Suppose that a group of researchers is planning to test a new weight loss supplement. They have selected a random sample of50 people who are trying to lose weight and plan to measure the amount of weight lost after one month of using thesupplement. Assume that the researchers know from prior experiments that the standard deviation of weight lost in onemonth, o, is 1.5 lb.To show that the supplement is effective, they plan to use a one-sample z-test of Ho: =0 lb against H1: µ > 0 lb, where u isthe mean amount of weight lost in one month. They have also determined that, for a test with a significance level of 0.01, thepower of the test is 0.8348 if the mean amount of weight lost is actually 0.7 lb.What is the probability that the researchers will reject their null hypothesis if the mean amount of weight lost is 0.7 lb ormore? Give your answer as a percentage, precise to two decimal places.

The null and alternative hypotheses are provided as; Here, µ is the mean amount of weight lost in…

Answered: Suppose that a group of researchers is…

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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A random sample of 46 adult coyotes from Northern Minnesota showed the average age to be sample mean of 2.05 years. The population standard deviation is known to be o = 1.13 years. However, it is thought that the average age of coyotes is u = 1.75 years. Test to see if the coyotes in Northern Minnesota live longer than the national average of 1.75 years. Use 0.03 level of significance. What are the hypotheses? A: Ho µ= 1.75 years vs HA µ> 1.75 years B: Ho µ= 1.75 years vs HA H 2.05 years D: Ho µ = 2.05 years vs HA u< 2.05 years O A D O O
1) Your instructor tells you that past average scores for the final exam are 75%. But this semester he has been using online quizzes to help your class better prepare for the final. Your class scored the following on the final exam: mean= 80% with a 10% standard deviation. There are 49 people in your class. Using a one-sample t test, what is your t score for this class? Assuming α = .05, did the online quizzes help your class perform better?
Scores on a certain "IQ" test for 18-25 year olds are normally distributed. A researcher believes that the average IQ score for students at a certain NJ college is less than 110 points, and so wants to test this hypothesis. The researcher obtain a SRS of 45 student IQ scores from school records and found the mean of the 45 results was 108 with a sample standard deviation of 21. The level of significance (alpha) used for this problem is 0.05. What is the appropriate test statistic (Student must complete by showing by formula using the ap- propriate values in that formula "showing work" and the final answer and appropriate label)? O T test score = (108-110)/(21/sqrt(45)) = -.639 T test score (108-110)/(21/sqrt(45)) = .639 %3D OT test score = (110-108)/(21/sqrt(45)) = .639 %3D T test score (108-110)/(45/sqrt(21)) =-.2037 %3D 素
The population of healthy female adults, the mean red blood cell count (RBC) is 4.8 (millions of cells per cubic millimeter of whole blood). A researcher thinks the RBC is underestimated, so she conducts a test of significance using Null Hypothesis: µ ≤ 4.8 vs. Alternative Hypothesis: µ >4.8. If the true mean RBC is 4.75 and the null hypothesis is rejected, out of the four options below, what has occured? Type 1 Error, Type 2 Error, No error, OR can’t tell without knowing the degrees of freedom?
Clare wants to test whether a new educational programme can help students in a classroom learn how to make fewer spelling mistakes. She wants to use a small-N design. Which design is most appropriate based on this information? O a. Pretest-posttest design O b. ABAB withdrawal design O c. Alternating treatment design O d. Multiple baseline design across participants
An insurance company is interested in studying the mean hospitalization time of patients who suffer strokes at a certain hospital. The hospital claims the mean length of stay is 22 days, but the insurance company believes it is less than claimed. A random sample of 9 patients showed a sample mean stay of 18 days with a sample standard deviation of 3 days. They would like to conduct the test using alpha = 0.1. %3D Calculate the test statistic for the test and enter your answer in the first blank. Round your answer to two decimals. Enter the critical value cutoff point for the rejection region in the second blank. Blank # 1 Blank # 2 Next Page Page 8 of 15 126 NOV 18 MacBook Pro
The environmental research scientists report that the exhaust emissions for a certain car model has a normal distribution with a mean of 1.45 grams of nitrous oxide per mile and a standard deviation of 0.4. The car manufacturer claims their new process reduces the mean level of exhaust emitted for this car model. A Simple random sample of 36 cars is taken and the mean level of exhaust emitted for this sample is 1.21 grams. (a) State the null and alternative hypotheses. (b) Calculate the test statistic. (c) Calculate the Zc and p-value. Draw the picture. (d) What is the decision at the 0.05 significance level?
The effectiveness of surgery for weight loss reported here found that "The surgery was associated with significantly greater weight loss [than the control group who dieted] through 2 years (61.3 versus 11.2 pounds, P<0.001)." What test could have been used and how would it have been computed?
The Wilcoxon signed-rank test can be used to perform a hypothesis test for a population median, η, as well as for a population mean, µ. Why is that so?
A random sample of 32 items from the first population showed a mean of 112 and a standard deviation of 19. A sample of 28 items for the second population showed a mean of 106 and a standard deviation of 8. Test the assumption that the population variances are equal with 0.10 significance level. Then, using a 0.05 significance level, test the hypothesis that the population means are equal.
A repeated-measures ANOVA was calculated with df = 1, 14. If the same data were analyzed with a repeated-measures t test, how many degrees of freedom would be used with the t statistic?
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