Math Answers

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?

There are 3 red balls and 5 yellow balls in a box. Two balls are to be drawn with replacement. If 𝑍 is a random variable that represents the number of red marbles drawn, what are the possible values of 𝑍? *

Show that the function f defined on [0,1] by f(x)= (-1)^(n-1) for 1/(n+1) < x/n ≤ 1/n where (n=1,2,3...) is integrable on [0,1]

Test whether the series ∞Σn=0 1/(n^5+x^3) converges uniformly or not

Verify if the ISBN 978-0-760-73261-6 is valid?

Given that the mean weight of senior high school students is 65kg with a standard deviation of 10. What is the percentile rank of a student with a weight of 55 kg?

A population consists of 6 students were given the allotted time for studying and making tasks.

The number of hours are 2, 3, 4, 5, 6 and 7.

A. Find the mean and variance of the population. (10 points)

B. Using a sample size of 5, calculate the mean (𝜇𝑥̅) of the sampling distribution of the

sample means. Compare the result to the mean of the population.