Match the scenario to the appropriate significance test. For each scenario indic
ID: 3061171 • Letter: M
Question
Match the scenario to the appropriate significance test. For each scenario indicate the test by filling in the corresponding letter. Each test can only be used once.
A microbiologist is studying the effects of a particular treatment on culture specimens in a lab. The experiment is such that measurements are taken on the culture prior to the treatment and again 2 weeks after the treatment has been administered. The treatment and cultures are quite expensive so the biologist only has 6 cultures. In addition to the small sample size, the biologist expects there to be great fluctuations in the response of the cultures (outliers or non-normality). She would like to know if the treatment shows any change. Which test could she use?
Researchers would like to find a model to help predict college graduation rates. They believe several factors might be used in a model to help predict graduation rates. They include in their model the variables: student major, incoming SAT scores, economic status and several more variables. What type of analysis is appropriate for this scenario?
A property management company would like to compare the satisfaction ratings (0-10) among renters for two different carpet cleaning companies. They randomly assign Company A and Company B to each clean the carpets in 20 different apartments. After the cleaning they survey the tenants on their satisfaction with the cleaning. They compare the average satisfaction rating between the two companies. What type of test is appropriate for this scenario?
Oregon State University would like to know whether the proportion of students that binge drank in the last month is greater than 50%. They take a simple random sample of 1000 students and ask whether they binge drank in the last month. What type of test should the university use to test their claim of 50%?
A marketing research firm would like to know whether there is a significant difference between the proportion of their customers who have a twitter account and their age. What type of test would be appropriate to see whether the proportion of twitter users for the younger group is different than the proportion of twitter users for the older group?
The pressure inside a tennis ball affects how the ball moves in a tennis match and can affect play. A manufacturer of tennis balls would like to test the pressure inside their tennis balls. The pressure inside the ball should be 12.0 psi. They take a random sample of 100 balls and find the average psi to be 12.05. They know the population standard deviation to be 0.09 psi. What type of procedure should they use to test if the psi in their balls is different than 12.0?
A consumer research company would like to test whether there is an association between the cell phone provider (ATT, Verizon, Sprint, Other) and age bracket (18-30, 31-40, 41-50, 51+) among US adults. What type of testing procedure can they use?
Explanation / Answer
A microbiologist is studying the effects of a particular treatment on culture specimens in a lab. The experiment is such that measurements are taken on the culture prior to the treatment and again 2 weeks after the treatment has been administered. The treatment and cultures are quite expensive so the biologist only has 6 cultures. In addition to the small sample size, the biologist expects there to be great fluctuations in the response of the cultures (outliers or non-normality). She would like to know if the treatment shows any change. Which test could she use?
Here we have to t-use paired t-test.
Hypothesis for the test is,
H0 : Mud = 0 Vs H1 : Mud not= 0
where Mud is the population mean difference between after and before.
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Researchers would like to find a model to help predict college graduation rates. They believe several factors might be used in a model to help predict graduation rates. They include in their model the variables: student major, incoming SAT scores, economic status and several more variables. What type of analysis is appropriate for this scenario?
Here we use use multiple regression technique.
where dependent variable is college graduation rate and independent variables are student major, incoming SAT scores, economic status and several more variables.
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A property management company would like to compare the satisfaction ratings (0-10) among renters for two different carpet cleaning companies. They randomly assign Company A and Company B to each clean the carpets in 20 different apartments. After the cleaning they survey the tenants on their satisfaction with the cleaning. They compare the average satisfaction rating between the two companies. What type of test is appropriate for this scenario?
Here we use two sample t-test.
Hypothesis for the test is,
H0 : mu1 = mu2 Vs H1 : mu1 not= mu2
where mu1 and mu2 are two population means for company A and company B.
And sample size is 20 which is less that 30 so we use two sample t-test.
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Oregon State University would like to know whether the proportion of students that binge drank in the last month is greater than 50%. They take a simple random sample of 1000 students and ask whether they binge drank in the last month. What type of test should the university use to test their claim of 50%?
Here we use one proportion z-test.
Hypothesis for the test is,
H0 : p = 50% Vs H1 : p > 50%
where p is population proportion.
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A marketing research firm would like to know whether there is a significant difference between the proportion of their customers who have a twitter account and their age. What type of test would be appropriate to see whether the proportion of twitter users for the younger group is different than the proportion of twitter users for the older group?
Here we use two proportion z-test.
Hypothesis for the test is,
H0 : p1 = p2 Vs H1 : p1 not= p2
where p1 = proportion of twitter users for the younger group
p2 = proportion of twitter users for the older group
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The pressure inside a tennis ball affects how the ball moves in a tennis match and can affect play. A manufacturer of tennis balls would like to test the pressure inside their tennis balls. The pressure inside the ball should be 12.0 psi. They take a random sample of 100 balls and find the average psi to be 12.05. They know the population standard deviation to be 0.09 psi. What type of procedure should they use to test if the psi in their balls is different than 12.0?
Here we use one sample z-test.
Hypothesis for the test is,
H0 : mu = 12.0 Vs H1 : mu not= 12.0
where mu ia population average psi.
Here sample size is 100 > 30 and population standard deviation is known so we use here one sample z-test.
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A consumer research company would like to test whether there is an association between the cell phone provider (ATT, Verizon, Sprint, Other) and age bracket (18-30, 31-40, 41-50, 51+) among US adults. What type of testing procedure can they use?
Here we use t-test for correlation.
Hypothesis for the test is,
H0 : Rho = 0 Vs H1 : Rho not= 0
where Rho is the population correlation between the cell phone provider and age bracket among US adults.