A study is performed involving two methods for removing harmful bacteria in 350 lakes in Florida. The lakes were treated randomly using one of two methods. Specifically, 150 were treated using Method A and 200 were treated usingMethod B. A total of 250 of the 350 lakes were bacteria-free after treatment, 95 from the Method A group and 155 from the Method B group.A significance test was performed for the following hypotheses and resulted in a p-value of 0.0018:Ho: Bacteria removal rates are the same for Method A and BHa: Method B has a higher bacteria removal ratePart A: Interpret the p-value in terms of the context.Part B: Using a significance level of a = 0.05, what can you conclude from the context of this study?Part C: Based on your conclusion in part B, which type of error-Type I or Type II-could have been made? What is one potential consequence of this error?

Considering p1 and p2 as the proportion of the lakes that are bacteria-free after method A and…

Answered: A study is performed involving two…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Determine if the samples are independent or related. Two formulations of a new whitening soap are compared to their whitening effect. A random sample of 40 potential users of the soap is selected. Each person uses a randomization mechanism to determine which formulation is applied on the left arm so that the other formulation is applied on the right arm. After two weeks, they measured the effect of each formulation.
The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,608 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 187 of their customers and calculates that these customers used an average of 10,737kWh of electricity last year. Assuming that the population standard deviation is 1220kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance? Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 271, SSA = 22, SSB = 24, SSAB = 170. Set up the ANOVA table and test for any significant main effect and may interaction effect. use a= .05.
The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,941 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 115 of their customers and calculates that these customers used an average of 11,425 kWh of electricity last year. Assuming that the population standard deviation is 3217 kWh, is there sufficient evidence to support the power company's claim at the 0.02 level of significance? Step 3 of 3: Draw a conclusion and interpret the decision.
In a study on the effect of an oral rinse on plaque buildup on teeth, sixteen people whose teeth were thoroughly cleaned and polished were randomly assigned to two groups of eight subjects each. Both groups were assigned to use oral rinses (no brushing) for a 2-week period. Group 1 used a rinse that contained an antiplaque agent. Group 2, the control group, received a similar rinse except that the rinse contained no antiplaque agent. A measure of plaque buildup was recorded at 14 days with means and standard deviations for the two groups shown in the table. Control Group Antiplaque Group Sample Size 8 8. Mean 1.22 0.77 Standard Deviation 0.33 0.33 n USE SALT (a) State the null and alternative hypotheses that should be used to test the effectiveness of the antiplaque oral rinse. O Ho: (H, - H2) = 0 versus H: (, - H2) 0 O Ho: (H1 - H2) = 0 versus H,: (H, - H2) > 0 O Ho: (H1 - H2) = 0 versus H.: (4, - H2) # 0 (b) Do the data provide sufficient evidence to indicate that the oral…
The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,95110,951 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 184184 of their customers and calculates that these customers used an average of 11,162kWh11,162⁢kWh of electricity last year. Assuming that the population standard deviation is 1263kWh1263⁢kWh, is there sufficient evidence to support the power company's claim at the 0.050.05 level of significance? Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 280, SSA = 26, SSB = 23, SSAB = 175. Set up the ANOVA table and test for any significant main effects and any interaction effect. Use a = .05.
In the largest clinical trial ever conducted, 401,974 children were randomly assigned to two groups. The treatment group consisted of 201,229 children given the Salk vaccine for polio, and the other 200,745 children were given a placebo. Among those in the treatment group, 33 developed polio, and among those in the placebo group, 115 developed polio. If we want to use the methods for testing a claim about two population proportions to test the claim that the rate of polio is less for children given the Salk vaccine, are the requirements for a hypothesis test satisfied? Explain. A The requirements are not satisfied; the samples are not simple random samples that are independent. B. The requirements are satisfied; the samples are simple random samples that are independent, and for each of the two groups, the number of successes is at least 5 and the number of failures is at least 5. C. The requirements are satisifed; the samples are simple random samples…
A simple random sample of front-seat occupants involved in car crashes is obtained. Among3000occupants not wearing seat belts,36were killed. Among 7697occupants wearing seat belts,18were killed. Use a0.05significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below.
Capsaicin content in red habanero chilli (Capsicum chinense Jacq.) is affected by the drying process. An experiment was conducted to determine the effect of using different drying temperatures (60 °C, 70 °C, and 80 °C) using an oven. Samples of red habanero chilli were procured. Upon checking, there were varying sizes of chilli and thus the experimenter grouped the samples according to size. Drying temperatures were then randomly assigned within each 8 hours. The capsaicin content was measured for each sample. The partial analysis of variance table is shown below: group for Source of Variation Fc p-value Size 2.1654 0.1560 Temperature 8.6013 0.0034 What is the maximum number of orthogonal contrasts that may be constructed for the post- hoc analysis of the effect of temperature? A. 0 В. 1 C. 2 D. 3
A nutritionist in the FDA wants to compare the caloric content of medium French fries sold by Wendonald (Population 1) and McKing (Population 2) fast-food chains, to see if there is any difference between them. To test this, random samples from each chain is taken and the caloric contents of French fries are measured. The finding is summarized in the table on next page. Conduct an independent-samples t test to test whether there is any difference between the caloric content of French fries sold by the two chains, following the steps below. Wendonald McKing = 32 = 30 = 390 calories = 365 calories = 30 calories = 38 calories Write down the null and alternative hypotheses using proper notation Calculate (Write all steps) What is the value of for α = 0.05 with a two-tailed test?
A store owner claims that the weight of their LPG mini-tanks are exactly 6-kgs as prescribed. Test the claim of the store owner using a random sample of 15 mini LPG tanks. Use a significance level of α = 0.10.The table below summarizes the weight (in kgs) of the 15 samples of mini LPG tanks. a. This problem is a test on what population parameter? b. What are the Significance level and Type of test c. What is the Critical Value d. What are the MEAN and STANDARD DEVIATION e. What is the Standard test statistic?

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS