Find the value of the test statistic.T+=Find the p-value. (Round your answer to four decimal places.)p-value = In this exercise involving paired differences, consider that it is reasonable to assume the populations being compared have approximately the same shape and that the distribution of paireddifferences is approximately symmetric.A sample of 10 men was used in a study to test the effects of a relaxant on the time required to fall asleep. Suppose data for 10 subjects showing the number of minutes required to fall asleep withand without the relaxant follow.Subject12345678910RelaxantNo Yes14 1112 10228116910129119411614 107

Answered: In this exercise involving paired…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An immunologist wants to compare two rabies vaccines. People who had previously received the vaccine were divided into two groups. The first group received a booster dose of type I vaccine and the second group received a booster dose of type II vaccine. Two weeks later the antibody level was measured. The average number of antibodies in each group appears in the following table: Do these data indicate that there is a difference in the effectiveness of the two vaccines used for booster doses? Assume a normal distribution and equal population variances. What type of hypothesis test will allow us to reach a conclusion in the situation posed above? A. Variance test B. Unilateral for difference in proportions C. Bilateral for average difference D. Unilateral for change in effectiveness
The data below are from an independent-measures experiment comparing three different treatment conditions. Use an ANOVA with a = .05 to determine whether these data indicate any significant differences among the treatments Treatment 1 Treatment 2 Treatment 3 0 1 4 N = 12 0 4 3 G = 24 0 1 6 åX2 = 92 2 0 3 M = 0.5 T = 2 M = 1.5 T = 6 M = 4 T = 16 SS = 3 SS = 9 SS = 6
Identify the statistical procedures that are appropriate for the data. When possible, identify descriptive statistics, inferential statistics, and a measure of effect size Research suggests that the antioxidants in foods such as blueberries can reduce and even reverse age-related declines in cognitive functioning ( Joseph et al., 1990) to test this phenomenon, a researcher selects a sample of n = 25 adults aged 70 to 75 and administers a cognitive function test to each participant. The participants then drink a blueberry supplement every day for 4 months before they are tested again. The researcher compares the scores before treatment with the scores after treatment to see if there is any change ion cognitive function.
The National Cancer Institute conducted a 2-year study to determine whether cancer death rates for areas near nuclear power plants are higher than for areas without nuclear facilities. A spokesperson for the Cancer Institute said, "From the data at hand, there was no convincing evidence of any increased risk of death from any of the cancers surveyed due to living near nuclear facilities." Let p denote the proportion of the population in areas near nuclear power plants who die of cancer during a given year. The researchers at the Cancer Institute have considered the null and alternative hypotheses below: А. Họ: p = value for areas without nuclear facilities Hạ: p> value for areas without nuclear facilities According to the spokesperson's statement, what is the conclusion of the National Cancer Institute? Select one of the following: Reject Ho Fail to reject Ho Reject Ha Fail to reject Ha
A psychologist would like to research if the Hope scale (Synder, et al., 1991) scores differ between those living in City A and City B. The 12-item scale consisted of two subscales: a 6-item agency subscale and a 6-item pathways subscales. Scores on the 12 items were averaged, with higher scores indicating higher levels of hope. The following scores were obtained. Use Student’s t Test for Independent Groups, alpha at .05 2 tail City A 43 38 36 38 52 60 58 66 55 63 City B 62 34 35 52 58 72 57 55 80 67 Alternative hypothesis: ____________ Null hypothesis: ____________ t obtained: ____________ t critical: ____________ df: ____________ Cohen’s d: ____________ P value: ____________ Decision: ____________ Solution:
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.
Which of these experimental designs has the most statistical power (is more likely to show a true difference between 2 treatment conditions)? A. Between-Subjects B. Descriptive Study C. Correlational Study D. Within-Subjects
For this example should a correlated or independent sample t test be used? Delayed posttest achievement scores were compared withimmediate posttest scores for all participants.
In this exercise involving paired differences, consider that it is reasonable to assume the populations being compared have approximately the same shape and that the distribution of paired differences is approximately symmetric. A sample of 10 men was used in a study to test the effects of a relaxant on the time required to fall asleep. Suppose data for 10 subjects showing the number of minutes required to fall asleep with and without the relaxant follow. Subject 1 2 3 4 5 6 7 8 9 10 Relaxant No Yes 15 10 13 21 9 10 7 10 11 8 8 11 9 4 10 10 6 15 11 7 Use a 0.05 level of significance to determine whether the relaxant reduces the median time required to fall asleep. State the null and alternative hypotheses. ● Ho: Median time without relaxant - Median time with relaxant ≤ 0 H₂: Median time without relaxant - Median time with relaxant > 0 a O Ho: Median time without relaxant - Median time with relaxant + 0 H₂: Median time without relaxant - Median time with relaxant = 0 O Ho: Median time…
Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents.x 12.3 28.6 24.5 14.3 7.5 27.7 16.2 20.1y 23 72 39 23 15 30 15 25 a) Compute r. (Round your answer to four decimal places.)
Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents. x 10.9 30.4 24.5 14.3 7.5 27.7 16.2 20.1 y 23 76 39 23 15 30 15 25 (a) Make a scatter diagram of the data. Then visualize the line you think best fits the data. A scatter diagram has a horizontal axis labeled "x (student enrollment (in thousands))" with values from 7.5 to 30.4 and a vertical axis labeled "y (annual number of burglaries)" with values from 15 to 76. The scatter diagram has 8 points. A pattern goes up and…
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year Occupied Rooms 1,360 1,386 Total Rooms 1,700 1,800 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let pi = population proportion of rooms occupied for current year Pa= population proportion of rooms occupied for previous year Ho : Pi - Pa H.: Pi - P2 Select your answer Select your answer b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Current year Previous Year c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. p-value - Using a 0.05 level of significance, what is your conclusion? We Select your answer- vthat there has…

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