An article in the *San Jose Mercury News* stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. Dr. Lewis believes the mean time for students at Clayton State University is longer than this average. A survey of 49 graduates from Clayton State had a mean time of 5.1 years to complete their Bachelor's degree, with a sample standard deviation of 1.2 years. Correctly identify the null and alternative hypotheses for this study: The image presents a series of hypotheses used in statistical hypothesis testing. Each set includes a null hypothesis (\(H_0\)) and an alternative hypothesis (\(H_A\)). 1. **First Set:** - Null Hypothesis (\(H_0\)): \(\mu = 4.5\) - Alternative Hypothesis (\(H_A\)): \(\mu < 4.5\)2. **Second Set:** - Null Hypothesis (\(H_0\)): \(\mu = 4.5\) - Alternative Hypothesis (\(H_A\)): \(\mu > 4.5\)3. **Third Set:** - Null Hypothesis (\(H_0\)): \(\mu = 4.5\) - Alternative Hypothesis (\(H_A\)): \(\mu = 5.1\)4. **Fourth Set:** - Null Hypothesis (\(H_0\)): \(\mu = 5.1\) - Alternative Hypothesis (\(H_A\)): \(\mu \neq 5.1\)These hypotheses are used to test statistical claims or analyze data, where \(\mu\) denotes the population mean being tested.

It is needed to test whether the mean time for students to finish their undergraduate degrees is…

Answered: An article in the San Jose Mercury News…

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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In one city, the average amount of time that tenth-graders spend watching television each week is 23 hours. The principal of Birchwood High School believes it is less for the 10th grade students that at his school. For a sample of 95 tenth-graders from the school, the mean amount of time spent watching television per week was 21.9 hours. Assuming a population standard deviation of 3.1 hours, does the data provide sufficient evidence to conclude that for all tenth-graders at Birchwood High school, the mean amount of time spent watching television per week is less than the city average of 23 hours? Perform the appropriate hypothesis test using a significance level of 0.005. What are the hypotheses? What is the test statistic? Is it a z or a t? Find the P-value for this test statistic. How does it compare to the significance level? On the normal curve, indicate the location of the test statistic and the p-value. (label them on the graph) Write…
2. Are low-fat diets or low-carb diets more effective for weight loss? This question was addressed by a scientific study). A sample of 77 subjects went on a low-carbohydrate diet for six months. At the end of that time the sample mean weight loss was 4.7 kg with a sample standard deviation of 7.2 kg. A second sample of 79 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kg with a standard deviation of 5.9 kg.a. Can you conclude that the mean weight loss is greater for those on the low-carbohydrate diet than that of the low-fat diet? Use the correct test statistic and p-value to answer. b. Can you conclude that the mean weight loss on the low-carbohydrate diet is 1kg greater than that of the low-fat diet? Use the correct test statistic and p-value to answer.
The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 41 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 25 sales representatives reveals that the mean number of calls made last week was 43. The standard deviation of the sample is 2.8 calls. Using the 0.010 significance level, can we conclude that the mean number of calls per salesperson per week is more than 41? H0: μ ≤ 41 H1: μ > 41 Compute the value of the test statistic. (Round your answer to 3 decimal places.) What is your decision regarding H0?

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