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An Environmentalist is making a survey on the number of households that applies the principles of Waste Management in a certain community. Given the standard deviation of 26, how large a sample must be selected if we want to be 95% confident of finding whether the true mean differs from the sample mean by 1.5 hour?


What is the probability of both coins landing on heads?


Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 1\le x \le 5

1≤x≤5.



Suppose the Acme Drug Company develops a new drug, designed to prevent colds. The company


states that the drug is equally effective for men and women. To test this claim, they choose a


simple random sample of 110 women and 190 men from a population of 100,000 volunteers.


At the end of the study, 28% of the women caught a cold; and 61% of the men caught a cold.


Based on these findings, can we reject the company's claim that the drug is equally effective for


men and women? Use a 0.05 level of significance.

The manager of Penawar Chemical Company claims that their major product contains on average u = 3.0 fluid Ounces of acid material per gallon. If there is too much acid material, the product will be too dangerous. A quality inspector was brought in to test the product. She randomly selected a sample of 100 gallon-size containers of the product. The results were as follow. Mean weight Frequency 2.80 10 2.90 6 3.00 30 3.10 54 SUM 100



d. Using a 5% significance level, explore the critical point. Hence, write the decision rule. [2 marks) e. At the 5% level of significance, investigate whether there is sufficient evidence to support the Company's claim. Assume the acid materials fluid Ounces per gallon are normally distributed. What is your expectation about the company product? (5 marks)

The manager of Penawar Chemical Company claims that their major product contains on average u = 3.0 fluid Ounces of acid material per gallon. If there is too much acid material, the product will be too dangerous. A quality inspector was brought in to test the product. She randomly selected a sample of 100 gallon-size containers of the product. The results were as follow. Mean weight Frequency 2.80 10 2.90 6 3.00 30 3.10 54 SUM 100 d. Using a 5% significance level, explore the critical point. Hence, write the decision rule. [2 marks) e. At the 5% level of significance, investigate whether there is sufficient evidence to support the Company's claim. Assume the acid materials fluid Ounces per gallon are normally distributed. What is your expectation about the company product? (5 marks)


What’s the divisibility of 6 798 340

Question 1: Draw a graph with the specified properties or give reason to show that no such graph exists.

i.                    A graph with four vertices of degree 1,1,2 and 3

ii.                  A graph with four vertices of degree 1,1,3 and 3

iii.                 A simple graph with four vertices of degree 1,1,3 and 3


a random sample of 81 items is taken, producing a sample mean of 47. The population standard deviation is 5.89. construct a 90 confidence interval to estimate the population mean.



Identify the appropriate distribution function if we want to select 20 random numbers between 0 and 9.




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