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A sample of 60 Grade 11 students' ages was obtained to estimate the mean of all Grade 11 students. The sample mean is 16.4 years and the population standard deviation is 4. What is the point estimate for µ?

We wish to estimate the mean serum indirect bilirubin level of 4 days old infants.the mean for the sample of 16 infants was found to be 5.98mg/100cc.assume the bilirubin levels in 4 days old infant are approximately normally distributed with a standard deviation of 3.5 mg/100cc.calculate the 90,95 and 99% confidence interval and compare the intervals?

In the length of of hospitalization study conducted by several cooperating hospitals,a random sample of 64 peptic ulcer patients was drawn from the list of all peptic ulcer ever admitted to the participating hospital and the length of hospitalization per admission was determined for each. The mean length of hospitalization was found to be 8.25 days.the population standard deviation is known to be 3 days.calculate the 90,95 and 99% confidence interval and compare the intervals.

A certain type of ochro seed germinates 75% of the time. A backyard farmer planted 6 seeds. What is the probability that more than 4 seeds germinate?

Find the equation of the straight line with gradient -1/2 that passes through the point (5,3)


Plot the points P(-3, 2), Q(5, 6) and R(4, -1) on the graph below.


3600 dollars is placed in an account with an annual interest rate of 9%. How much will be in the account after 25 years, to the nearest cent?



In a certain village 28% of all cars are made by Ford.

(ii) 14 cars are chosen randomly in this village. Find the probability that fewer than 4 of these cars are made by Ford.

(iii) A random sample of 50 cars in the village is taken. Estimate, using a normal approximation, the probability that more than 18 cars are made by Ford.


Write a rule for a function, P

P, that gives the perimeter of a square in inches when the side length is x

x inches.


Check if the binary relation R defined over Z such that (x, y) ∈ R if and only if x − y is



divisible by 4 is an equivalence relation.

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