MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Dr. Slim developed a new drug he hypothesizes will cause people to lose weight. He randomly assigned participants into either the control group (no drug) or the experimental group (1 pill a day for two months). At the end of the 2ndmonth he weighed each participant and recorded the amount of weight loss (i.e., measured in pounds) since the beginning of the program. The results were as follows: control group experimental group 21 33 20 17 26 39 27 22 21 17 24 19 17 32 13 29 88 19 32 31 29 31 26 30 29 36 22 26 Analyze the data using an independent two sample t-test and interpret the results.arrow_forwardoblem #3: An auto manufacturer makes a type of car that is known to have an average mileage of 27.6 miles per gallon on the highway. They want to put a smaller engine in this type of car, and they want to see if this increases the average mileage. They test the new engine on a random sample of 10 cars. The mileages for this sample of cars are shown below: 29.9, 31.1, 28.3, 30, 30.3, 28.5, 30.3, 26.9, 29.3, 29.8 The sample mean and sample standard deviation are calculated to be 29.4 mpg and 1.23 mpg, respectively. Mileages are known to follow a normal distribution with variance 1.8 mpg. We would like to conduct a hypothesis test at the 1% level of significance. Problem #3(b): (a) What is the appropriate rejection region? (b) What is the value of the test statistic? (A) {z-2.575) (B) {z 2.33 (C) {z 2.33} (D) {z -2.33} (E) z 2.575) (F) {z > 2.575} Problem #3(a): Select Part (a) choices. answer correct to 2 decimalsarrow_forwardA clinical psychologist wants to test the effectiveness of three new therapies that have been developed for reducing anxiety symptoms. The researcher recruits 15 participants and randomly assigns them to take part in Therapy A, Therapy B, or Therapy C for a month. At the end of the month, the researcher measures the participants' anxiety symptoms on a scale from 1 to 10 (where a higher score means more anxiety symptoms). The participants' scores are shown below: What is the appropriate test to use ? 3. What are the null and alternative hypotheses ? 4. Using a two-tailed alpha of .05, determine what the critical value is 5. Calculate the test statistic 6. State whether you reject or fail to reject the null hypothesis for the omnibus test 7. Calculate and report the effect size for the omnibus test 8. Perform a Post-Hoc Test. Report the significance of each pairwise comparisonarrow_forward
- A randomly sampled group of patients at a major U.S. regional hospital became part of a nutrition study on dietary habits. Part of the study consisted of a 50-question survey asking about types of foods consumed. Each question was scored on a scale from one (most unhealthy behavior) to five (most healthy behavior). The answers were summed and averaged. The population of interest is the patients at the regional hospital. The current survey was implemented after patients were subjected to this education, and it produced the following sample statistics for 25 patients sampled: and s = 1.02. We would like to know if the education improved nutrition behavior. We test the hypotheses H 0: = 2.9 versus Ha: > 2.9. The value of the t test is 1.96, and: a. P-value > 0.1. b. 0.025 P-value < 0.05. c. 0.25 P-value < 0.01. d. 0.05 P-value < 0.1. Given the least squares regression line y = 3 x – 3, which of the following is true? a. The…arrow_forwardA report summarizing scores for students on a verbal aptitude test x and a math aptitude test y gives the following results: x = 480, sx = 80, y = 500, sy = 120, r = 0.6.arrow_forwardIf you selected a sample of n = 35 from a population whose μ = 56 and σ= 12, what would you expect the sample mean to be?arrow_forward
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