2. The S.A. Department of Labour and Statistics South Africa released the currentunemployment rate of 5.3% for the month in S.A. and claims the unemployment hasnot changed in the last two months. However, the STATSA reveal that there is achange in S.A's unemployment rate. What are the null and alternative hypotheses?(a) Ho: p > 0.053; H₁: p < 0.053(b) Ho: p = 0.053; H₁: p > 0.053(c) Ho: p = 0.053; H₁: p = 0.053(d) Ho: p = 0.053; H₁: p = 0.053

Let p be the population proportion unemployment rate p=5.3%=0.053

Answered: 2. The S.A. Department of Labour and…

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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3. A UCC Professor gives his class an achievement test which, as he knows from years of experience, yields a means µ=80. His present class of 25 obtains a mean of 87 and a standard deviation of 5. He now claims that his present class is a superior class. Is he correct in his claim? a=0.05?
Andrew plans to retire in 40 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on past returns. He learns that over the entire 20th century, the real (that is, adjusted for inflation) annual returns on U.S. common stocks had mean 8.7% and standard deviation 20.2%. The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal. What is the probability (assuming that past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 10%? What is the probability that the mean return will be less than 5%?
i- Write two main differences between Forecasting and Time-Series Analysis (TSA)?ii- Is forecasting technique more accurate than TSA? Justify your answer.iii- If you were to go buy a car and are provided with the following data sets (standarddeviation and Variance). Which set of data would help you make a better decision?And why?iv- Find the p-value if Z < -.90, alpha = 0.05 (one-tail, lower tail)v- Find P-value in a left tailed test if the test statistics is z = -1.87
Andrew plans to retire in 30 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on past returns. He learns that over the entire 20th century, the real (that is, adjusted for inflation) annual returns on U.S. common stocks had mean 8.7% and standard deviation 20.2%. The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal. (a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 30 years will exceed 11%? (b) What is the probability that the mean return will be less than 4%?
1. A survey of National Capital Region finds the average commute time of employees on one way is 30 minutes. The Makati Chamber of Commerce feels that in their city is greater and wants to publicizethis. They randomly select 28 commuters and finds the average is 35 minutes with a standard deviation of 6 minutes. At a = 0.05, are they correct? Solution: Step 1: State the hypotheses. Ho:. H: Step 2: The level of significance and critical region. a = df = and tatical = Step 3: Compute for the value of one sample t test. tomputnd %3D Step 4: Decision rule. Step 5: Conclusion.
16. According to a food website, the mean consumption of popcorn annually by Americans division of the food website unleashes an aggressive campaign designed to get Americans to consume even more popcorn. Complete parts (a) through (c) below. 63 quarts. The marketing (a) Determine the null and alternative hypotheses that would be used to test the effectiveness of the marketing campaign. (1) (2) Ho: (3) (4) H1: (Type integers or decimals. Do not round.) (b) A sample of 895 Americans provides enough evidence to conclude that marketing campaign was effective. Provide a statement that should be put out by the marketing department. O A. There is not sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. O B. There is not sufficient evidence to conclude that the mean consumption of popcorn has risen. O C. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. O D. There is sufficient evidence to conclude that the…
The 1989 U.S. Open golf tournament was played on the East Course of the Oak Hills Country Club in Rochester, New York. During the second round, four golfers scored a hole in one on the par 3 sixth hole. The odds of a professional golfer making a hole in one are estimated to be 3,708 to 1, so the probability is 1/3,709. There were 155 golfers participating in the second round that day. a. What is the probability that no one gets a hole in one on the sixth hole? (Round your answer to 5 decimal places.) Probability b. What is the probability that exactly one golfer gets a hole in one on the sixth hole? (Round your answer to 5 decimal places.) Probability c. What is the probability that four golfers score a hole in one on the sixth hole? (Round your answer to 3 decimal places.) Probability
State the null and alternative hypotheses that would be used to test the following claims. 1. (a) There is a difference between the mean ages of employees at two different large companies. (b) The mean of population A is less than 50 more than the mean of population B. (c) The average length of the workweek in mining is longer than that in manufacturing.

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