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ho:u1-u2=2 and h1:u1-u2=2
Pupils Per Teacher The average number of pupils per teacher in each state is shown. Construct a grouped frequency distribution with 6 classes. Draw a histogram, frequency polygon, and ogive. Analyze the distribution.
Pupils Per Teacher The average number of pupils per teacher in each state is shown. Construct a grouped frequency distribution with 6 classes. Draw a histogram, frequency polygon, and ogive. Analyze the distribution.
Four attorneys earn R10 000,R23 000 and R31 000 respectively each month. Calculate their average income per month?
Given that two machines A and B produced 200 and 300 items respectively. From these samples, machine A produced 18 defective items and machine B produced 15 defective items. Construct a 95% confidence interval for the difference in the proportion of defective items produced by machine A and B. How do you interpret the interval?
1.Find a possible statistical problem inside your home relating to a discrete random variable lesson, explain in a paragraph form…..(2-3 sentence will do)
2.Find the possible random variable
3.Create a probability distribution
4.Compute for the mean variance and standard deviation
5.Interpret result
6.Conclusion
The weights of 500 students are normally distributed with a mean of 46 with standard deviation of 2 kg
a. Draw a normal curve distribution with 2-scores and equivalent raw scores. kg
b. What percent of all the students weighs below 42 kg?
c. If a student from this group is randomly selected, what is the probability that he/she weighs between 46 kg and 48 kg?
d. How many students in the given group are heavie
The weights (lb) of discarded plastic from a sample of households is listed and the summary statistics are n=62, x̅=1.911 lb, and s=1.065 lb. Use a 0.05 significance level to test the claim that the mean weight of discarded plastics from a population of households is greater than 1.800 lb. What null hypothesis can be formulated for this claim?
two extrusion machine that manufacture polyester fibers are being compared. in a sample of 1000 fibers taken from machine 1, 960 met specifications regarding fineness and strength. in a sample of 600 fibers taken from machine 2, 582 met the specifications. machine 2 is more expensive to run, so it is decided that machine 1 will be used unless it can be convincingly shown that machine 2 produces a larger proportion of fibers meeting specifications.
a. state the appropriate null and alternate hypothesis for making decision as to which machine to use.
b. compute the test statistics.
c. which machine should be used?
the expected performance of a group of machines is that they should operate for 80% of the available time, the remaining 20% being scheduled for maintenance and setting-up. it is believed that one machine of the group is not achieving this target. the machine was observed at 500 random instants of time and was found to be working on 370 occasions. do these results suggest that the machine was running significantly below the target efficiency?
