Math Answers

The probabilities that a surgeon operates on 3 4 5 6 or 7 patents and any one day are 0.15 0.20 0.25 0.20 and 0.20 respectively

[￢p ∧(p ∨ q)]→q

A group of students got the following scores in an achievement test:9,12,15,18,21 and 24 . consider the sample of size 3 that can be drawn from this population. Construct a sampling distribution of the resulting means and find the probability

For each of the ff. sets, determine whether 2 is an element of that set.

a. {𝑥∈ℝ|𝑥 𝑖𝑠 𝑎𝑛 𝑖𝑛𝑡𝑒𝑔𝑒𝑟 𝑔𝑟𝑒𝑎𝑡𝑒𝑟 𝑡ℎ𝑎𝑛 1}

b. {𝑥∈ℝ|𝑥 𝑖𝑠 𝑡ℎ𝑒 𝑠𝑞𝑢𝑎𝑟𝑒 𝑜𝑓 𝑎𝑛 𝑖𝑛𝑡𝑒𝑔𝑒𝑟}

c. {2,{2}}

d. {{2},{{2}}}

Determine whether each of these pairs of sets are equal.

a. {1,3,3,3,5,5,5,5},{5,3,1}

b. {{1}}{1,{1}}

c. ∅,{∅}

a random sample of 429 college students was interviewed about a number of matters. use the results to construct confidence interval estimates of the population mean at the 99% level.

A. they reported that they had sent an average of $478.23 on textbooks during the previous semester , with a sample standard deviation of $15. 78

B. They also reported that they had visited the health clinic an average of 1.5 times a semester with a sample standard deviation of 0.3

C. on the average, the sample had missed 2.8 days of classes per semester because of illness with a sample standard deviation of 1.0

D. on the average, the sample had missed 3.5 days of classes per semester for reason other then illness, with a sample standard deviation of 1.5

please use excel

A vendor claims that the variance for measurement of tiles that his factory produce were 13

square feet. A sample of nine tiles was measured in square feet and the results of the tiles

produced were recorded as below:

204.5 206.3 202.4

207.8 203.1 206.2

203.8 206.6 205.8

(Assuming the sample comes from a normal population)

i) Calculate the point estimate of the population mean.

(2 marks)

ii) Compute the variance and standard deviation.

(3 marks)

iii) Determine the estimate of 95% confidence interval for the population mean of the

tiles.

A vendor claims that the variance for measurement of tiles that his factory produce were 13 square feet. A sample of nine tiles was measured in square feet and the results of the tiles produced were recorded as below: 204.5 206.3 202.4 207.8 203.1 206.2 203.8 206.6 205.8 (Assuming the sample comes from a normal population) i) Calculate the point estimate of the population mean. (2 marks) ii) Compute the variance and standard deviation. (3 marks) iii) Determine the estimate of 95% confidence interval for the population mean of the tiles.

A bottling company uses a filling machine to fill plastic bottles with a popular cola. The bottle are supposed to contain 300 millilimeters. In fact, the contents vary according to a normal distribution with mean =298 ml and standard deviation = 3ml.

a. What is the probability that an individual bottle contains less than 295 ml?

b. What is the probability that the mean contents of the bottles in a six-pack is less than 295 ml?