4101 6.3910 6.3995 6.3910
5 6.4071 6.3900 6.3918 6.4030 Perform an ANOVA using any software to test (at 5% level) whether all the four machines are producing the break lines with correct thickness. Justify your findings. Make suitable assumptions, if any.
A car dealership has both Electric and Internal Combustion Engine (ICE) vehicles available for sale. 30% of customers looking to purchase a new car are interested in Electric vehicles, while the rest want ICE vehicles. On a particular day, the dealership had 17 people coming in to purchase a new car. What is the probability that the number of people who are interested in an Electric vehicle is more than two standard deviations away from the mean value?
A population consists of four numbers 3, 7, 11, 15. consider all possible sample size 2 which can be drawn without replacement. Find mean and SD in the population.
What is the probability that at most 40 boxes will be delivered on a particular day?
b. Given the population 2,1,3,3,5,4,7 find the probability that a random sample of size 25, selected with replacement, will yield a sample mean greater than 3.7, but less than 4.3.
