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The mean weight of Grade 11 Section Star is 51 kg. and the standard deviation is 3.12 kg. Assuming the weight are normally distributed, what percent of weight greater than 57 kg.?

Student scores on a test that measures self-image are approximately normally distributed. This test is

administered to 20 science students and the mean and standard deviation of their test scores are 88

and 24, respectively.

a) Find a 98 % confidence interval of the true mean.

b) What can we assert with 98% confidence about the possible size of our error if we estimate the

mean score to be 88?


Let P(x, y) be the statement "x takes y ", where the domain for x consists of all people and y consists of train to work.

a Everyone takes train to work.

b There is someone who took train to work.

c There is someone who took at least one train to work.

d Everyone takes at least one train to work.

e Someone takes at least one train to work.


  1. Let P(x, y) be the statement "pupil x has taken class y", where the domain for x consists of pupils and y consists of Discrete Mathematics. Express each of the quantification in English sentences.

a.∀x∀y P(x, y)

b∀x∃y P(x, y)

c∃x∃y P(x, y)

d∃x∀y P(x, y)



Find the percentile rank of the 18 using the following data: 15, 13, 6, 5, 12, 22, 50, 18

Two ships A and B sail simultaneously from the same place. vessel A on course 300at 15 knots and B on course N 45°E at 10 knots. After 1 hour and 30 min, How far is vessel B from the starting point?




The amount of lemonade in a 2 litre bottle is normally distributed with a mean of 2.1 liters and a standard deviation of 0.07 liters.The portion of bottles that actually contain more than 2 liters is ?

Random samples with size 5 are drawn from the population containing the values 26, 32, 41, 50, 58, and 63. Determine the standard error of the sample means.


Random samples with size 5 are drawn from the population containing the values 26, 32, 41, 50, 58, and 63. Find the mean of the mean of the sample means. 


Random samples with size 5 are drawn from the population containing the values 26, 32, 41, 50, 58, and 63. Construct the distribution of the mean of all samples.


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