Problem 2. An article in Fire Technology investigated two different foam-expanding agents that can be used in the nozzles of fire-refighting spray equipment. A random sample of five observations with an aqueous film-forming foam (AFFF) had a sample mean of 4.1 and a standard deviation of 0.6. A random sample of five observations with alcohol-type concentrates (ATC) had a sample mean of 6.6 and a standard deviation 0.8. a. Can you draw any conclusions about differences in mean foam expansion? Use a = 0.05. Assume that both populations are well represented by normal distributions with the same standard deviations. Find the value of the test statistic. Suppose that the null hypothesis is H₁ H₁-H₂ = A=0. What is your conclusion about differences in mean foam expansion? b. Find a 95% confidence interval on the difference in mean foam expansion of these two agents.

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Problem 2.
An article in Fire Technology investigated two different foam-expanding agents that can be used
in the nozzles of fire-refighting spray equipment. A random sample of five observations with an
aqueous film-forming foam (AFFF) had a sample mean of 4.1 and a standard deviation of 0.6. A
random sample of five observations with alcohol-type concentrates (ATC) had a sample mean of
6.6 and a standard deviation 0.8.
a. Can you draw any conclusions about differences in mean foam expansion? Use a = 0.05.
Assume that both populations are well represented by normal distributions with the same
standard deviations. Find the value of the test statistic. Suppose that the null hypothesis is
Ho: M-₂A=0. What is your conclusion about differences in mean foam expansion?
b. Find a 95% confidence interval on the difference in mean foam expansion of these two
agents.
Problem 3.
A random sample of 1900 adult women indicated that 941 of them asked for medical assistance
last time they felt sick. The same sized sample of men indicated that 893 of them asked for
medical assistance.
Use the z-values rounded to three decimal places to obtain the answers.
a. Is it reasonable to conclude that women ask for medical assistance more often than men?
Use a = 0.05. Find the P-value for this test.
b. Construct a 95% confidence interval for the difference in the proportion of women and
proportion of men who seek medical assistance.
Transcribed Image Text:Problem 2. An article in Fire Technology investigated two different foam-expanding agents that can be used in the nozzles of fire-refighting spray equipment. A random sample of five observations with an aqueous film-forming foam (AFFF) had a sample mean of 4.1 and a standard deviation of 0.6. A random sample of five observations with alcohol-type concentrates (ATC) had a sample mean of 6.6 and a standard deviation 0.8. a. Can you draw any conclusions about differences in mean foam expansion? Use a = 0.05. Assume that both populations are well represented by normal distributions with the same standard deviations. Find the value of the test statistic. Suppose that the null hypothesis is Ho: M-₂A=0. What is your conclusion about differences in mean foam expansion? b. Find a 95% confidence interval on the difference in mean foam expansion of these two agents. Problem 3. A random sample of 1900 adult women indicated that 941 of them asked for medical assistance last time they felt sick. The same sized sample of men indicated that 893 of them asked for medical assistance. Use the z-values rounded to three decimal places to obtain the answers. a. Is it reasonable to conclude that women ask for medical assistance more often than men? Use a = 0.05. Find the P-value for this test. b. Construct a 95% confidence interval for the difference in the proportion of women and proportion of men who seek medical assistance.
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