Irritable bowel syndrome (IBS) is a nonspecific intestinal disorder characterized by abdominal pain and irregular bowel habits.  Each person in a random sample of 24 patients having periodic attacks of IBS was randomly assigned to one of three treatment groups, A, B, and C.  The number of hours of relief while on therapy is recorded for each patient in the table below.      Treatment     A B C   11.2 11.6 23.1   8.0 12.5 9.9   3.1 10.6 12.1   10.9 11.6 13.0   12.3 13.9 13.3   9.9 8.6 11.0   9.1 18.9 15.2   5.0 19.1 15.9  sample mean 8.6875 13.35 14.1875  sample variance 10.1698 14.4486 16.9270  Give the value of the analysis of variance test statistic used to test H0: μA = μB = μC.   What's the critical value if the .05 significance level is used? What's the p-value? What's the decision using the .05 significance level?

You are interested in investigating the efficacy of a new pain medication and design an experiment measuring pain levels before and after the administration of a new medication. You recruit 9 people to participate in your study and bring the same 9 participants in for two separate sessions. Here is the raw data: Pair Number Placebo Pain Score Pain Medication Pain Score 1 2 4 5 6 7 8 9 5 7 10 5 8 7 8 6 8 QUESTION 20 5 5 8 4 4 3 5 3 2 Use the t-test handout printout provided to calculate the t- statistic. What is the t-test statistic value? Round to the nearest tenth. What conclusion would you make on the above data, based on the t-value you calculated and the critical value of t? O You accept the null hypothesis because the t-value you calculated is inside the bounds of the critical t-value O You reject the null hypothesis because the t-value you calculated is inside the bounds of the critical t-value O You reject the null hypothesis because the t-value you calculated is outside the…

A new vaccination is being used in a laboratory-experiment to investigate whether it is effective. There are 258 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related? Vaccination Status Diseased Not Diseased Total Vaccinated 55 62 117 Not Vaccinated 70 71 141 Total 125 133 258 Copy Data Step 6 of 8: Find the critical value of the test at the 0.025 level of significance. Round your answer to three decimal places.

Johnson and Leone describe an experiment to investigate the warping of copper plates. The two factors studied were temperature and the copper content of the plates. The response variable was a measure of the amount of warping. The data are as follows: Temperature (°C) 50 75 100 Copper Content (%) 40 60 80 100 17 20 12 9 16 12 21 17 21 16 24 21 18 13 18 21 ZZFEHERRE 23 22 27 17 27 31 30 23 29 31 12 25 23 23 28 22 125 Source: Applied Statistics and Probability for Engineers, 6th Edition, Douglas, C. Montgomery & George, C. Runger. 1. Draw and interpret the interaction plot. ii. Is there any significant interaction between the factors? Use a = 0.05. ii. Can your interpretation in (i) be validated in (ii)? Twelve plants are randomly

. A developmental psychologist would like to determine how much fine motor skill improves for children from age 3 to age 4. He takes a random sample of 9 three-year old children and gives each a manual dexterity test that measures fine motor skill. He tests these same children a year later, when they are each four-years old. Higher scores on this test indicate better fine motor skills. Scores are recorded in the table below. Is there a significant difference in the motor skills from age three to four? Test with an α = 0.05. What type of error is possible based on the outcome? What is the mean motor skill score for the children at age three? What is the mean motor skill score for the children at age four? Explain the advantage of using a dependent measures design over the independent measures design. What are some disadvantages?

A random survey of health issues, conducted by the Department of Public Health of the Commonwealth of Massachusetts, examined the results from the state's seven largest cities. These cities were selected on the basis of their diverse racial and ethnic populations. The percentage of adults with diabetes in each city in the survey is given in the following table. City Boston Worcester Springfield Lowell Fall River Lawrence NewBedford Adults withDiabetes (%) 4.2 5.2 9.1 5.7 8.1 7.9 6.3 Find the average percentage of adults with diabetes in these seven cities. (Round your answer to two decimal places.) %What is the standard deviation for these data? (Round your answer to two decimal places.) %

his question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stone tool manufacture independent of the archaeological excavation site? Two different excavation sites gave the information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools and excavation site are independent.   Excavation Site   Material Site A Site B Row Total Basalt 756 559 1315 Obsidian 92 103 195 Pedernal chert 514 521 1035 Other 88 91 179 Column Total 1450 1274 2724 (a) What is the level of significance?   (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)