The following sample has been collected from 123 patients to test the efficiency of asleeping capsule. The patients were separated into two groups: control, and target.The control group were given a fake capsule (sugar) while the target group were giventhe original capsule. The patients were asked about the effectiveness of the capsulesand the results were written in the following table:ControlTargetEffective858Not effective525What is the probability of a randomly selected patient being in the target group?Write all answers in 3 decimal placesWhat is the probability of a randomly selected patient being in the target group andbelieving that the capsule is not effective?What is the probability of a randomly selected patient being in the target group giventhat they believe the capsule is not effective?

We see, total number of patients taking the test = sample size = 123 = n(S) sayNow, The…

Answered: The following sample has been collected…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Explain with example t Test for Two Population Means: Independent Samples (EPO Experiment).
Use the three-read strategy to understand the following exercise from a statistics textbook, and then proceed to complete the exercise. Suppose that in a study to determine if hormone therapy increases risk of venous thrombosis in menopausal women, each person in a sample of 589 women who had been diagnosed with venous thrombosis was classified according to hormone use. Each woman in a sample of 2,243 women who had not been diagnosed with venous thrombosis was also classified according to hormone use. Data from the study are given in the accompanying table. The women in each of the two samples were selected at random from patients at a large HMO in a certain U.S. state. Current Hormone Use None EsterifiedEstrogen ConjugatedEquineEstrogen Venous Thrombosis 382 86 121 No VenousThrombosis 1,439 505 299 Is there convincing evidence that the proportions of those who would fall into each of the hormone use categories are not the same for women who have been diagnosed with…
Which statistical test should be used? Researchers wondered if frequent checking of email increases stress. They randomly assigned their participants to check email just three times a day for a week, and then in the second week, to check email as often as they wanted. The researchers did find that participants were less stressed, on average, during the limited email week than during the unlimited email week. Which statistical test should be used? A professor was interested in studying how academic major (Psychology vs. Chemistry) is related to creativity (assessed by a creativity questionnaire). Which statistical test should be used to for a difference between psychology and chemistry majors in creativity?
Studies indicate that excessive noise at night can affect weight gain. One study of n = 127 rats compared the weight gain of rats exposed to excessive noise at night and the weight gain of rats in a quiet night environment. Sample statistics for the study are given in the table below. Use this information to determine if there is significant evidence that weight gain of rats exposed to excessive noise at night is different on average than weight gain of rats in a quiet night environment. Excessive noise at night environment (Group 1) Quiet night environment (Group 2) Sample mean (grams) 22.4 19.9 Sample standard deviation (grams) 6.4 3.8 Observations/Sample size 69 58 Is this a one-tailed or a two-tailed test? Explain in one or two sentences.
A researcher gathered a sample of participants who volunteered for a studying of phobias. She measured anxiety level of participants as they viewed photos of spiders and again when they viewed puppies. Which statistical test is appropriate for this study and why?
Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
Find tests statitic and p-score.
A consumer group wanted to determine if there was a difference in customer perceptions about prices for a specific type of toy depending on where the toy was purchased. In the local area there are three main retailers: W-Mart, Tag, and URToy. For each retailer, the consumer group randomly selected 5 customers, and asked them to rate how expensive they thought the toy was on a 1-to-10 scale (1= not expensive, to 10 = very expensive). The toy was priced the same at all retail stores. 1. What kind of statistical test should be used to test the consumer group's research goal, assuming that the researcher wanted to use the 1-to-10 scale as a numerical interval measure? A. Repeated-measures t-test B. One-way Independent Measures ANOVA C. Repeated-measures ANOVA D. Independent-measures t-test 2. State the hypothesis that aims to test the consumer group’s research goal (i.e., what is H0 and HA).
A psychologist would like to examine the effects of caffeine consumption on the activity level of preschool children. Three samples of children are selected with n = 5 in each sample. One group gets no caffeine, one group gets a small dose, and the third group gets a large dose. The psychologist records the activity level for each child during 50 minutes of unstructured play. Determine whether these data indicate significant differences among the three groups using a = .05. Your answer should include hypotheses, critical boundary, F-score, and results including notation, decision, and explanation. Calculate and interpret effect size if appropriate. Indicate whether post- hoc test results should be calculated (i.e., "yes, include" or "no, do not include"). No caffeine Small dose Large dose T= 15 T= 20 T= 25 G = 60 SS = 16 SS = 12 SS = 20 Ex2 = 298
A study tested the effects of 4 different dosages of a new antidepressant on reducing depressive symptoms in one group of depressed participants. The order of the four dosages was counterbalanced across participants. Which statistical test should be used? Select one: a. One-way between subjects ANOVA b. One-way repeated measures ANOVA c. Two-way between subjects ANOVA Incorrect d. None of these options

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS