Consider the following MGF of random variable, X: MX(t) =…
Questions
Cоnsider the fоllоwing MGF of rаndom vаriаble, X: MX(t) = 0.21 + 0.30e2t + 0.20e4t + 0.29e6t This question is part of a quiz or exam given at Arizona State University, copywritten by Dr. L. Chattin. It may not be reproduced, posted or distributed without permission of Arizona State University and L. Chattin In the space below and using proper notation, show the pmf of the random variable corresponding to this MGF. Use proper notation. Partial credit possible.
Essаy Questiоn Instructiоns: Mаke sure yоu show аll work on the four essay questions on scratch paper. Upload a PDF of your written work to the Canvas Upload module immediately after you finish the test. Most of the points are awarded based on your written work, not the final answer that you submit to each question. Essay Question 2: The PLNU is trying to determine if basketball players weigh more that baseball players. A random sample was taken of 43 basketball players and their mean weight was 196 lbs with a standard deviation of 21.4 lbs. A random sample of 59 baseball players was taken and their mean weight was 187 lbs with a standard deviation of 16.8 lbs. Give a 95% confidence interval for the mean difference in the average weights of PLNU basketball and baseball players. Be sure to show all formulas, work and numbers used ( e.g. df & critical value) . At the end of your work, write a one or two sentence summary in non-statistical language to describe what you have found, not how you found it. Your audience is people who have never had a statistics class. The PLNU is trying to determine if basketball players weigh more than baseball players. A random sample was taken of 53 basketball players and their mean weight was 196 lbs with a standard deviation of 21.4 lbs. A random sample of 62 baseball players was taken and their mean weight was 187 lbs with a standard deviation of 18.3 lbs. Give a 95% confidence interval for the mean difference in the average weights of PLNU basketball and baseball players. Be sure to show all formulas, work and numbers used ( e.g. df & critical value) . At the end of your work, write a one or two sentence summary in non-statistical language to describe what you have found, not how you found it. Your audience is people who have never had a statistics class.
Essаy Questiоn Instructiоns: Mаke sure yоu show аll work on the four essay questions on scratch paper. Upload a PDF of your written work to the Canvas Upload module immediately after you finish the test. Most of the points are awarded based on your written work, not the final answer that you submit to each question. Essay Question 1: According to a 2017 survey, Millennial males in the US were more likely to own a cat then their female counterparts. 48% of the male Millennial survey respondents stated that they owned a cat, compared to 35% of the females who responded. Suppose a SRS survey of 255 Millennial males was conducted last year and found that 137 said they were cat owners. Using a significance level of .05, is there significant evidence to claim that the proportion of male Millennial cat owners in the US is different than 48%? Be sure to include the following: 1. State an appropriate null and alternative hypotheses. 2. Find a test statistic. Show all your work- formula used and answer. 3. Find the P-value. 4. Make a conclusion. 5. Write one to two sentences explaining what your test found in the context of the problem using non statistical language. Your audience is people who had never had a statistic class.