MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Can you show me the research hypotheses, null and alternative using the correct symbols for the following data
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- Suppose a 95% confidence interval for the difference in test scores between Class 1 and Class 2 (in that order) is the following: 9 +/− 2. These results were based on independent samples of size 100 from each class. Now suppose you switch the order of Class 1 and Class 2 in your analysis but keep the data labeled correctly in terms of which class they came from. Which of the following statements is false? A) You can't do it this way. You'll get negative numbers for the difference in the means and/or negative numbers for the standard error. B) You are confident that the average for Class 2 is 7 to 11 points lower than for Class 1. C) You are still confident that the classes have significantly different mean scores. D) Your 95% confidence interval will now be entirely negative: from −7 to −11.arrow_forwardYou take 115 random samples from a population of trees for which the mean height in feet is μ=72μ=72 (but you do not know this), and use each set of data to do a hypothesis test at a 5% level of significance to determine if the population mean is not 72. So the hypotheses are:Ho:μ=72Ho:μ=72Ha:μ≠72Ha:μ≠72In how many of the 115 hypothesis tests would you expect to reject Ho and conclude that the population mean is not 72? Do not round your answer.arrow_forwardYou come across Professor Cafferty's data set from his Master's thesis and realize that he has data on types of family support that 26 homosexual men had during young adulthood (about 18-25 years old). You come across two questions where the respondent was asked if they would identify their family as religious and whether or not they received financial support from their family. Please complete the appropriate 8-step hypothesis test using the data below. Had Financial Support Did Not Have Financial Support Family Religious 3 12 Family Not Religious 6 5arrow_forward
- For the following question- It is thought that having a relatively consistent length of message in any given conversation indicates a pattern of helpful, well-balanced communication. In fact, some new research suggests that to ensure a productive conversation the maximum message length should be no more than 8 words greater than the minimum message length in any conversation. Test whether the conversations in the sample meet the criteria suggested by this research study. which type of statistical test would be best used to conduct this test= 1. χ 2 goodness of fit 2. χ 2 test for independence (2-way table) 3. Correlation 4. Anova 5. T testarrow_forwardLooking at youth depression scores from a general sample of random children in the US, we want to determine if our sample is significantly different than the national average of scores of children with depression in the US. The national average of scores on a measure of depression is 5 points. We have no reason to assume it will be higher or lower than the US national average. The sample: 11 9 12 3 3 4 13 1. What is the null and alternative hypotheses? Do not specify any directionality. 2. What did you discover (using 95% Cl)? Provide an interpretation.arrow_forwardThe correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient ? (Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of ? yet. However, there is a quick way to determine if the sample evidence based on ? is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of r to determine if ? ≠ 0. We do this by comparing the value |r| to an entry in the correlation table. The value of ? in the table gives us the probability of concluding that ? ≠ 0 when, in fact, ? = 0 and there is no population correlation. We have two choices for ?: ? = 0.05 or ? = 0.01.arrow_forward
- A researcher selects a sample from a population with a mean of 50 and administers a treatment to the individuals in the sample. If the treatment is expected to decrease scores, what is the correct statement for the alternative hypothesis for a one tailed testarrow_forwardI really need help with these problemsarrow_forwardThe correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient ? (Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of ? yet. However, there is a quick way to determine if the sample evidence based on ? is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of r to determine if ? ≠ 0. We do this by comparing the value |r| to an entry in the correlation table. The value of ? in the table gives us the probability of concluding that ? ≠ 0 when, in fact, ? = 0 and there is no population correlation. We have two choices for ?: ? = 0.05 or ? = 0.01. (a) Look at the data below regarding the variables x = age of a Shetland pony and y = weight of that pony. Is the value of |r| large enough to conclude that weight and age of Shetland ponies are correlated? Use ? = 0.05. (Round your answer for r to four decimal…arrow_forward
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